(a) To find: The value of the given integrals ∫ − 1 2 ( 2 x 3 + 1 ) d x by using the trapezoidal rule.

Question

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Answer 1

Question

Chapter 8.1, Problem 5E

To determine

(a)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the trapezoidal rule.

To determine

(b)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the Simpson’s Rule.

To determine

(c)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the exact value.

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(10 points) Let f(x, y, z) = ze²²+y². Let E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z ≤ 3}. Calculate the integral f(x, y, z) dv. E

(12 points) Let E={(x, y, z)|x²+ y² + z² ≤ 4, x, y, z > 0}. (a) (4 points) Describe the region E using spherical coordinates, that is, find p, 0, and such that (x, y, z) (psin cos 0, psin sin 0, p cos) € E. (b) (8 points) Calculate the integral E xyz dV using spherical coordinates.

(10 points) Let f(x, y, z) = ze²²+y². Let E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z < 3}. Calculate the integral y, f(x, y, z) dV.

Answer 2

Question

Chapter 8.1, Problem 5E

To determine

(a)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the trapezoidal rule.

To determine

(b)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the Simpson’s Rule.

To determine

(c)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the exact value.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 8.1, Problem 5E

To determine

(a)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the trapezoidal rule.

To determine

(b)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the Simpson’s Rule.

To determine

(c)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the exact value.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 8.1, Problem 5E

To determine

(a)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the trapezoidal rule.

To determine

(b)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the Simpson’s Rule.

To determine

(c)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the exact value.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 8.1, Problem 5E

To determine

(a)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the trapezoidal rule.

To determine

(b)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the Simpson’s Rule.

To determine

(c)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the exact value.

Answer 6

Chapter 8.1, Problem 5E

To determine

(a)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the trapezoidal rule.

Answer 7

Chapter 8.1, Problem 5E

To determine

(a)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the trapezoidal rule.

Answer 8

To determine

(b)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the Simpson’s Rule.

Answer 9

To determine

(b)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the Simpson’s Rule.

Answer 10

To determine

(c)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the exact value.

Answer 11

To determine

(c)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the exact value.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 8.1 - YOUR TURN Use the trapezoidal rule with n=4 to...Ch. 8.1 - Prob. 2YT Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E

(a) To find: The value of the given integrals ∫ − 1 2 ( 2 x 3 + 1 ) d x by using the trapezoidal rule.

Solution Summary: The author explains how to find the value of the given integrals by using the trapezoidal rule.

Concept explainers

Videos

(a)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the trapezoidal rule.

(b)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the Simpson’s Rule.

(c)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the exact value.

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Chapter 8 Solutions

(a) To find: The value of the given integrals ∫ − 1 2 ( 2 x 3 + 1 ) d x by using the trapezoidal rule.

Solution Summary: The author explains how to find the value of the given integrals by using the trapezoidal rule.

Concept explainers

Videos

(a) To find: The value of the given integrals ∫−12(2x3+1)dx by using the trapezoidal rule.

(b) To find: The value of the given integrals ∫−12(2x3+1)dx by using the Simpson’s Rule.

(c) To find: The value of the given integrals ∫−12(2x3+1)dx by using the exact value.

Want to see the full answer?

Chapter 8 Solutions

(a)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the trapezoidal rule.

(b)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the Simpson’s Rule.

(c)

To find:

The value of the given integrals ∫−12(2x3+1)dx by using the exact value.