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1.1 Introduction: Solving Limit of a Function

1.2 Different Techniques on Solving Limits

1.3 Evaluating Limit Given the Graph of the Function

2.2 Derivative Rules: Power Rule and Constant Rule

2.5 Computing for the Tangent Line Given a Point

2.7 Using Derivative Rules in Evaluating Functions

2.8 Application of Derivatives on Rectilinear Motions

2.9 Movement of a particle: Backward, Forward, Speeding Up, Slowing Down

3.1 Derivatives of Trigonometric Functions

3.2 Derivatives of the Inverse of a Trigonometric Function

3.3 Derivatives – Exponential Functions (e and constant)

3.4 Derivatives of Logarithmic and Ln Functions.

3.5 Derivatives of Transcendental Functions

3.6 Solving for the Tangent Lines Given Transcendental Functions

4.1 Application of Derivative Rules Given a Table

4.3 Higher Order Derivatives Using Implicit Differentiation

4.4 Related Rates – Balloon and Ripple Problems

4.5 Solving Related Rates on Ladder and Cone Problem

4.6 Finding the Critical Numbers Using Derivatives

4.7 Absolute and Relative (Local) Extrema

4.8 1st Derivative Test for Local Maximum and Local Minimum

4.9 2nd Derivative Test for Concavity and Point of Inflection

4.10 Analyzing the f function given the f' graph

5.2 Antiderivatives of Transcendental Functions

5.3 Riemann Sums – Area Under the Curve

5.4 Area Under the Curve: Reimann Sums Using a Calculator ti84

5.5 Riemann Sums – Estimating Distance Traveled by a Moving Object

5.6 Solving Definite Integrals

5.7 Evaluating Integrals Using its Properties and Common Geometric Figures

5.8 Integral of Absolute Value Functions

5.9 Using the Fundamental Theorem of Calculus in Integrals

5.10 Using U-Substitution or Substitution Method in Integration.

6.1 Applications of Definite Integrals – On Rectilinear Motion

6.2 How to compute for the area under the curve using integrals

6.3 Solving Areas Between Curves Using Ti-84

6.4 Solving Areas Between Curves: Using Subregions

6.6 Integrals – Volumes of a Solid Figure

7.1 Differential Equation – Verifying Solution

7.2 Integrals – Using Separable Equations in integrating Functions

7.3 Calculus: Constructing Slope Fields for Differential Equation

1.1 Accumulation: FRQ 2004 Form B Question 2

1.2 Accumulation: FRQ 2002 Question 2

1.3. Accumulation: FRQ 2005 Question 2

1.4 Accumulation: FRQ 2004 Question 1

1.5 Accumulation: FRQ 2003 Form B Question 2

2.1 Areas and Volumes: FRQ 2004 Form B Question 1

2.2 Areas and Volumes: FRQ 2003 Question 1

2.3 Areas and Volumes: FRQ 2005 Form B Question 1

2.4 Areas and Volumes: FRQ 2000 Question 1

2.5 Areas and Volumes: FRQ 2008 Form B Question 1

2.7 Areas and Volumes: FRQ 2006 Question 1

3.1 Implicit Differentiation: FRQ 2005 Form B Question 5 07/23/2016

3.2 Implicit Differentiation: FRQ 2015 Question 6

3.3 Implicit Differentiation: FRQ 2004 Question 4

3.4 Implicit Differentiation: FRQ 2000 Question 5

4.1 f'(x) Graph Analysis: FRQ 2013 Question 4

4.2 f'(x) Graph Analysis: FRQ 2011 Question 4

4.3 f'(x) Graph Analysis: FRQ 2000 Question 4

4.4 f'(x) Graph Analysis: FRQ 2010 Question 5

5.1 Application on Derivatives and Integration: FRQ 2003 Question 2

5.2 Application of Derivatives and Integration: FRQ 2004 Question 3

5.3 Application of Derivatives and Integration: FRQ 2002 Form B Question 3

5.4 Application of Derivatives and Integration: FRQ 2007 Question 4

5.5 Application of Derivatives and Integration: FRQ 1989 Question 3

5.6 Application of Derivatives and Integration: FRQ 1999 Question 1

6.1 Differential Equation: 2008 Question 5

6.2 Differential Equation: 2005 Question 6

1.1 Differentiating Categorical Vs Quantitative Variable

1.3 Constructing Stem-and-Leaf Plot (Stem Plot)

* 1.4 Constructing Frequency Distribution Table (FDT) And Ogive

1.5 Measuring Center Of A Distribution

1.6 Measuring Spread, Determining Inter-quartile Range (IQR) and Constructing Box Plot

2.1 Measuring Relative Standing Using Z-Scores

2.2 Using the 68-95-99.7 Rule in Normal Distribution

2.3 Computing for Normal Probability Using the Z-Table

2.4 Computing for Area Under The Curve - Normal Probability Distribution Using Ti84

2.5 Computing for Normal Probability Using Given the Mean and Standard Deviation

3.1 Differentiating Explanatory Vs Response Variable (Scatterplot)

3.3 Interpreting Correlation or the value of "r"

3.4 Writing Linear Model (LSRL) To Predict Outcome

3.5 Generating Linear Model (LSRL) Using Computer Output and Numerical Summary

4.1 Designing Experiments - Population Vs. Statistic

4.2 Designing Experiments - Selection Bias and Lurking Variable vs Confounding Variable

4.3 Randomizing Sample Using Table of Random Numbers or Random Number Generator

4.4 Simulating an Experiment by Using Random Number Generator

5.1 Sample Space & Classical Probability

5.2 Probability Rules (Dependent and Independent Events)

5.4 Conditional Probability Using 2-way Table and General Addition Rule

5.6 Probability Using a Two-way Table, Venn Diagram, and Tree Diagram

6.1 Probability of Discrete Random Variables

6.2 Calculating the Mean and Standard Deviation of a Random Variable

6.3 Verifying and Solving Binomial Probability

6.4 Computing for the Mean and Standard Deviation of a Binomial Distribution

7.1 The Central Limit Theorem (Parameter VS Statistic)

7.2 Computing for the Mean and Standard Deviation of the Mean Sampling Distribution

7.3 Verifying Conditions of the SAMPLE PROPORTION for Normal Approximation

7.4 Computing for the Mean And Standard Deviation of Sample Proportions

8.1 Introduction to Confidence Interval for Population Mean

8.2 Computing for the Confidence Interval for Population Mean

8.3 Computing For The Sample Size to Estimate the Population Mean

8.4 Confidence Interval Using t-distribution for One-Sample Mean (Unknown parameter)

8.6 Computing For Confidence Interval For Population Proportion and Determining Desired Sample Size

8.7 Calculating the Estimation of the Population Parameter on One-Sample Proportion

9.1 Introduction To Hypothesis Testing

9.2 Performing Hypothesis Testing For One-Sample Mean Using Z-test

9.4 Hypothesis Testing for Two-Sample Means

9.5 Interpreting Type I And Type II Errors in Hypothesis Testing

9.6 Performing Hypothesis Testing On One-Sample Proportion

9.7 Performing Hypothesis Testing For Two-Sample Proportions

9.8 Chi Square Goodness of Fit (GOF) Test

9.9 Chi-Square for Independence and Homogeneity

9.10 Chi-Square Test for Two-Way Table - Test for Independence

1.3 Function Operations: Practice Exercises

1.4 Finding the Inverse of a Function

2.2 Finding Roots or Solutions of Polynomial Functions

2.3 Finding Roots of Polynomials

3.1 Simplifying Rational Expressions

3.2 Multiplying and Dividing Rational Expressions

4.1 Introduction to Linear Algebra

4.3 Multiplication of Matrices

4.4 Finding the Determinants of a 2x2 and 3x3 Matrices

4.5 Finding the Inverse of a Matrix

4.6 Using Back Substitution to Solve an Augmented Matrix

5.1 Introduction to Conic Sections

5.2 Analyzing and Graphing Parabola with Vertex at (h,k)

5.3 Analyzing an ELLIPSE Center: (0,0)

5.4 Analyzing an ELLIPSE Center: (h,k)

5.6 Converting Conic Sections from its General Form to its Standard Form

7.1 Converting Degree to Radian Measure

7.3 Right Triangle Trigonometry

7.4 Graphing Sine and Cosine Funciton

7.5 Graphing Inverse of Trigonometric Functions

7.6 Using Sine Law to Solve Oblique Triangles

8.1 Solving Trigonometric Equations

8.2 Solving Trig. Equations Using the Unit Circle

8.4 Proving Identities with factoring

8.5 Trigonometry Application - Solving Word Problems Using SOh Cah Toa

8.7 Converting Complex Numbers to its Trigonometric Form (Polar Coordinate)

1.2 One-Step and Two-Step Equation

1.3 Solving Ratio and Proportions

1.4 Solving Literal Equations (Transforming Formula)

1.5 Translating Algebraic Expressions to Numerical Expressions

2.1 Solving Linear Inequalities

2.2 Solving and Graphing Linear Inequalities

2.3 The Coordinate System - Plotting Points in the x-y plane

2.4 Graphing Functions by Modeling (plotting points)

3.1 Finding the Slope of a Line Given 2 Points

3.2 Writing Equation of a Line Given the Slope and Y-intercept

3.3 Using the Slope-Intercept Form in Writing the Equation of a Line

3.4 Finding for the x-intercept and y-intercept

3.5 Graphing Equation of a Line Using the Slope-Intercept Form

3.6 Writing the Equation of a Line Using the Point-Slope Form

4.1 Solving and Graphing Compound Inequality

4.2 Graphing Linear Inequalities

4.3 Solving Linear System by Graphing

4.4 Solving Linear System by Subsitution

2.1 Solving Linear System by Graphing

2.2 Solving Linear System by Substitution

2.3 Solving Linear Systems by Elimination

2.4 Solving Systems of Linear Inequalities

2.5 Introduction to Linear Algebra

2.6 Solving for the Determinants of a 2x2 and 3x3 Matrix

2.7 Using Cramer's Rule to Solve Systems of Linear Equations.

3.1 Classifying Polynomials Using its Standard Form

3.2 Polynomial Operations (adding, subtracting, multiplying)

3.4 Different Techniques in Factoring Polynomials

4.1 Solving Quadratic Equations Using ZPP and Quadratic Formula

4.2 Solving Quadratic by Completing the Square

4.4 Finding Roots of the Polynomial Using the Factor Root Theorem and Remainder Theorem

5.1 Review on Operations on Fractions

5.2 Simplifying Rational Expressions by Factoring

5.3 Multiplying and Dividing Rational Expressions

5.4 Adding and Subtracting Rational Expressions

6.1 Sequences and Series and Factorial Notations

6.3 Constructing Box-and-Whiskers Plot

6.4 Classical Probability Using the Sample Space

6.5 Conditional Probability Part 1

7.1 Simplifying Rational Exponents

7.2.1 Converting Logarithmic Functions to Exponential Equations

7.2.2 Practice Exercises on Converting Logarithmic Functions

7.3 Solving Logarithmic Expressions

7.5.1 Solving Logarithmic Equation

8.1 Converting Degree Measure to Radian Measure

8.3.1 Right Triangle Trigonometry SOH-CAH-TOA

8.3.2 Practice Exercises on Solving Right Triangle Trigonometry

8.4 Graphing Sine and Cosine Functions

8.5.1 Graphing Secant and Cosecant Functions

8.5.2 Practice Exercises on Graphing Trigonometric Functions

9.1.1 Solving Trigonometric Equations

9.1.2 Practice on Solving Trigonometric Equations Using the Unit Circle

9.2 Solving Trigonometric Equations Using the Identities

9.3.1 Simplifying Trigonometric Identites

9.3.2 Practice Exercises on Simplifying Trigonometric Expressions

9.4 Proving Trigonometric Identities

9.5.1 Proving Trigonometric Identities Part 2

10.1 Introduction to Conic Sections: Parabola with Vertex at the Point of Origin

10.2 Analyzing and Graphing Parabola with Vertex at (h,k)

10.2.2 Practice Exercises on Analyzing Parabola

10.3 Analyzing an ELLIPSE Center: (0,0)

2.1 Fraction Operations: Introduction to Rational Expressions

2.2 Simplifying Rational Expressions by Factoring

4.1 Introduction to Linear Algebra

4.3 Multiplication of Matrices

4.4 Finding the Determinants of a 2x2 and 3x3 Matrices

4.5 Practice Exercises on Finding the Determinants of a 2x2 and 3x3 Matrix

2.1 Writing Linear Equations in Slope-Intercept Form

2.2 Graphing Equation of a Line in Slope-Intercept Form

3.2 Lesson on Writing Polynomials in Standard Form

4.1 Factoring Using the Greatest Common Factor

4.2 Factoring Quadratics: ax^2 +bx +c, where a=1

4.3 Factoring Quadratics: ax^2 +bx +c, where a>1

4.4 Practice Exercises on Factoring Quadratics

5.1 Simplifying Rational Expressions

5.2 Multiplication and Division of Rational Expressions

5.3 Addition and Subtraction of Rational Expressions

5.4 Practice Exercises on Operations Involving Rational Expressions

2.1 Modeling Functions by Plotting Points

2.2 Describing the Domain and Range

2.3 Graphing Linear Functions using the Slope-Intercept Form

4.3 Factoring Polynomials by its GCF

4.4 Factoring Quadratics Part 1

5.1 Review on Operations with Fractions

5.2 Simplifying Rational Expressions

5.3 Multiplying and Dividing Rational Expressions

2.1 Statements, Negation, and Quantified Statements

2.2 Writing Compound Statements

3.1 Translating Algebraic Expressions to Numerical Expressions

3.2 Solving 0ne-Step and Multi-Step Equations

3.3 Solving Ratio and Proportion

4.2 Fundamental Counting Principle Using Permutation

4.3 Fundamental Counting Principle - Combination

5.1 Constructing Frequency Distribution Table and Ogive

5.2 Measure of Central Tendency

5.4 Normal Distribution - Using Z-score

5.5 Computing for Percentile Using Z-Score

5.6 Probability of a Normal Distribution Using the Z-Table

5.7 Independent vs Dependent Variables on Bivariate Data

1.1 Describing the Domain and Range of a Function

1.2 Graphing Function by Modeling

1.3 Evaluating Function and Function Operations

1.5 Evaluating Composite Function

1.6 Finding the Domain of a Rational Function

1.7 Finding the Horizontal Asymptote of a Rational Function

1.8 Finding the Inverse of the Function Algebraically and Graphically

2.1 Converting Exponential to Logarithmic Function

2.2 Solving Logarithmic Expressions

2.3 Using Properties of Logarithms

2.4 Applications of the Properties of Logarithms

2.5 Solving Logarithmic Equations

2.6 Solving Logarithmic Equation Using the Change of Base Formula

1.1 Evaluating Factorial Notations

1.2 Evaluating Sequences and Series

1.3 Solving Arithmetic Sequence

1.4 Evaluating Geometric Sequence

1.5 Evaluating Summation Notation

1.6 Performing Proof of Math Induction

1.7 Mastering Factoring Polynomials

1.8 Solving for the Roots of the Factorable Polynomial

1.9 Dividing Polynomials (Long Division and Synthetic Division)

1.10 Remainder Theorem and Factor Root Theorem

1.11 Practice Exercises on Using the Factor Root and Remainder Theorem

3.1 Probability Rules and Dependent and Independent Events

3.3 Probability Using Two-Way Table, Venn Diagram, and Tree Diagram

4.1 Calculating Quartiles of Ungrouped Data

4.2 Calculating Percentile Using Z-Scores

2.1 Translations of Verbal to Numerical Expressions

2.2 Evaluating Algebraic Expressions

2.3 Classifying and Operations on Polynomials

3.1 Solving Linear Equations in One Variable

3.2 Solving and Graphing Linear Inequalities

3.4 Graphing Systems of Linear Inequalities

3.5 Practice Exercises on Graphing Systems of Linear Inequalities

4.1 Identifying Quantitative and Qualitative Data

4.2 Graphing and Interpreting a Dotplot

1.1 Factoring Polynomials Using its GCF (Greatest Common Factor)

1.2 Factoring Quadratics: ax^2 + bx + c, a=1

1.3 Factoring Quadratics: ax^2 + bx + c, a>1

1.4 Solving for the Solutions of Factors of Polynomials

1.5 Simplifying Rational Algebraic Expressions

1.6 Simplifying Algebraic Rational Expressions by Factoring

1.7 Multiplication and Division of Rational Algebraic Expressions

1.8 Addition and Subtraction of Rational Algebraic Expressions

1.9 Practice Exercises on Operations Involving Rational Algebraic Expressions

1.10 The Cartesian (Rectangular) Coordinate System

1.11 Using the Coordinate System in Modeling Equations

1.12 Finding Slope Given Two Points

1.13 Writing Linear Equation Given the Slope and the Y-Intercept

1.14 Slope-Intercept Form Given 2 Points

1.15 Using the Point-Slope Form in Writing the Equation of a line

2.1 Solving System of Linear Equations by Graphing

2.2 Identifying Types of Solutions of System of Linear Equations by Graphing

2.3 Solving System of Linear Equations by Substitution

2.4 Solving System of Linear Equations by Elimination Method

2.5 Practice Exercises on Solving Systems of Linear Equations with 2 Variables

2.6 Graphing Linear Inequalities with 2 Variables and Solving Systems of Linear Inequalities

2.7 Describing the Domain and Range of a Function

2.8 Graphing Linear Equations Using the y-Intercept and x-intercept

4.1 Computing For Probability - Classical Probability and Sample Space

4.2 Experimental Probability or Theoretical Probability

4.3 Probability Rules and Probability of Dependent and Independent Events Part 1

4.4 Probability Rules and Probability of Dependent and Independent Events Part 2

1.1 Factoring Quadratic Equations ax2 + bx + c; a=1

1.2 Factoring Quadratic Equations ax2 + bx + c; a>1

1.3 Solving Quadratic Equations by Extracting Square Roots

1.4 Solving Non-Factorable Quadratic Equations by Quadratic Formula and Completing the Square

2.2 Simplifying Radical Expressions

2.3 Simplifying Expressions with Rational Exponents

2.4 Practice Exercises on Using the Law of Exponents on Expressions with Rational Exponents

2.5 Addition and Subtraction of Radical Expressions

4.1 Introduction to Trigonometry

4.2 Understanding the Unit Circle

4.3 Solving Right Triangle Trigonometry – SOH CAH TOA

4.4 Solving for the 6 Trigonometric Ratio

4.5.1 Solving the Missing Side(s) of a Right Triangle

4.5.2 Practice Exercises on Solving Right Triangle Using SOH CAH TOA

1.1 Introduction to Conic Sections

1.3 Writing the Standard and General Form of a Parabola

1.5 Writing the Standard and General Form of a Ellipse

1.8 Converting General Form of a Conic Section to its Standard Form

2.1 Series and Factorial Notations

2.2 Evaluating Summation or Sigma Notation

3.2 Converting of Degree Measure to Radian Measure and Vice Versa

3.3 Right Triangle Trigonometry Using Pythagorean Theorem

3.4.1 Using the 6 Trigonometric Ratio in Solving Triangle

3.4.2 Practice Exercises on Solving Right Triangle

3.5 Graphing Sine and Cosine Function

3.6 Graphing Secant and Cosecant Functions

3.7 Practice Exercises on Graphing Trigonometric Functions and its Inverse

3.8.1 Solving Trigonometric Equations

3.8.2 Practice Exercises on Solving Trigonometric Equations Using the Unit Circle

3.9.1 Simplifying Trigonometric Expressions (Identities)

3.9.2 Practice Exercises on Simplifying Trigonometric EXPRESSIONS

3.10 Solving Trigonometric Equations Using the Identities

3.11.1 Proving Trigonometric Identities

3.11.2 Practice on Proving Trigonometric Identities

3.12 Sum and Difference Identity Formula

3.13 Converting Rectangular Coordinate to Polar Form of Trig. Functions

3.14 Multiplying and Dividing Polar Forms of Trigonometric Functions

3.15 Expanding Polar Form of Trigonometric Functions Using De Moivre's Theorem

1.1 Identifying Discrete Random Variable and Continuous Random Variable

1.2 Computing for Probability of Discrete Random Variable

1.3 Two Cases on Solving Probability of Discrete Random Variable

1.4 Calculating the Mean and Standard Deviation of Discrete Random Variable

1.5 Solving Probability on BINOMIAL Distribution

1.6 More Examples on Solving Binomial Probability

1.7 Finding the Mean and Standard Deviation of a Binomial Distribution

1.8 Probability and Measures of Negative Binomial or Geometric Distribution

2.1 Characteristic of Normal Distribution in Relation to Continuous Random Variable

2.2 Empirical Rule: 68-95-99.7 Rule

2.3 Solving Probability using the Empirical Rule

2.4 Solving Percentile of a Normal Distribution

2.5 Solving Normal Probability Using the Z-Score of the Distribution

2.6 Solving Normal Probability Using the Z-Table

2.7 Computing for Normal Probability Using a Graphing Calculator

3.1 Parameter VS Statistic and the Central Limit Theorem

3.2 Mean and Standard Deviation of the SAMPLE MEAN

3.3 Verifying Conditions of the Sampling Distribution of a SAMPLE PROPORTION

3.4 Computing for the Normal Approximation for Sample Proportion

4.1 Introduction to Confidence Interval

4.3 Calculating Confidence Interval for Sample Mean using T-distribution (parameter is NOT KNOWN)

4.4 Computing for the margin of error, point estimate, and standard error using T-distribution

4.5 Calculating the Desired Sample Size For Estimating the Parameter of Population Mean

4.6 Confidence Interval of Matched-Pairs Design for One-Sample Mean

4.7 Confidence Interval and Desired Sample Size for One-Sample Proportion

4.8 Procedures in Performing Confidence Interval for Population Proportion

5.1 Introduction to Hypothesis Testing

5.2 Performing Hypothesis Test for One-Sample Mean

5.3 Performing Hypothesis Testing on Paired t-Test (Difference of 2 Means)

5.4 Hypothesis Testing for Two-Sample Means

5.5 Type 1 and Type 2 Errors in Conducting Hypothesis Testing

5.6 Performing Hypothesis Testing On One-Sample Proportion

5.7 Performing Hypothesis Testing For Two-Sample Proportions

5.8 Chi-square Goodness of Fit GOF Test

5.9 Chi-Square Test for Independence and Homogeneity (Two-Way Table)

6.1 Independent vs Dependent Quantitative Variables

6.2 Interpreting Scatterplot and the Correlation Coefficient

6.3 Calculate the Slope and the Y-intercept of the Regression Line

6.4 Calculating Y = a + bx Given the Mean, Standard Deviation and R of the Data

6.5 Linear Transformation of Non-Linear Regression Line

6.6 Performing Linear Transformation in a Non-Linear Regression Line

1.1 Introduction: Solving Limit of a Function

1.2 Different Techniques on Solving Limits

1.3 Evaluating Limit Given the Graph of the Function

2.2 Derivative Rule: Power and Constant Rules

2.3 Practice Exercises on Power and Constant Rules

2.5 Computing for the Tangent Line of a Function at a Given Point

2.8 Practice Exercises on Using Chain Rule

2.9 Differentiating Trigonometric Functions

2.10 Practice Exercises on Using Derivatives of Trig. Functions

2.11 Differentiating the Inverse of Trigonometric Functions

2.12 Derivatives – Exponential Functions (e and constant)

2.13 Derivative ng Logarithmic at Ln Functions

2.14 Practice Exercises on Using Derivative Rule of Logarithmic Functions

3.1 Writing the Tangent Line of a Function at a Point

3.2 Using the Derivative Rules in Differentiating Functions

3.3 Finding the Derivative of a Function Given its Table of Values

3.5 Higher Order Derivative Using Implicit Differentiation

3.6 Solving Related Rates Problems on Circle and Balloons

3.7 Solving Related Rates Problems on Cones and Ladder

3.8 Practice Exercises on Related Rates

3.9 Solving Word Problems on Optimization

3.10 Practice Exercises on Solving Optimization Problems

3.11 Using Derivatives in Solving Problems on Rectilinear Motion

4.1 Computing for Antiderivative of a Function

4.2 Solving Area Under the Curve Using Reimann Sums

4.3 Solving Area Under the Curve Using Reimann Sums with Graphing Calculator

4.4 Applications of Reimann Sums in Approximating Distance Traveled

4.5 Evaluating Definite Integrals

4.6 Properties of Integration and Absolute Value Integration

4.7 Fundamental Theorem of Calculus and Integration Using Substitution Method

4.8 Application of Definite Integral in Solving Problems in Motion

4.9 Solving Area Between Curves

4.10 Solving Area Using Subregions

5.4 First Derivative Test: local extrema and direction of function

5.5 Second Derivative Test: Concavity and Point of Inflection

5.6 Solving Volumes of a Solid Rotated on an Axis: Disk Method

5.7 Solving Volumes of a Solid Rotated on an Axis:WASHER method

5.8 Computing for Volumes using Known Cross-Section

5.9 Integration Using the U-Substitution Method

5.10 Analyzing the graph of f(x) Using the derivative graph: f'(x)