Exercises

Calculus Metric Version Book Exercises Page Numbers:

• 2.2 The Limit of a Function Pages#92-94

• 2.3 Calculating Limits Using the Limit Laws Pages#102-104

• 2.5 Continuity Pages#124-126

• 2.6 Limits at Infinity & Horizontal Asymptotes Pages#137-140

Similar Questions with Solutions:

• 2.2 The Limit of a Function

• 2.3 Calculating Limits Using the Limit Laws

• 2.5 Continuity

• 2.6 Limits at Infinity & Horizontal Asymptotes

• Paul's Online Notes: Practice Problems Assignment Problems

• Limits and Differentiation

• IXL: only section E to J

• Limits and Derivatives Examples with Solutions

Calculus Metric Version Book Exercises Page Numbers:

• 3,1 Derivatives of Polynomials and Exponential Functions Pages#180-182

• 3.2 The Product and Quotient Rules Pages#188-190

• Derivatives of Trigonometric Functions Pages#196-197

• The Chain Rule Pages#204-207

• Derivatives of Logarithmic Functions Page#223

Similar Questions with Solutions:

• Basic Differentiation Formulas

• 3.1 Derivatives of Polynomials and Exponential Functions

• 3.2 The Product and Quotient Rules

• 3.3 Derivatives of Trigonometric Functions

• 3.4 The Chain Rule

• 3.6 Derivatives of Logarithmic Functions

• Paul's Online Notes: Derivatives Practice Problems Assignment Problems

• IXL: only section K to N

• Differentiation Rules Examples with Solutions

• Rules For Differentiation Principles and Practice

Calculus Metric Version Book Exercises Page Numbers:

• 4.1 Maximum and Minimum Values Pages#283-285

• 4.2 The Mean Value Theorem Pages#291-292

• 4.3 How Derivatives Affects the Shape of a Graph Pages#300-304

• 4.4 Indeterminate Forms and L'Hospital's Rule Pages#311-314

• 4.5 Summary of Curve Sketching Pages#321-322

• 4.1 Maximum and Minimum Values
• 4.2 The Mean Value Theorem
• 4.3 How Derivatives Affect the Shape of a Graph
• 4.4 Indeterminate Forms and l’Hospital’s Rule
• 4.5 Summary of Curve Sketching

Paul's Online Notes: Applications Of Derivatives Practice Problems Assignment Problems

Khan Academy: Applying derivatives to analyze functions

*includes practice for mean value theorem, Finding critical points, minima & maxima...etc.

Calculus Metric Version Book Exercises Page Numbers:

• 5.1 Areas Pages#375-378

• 5.2 The Definite Integral Pages#388-391

• 5.3 The Fundamental Theorem of Calculus Pages#399-402

• 5.4 Indefinite Integrals ans the Net Change Theorem Pages#408-411

• 5.5 The Substitution Rule Pages#4

Similar Questions with Solutions:

• 5.1 Areas

• 5.2 The Definite Integral

• 5.3 The Fundamental Theorem of Calculus

• 5.4 Indefinite Integrals and the Net Change Theorem

• 5.5 The Substitution Rule

• Paul's Online Notes: Integrals Practice Problems Assignment Problems

• Khan Academy: Integrals Practice

Calculus Metric Version Book Exercises Page Numbers:

• 6.1 Areas Between Curves Pages#434-436

• 6.2 Volumes Pages#446-449

Similar Questions with Solutions:

• 6.1 More About Areas

• 6.2 Volumes

• Paul's Online Notes: Applications Of Integrals Practice Problems Assignment Problems

• Applications of Integration: Area and Volume

• Khan Academy: Applications Of Integrals Practice

*includes practice for Area: vertical area between curves, horizontal area between curves, and curves that intersect at more than two points.

*Practice for Volume: squares and rectangles cross sections, triangles and semicircles cross sections, disc method (revolving around x- and y-axes), disc method (revolving around other axes), washer method (revolving around x- and y-axes), and washer method (revolving around other axes).

Calculus Metric Version Book Exercises Page Numbers:

• 11.1 Sequences Pages#704-706

• 11.2 Series Pages#715-719

• The Integral Test Pages#725-727

• The Comparison Test Pages#731-732

Similar Questions with Solutions:

• 11.1 Sequences

• 11.2 Series

• 11.3 The Integral Test

• 11.4 The Comparison Test

• Paul's Online Notes: Practice Problems Assignment Problems

• Khan Academy: Series Practice

• Khan Academy: Sequence convergence/divergence

• IXL: only section W.17: Convergent and divergent geometric series