Calculus 2 Chapter 7.7 - 7.8 & 9.1 - 9.3

Question 1

Endpoint Approximation

Answer 1

Check example 4 in 7.7

Question 2

Midpoint Approximation

Answer 2

Check example 5 in 7.7

Question 3

Trapezoid Rule

Answer 3

Check example 6 in 7.7

Question 4

Error bounds for Trapezoid rule and Midpoint rule

Answer 4

Check example 8 in 7.7

Question 5

Applying error bounds for Trapezoid rule and Midpoint rule

Answer 5

Check example 9 in 7.7

Question 6

Simpson’s Rule

Answer 6

Check example 11 and 12 in 7.7

Question 7

Error bound for Simpson’s Rule

Answer 7

Check example 14 in 7.7

Question 8

Improper Integral of Type 1

Answer 8

Check example 3 in 7.8

Question 9

Applying improper integral of type 1

Answer 9

Check example 4 c) in 7.8

Question 10

Applying improper integral of type 1

Answer 10

Check example 4 d) in 7.8

Question 11

Improper Integral of Type 2

Answer 11

Check example 6 in 7.8

Question 12

Applying improper integral of type 2

Answer 12

Check example 7 c) in 7.8

Question 13

Comparison theorem

Answer 13

Check example 8 in 7.8

Question 14

Applying comparison theorem

Answer 14

Check example 9a) and 9b) in 7.8

Question 15

Definition of differential equation

Answer 15

Check example 3 in 9.1

Question 16

Vocabulary of differential equation

Answer 16

Check example 5 a) in 9.1

Question 17

Checking for solution of a nonlinear ordinary differential equation of the first order

Answer 17

Check example 5 b) in 9.1

Question 18

More vocabulary for differential equation

Answer 18

Check example 7 in 9.1

Question 19

Initial Value Problem

Answer 19

Check example 5 c) in 9.1

Question 20

example a) and b) of the initial value problem in 9.1

Answer 20

Example 6B) in 9.1

Question 21

Example 8 in 9.1

Answer 21

Definition #3 in 9.3

Question 22

Example 5a) in 9.3

Answer 22

Example 6 in 9.3

Question 23

Example 7 definition on 9.3

Answer 23

Example 8 on 9.3

Question 24

Example 9 on 9.3

Answer 24

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