(a) The region bounded by the planes y = z , 2 y + z = 3 and z = 0 , for 0 ≤ x ≤ 4 (a) Express the triple integral ∭ W f ( x , y , z ) d v as integral in the order d y d x d z (Project W onto x z plane )

Question

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Answer 1

Question

Chapter 16, Problem 16CRE

To determine

(a)

The region bounded by the planes $y = z, 2 y + z = 3 and z = 0, for 0 \leq x \leq 4$

(a) Express the triple integral $\underset{W}{∭} f (x, y, z) d v$ as integral in the order $d y d x d z$

(Project $W$ onto $x z plane$ )

To determine

(b)

Evaluate the triple integral for $f (x, y, z) = 1$

To determine

(c)

Compute the value of w using geometry and check that the result coincides with the answer $(b)$

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 2

Question

Chapter 16, Problem 16CRE

To determine

(a)

The region bounded by the planes $y = z, 2 y + z = 3 and z = 0, for 0 \leq x \leq 4$

(a) Express the triple integral $\underset{W}{∭} f (x, y, z) d v$ as integral in the order $d y d x d z$

(Project $W$ onto $x z plane$ )

To determine

(b)

Evaluate the triple integral for $f (x, y, z) = 1$

To determine

(c)

Compute the value of w using geometry and check that the result coincides with the answer $(b)$

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 16, Problem 16CRE

To determine

(a)

The region bounded by the planes $y = z, 2 y + z = 3 and z = 0, for 0 \leq x \leq 4$

(a) Express the triple integral $\underset{W}{∭} f (x, y, z) d v$ as integral in the order $d y d x d z$

(Project $W$ onto $x z plane$ )

To determine

(b)

Evaluate the triple integral for $f (x, y, z) = 1$

To determine

(c)

Compute the value of w using geometry and check that the result coincides with the answer $(b)$

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 16, Problem 16CRE

To determine

(a)

The region bounded by the planes $y = z, 2 y + z = 3 and z = 0, for 0 \leq x \leq 4$

(a) Express the triple integral $\underset{W}{∭} f (x, y, z) d v$ as integral in the order $d y d x d z$

(Project $W$ onto $x z plane$ )

To determine

(b)

Evaluate the triple integral for $f (x, y, z) = 1$

To determine

(c)

Compute the value of w using geometry and check that the result coincides with the answer $(b)$

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 16, Problem 16CRE

To determine

(a)

The region bounded by the planes $y = z, 2 y + z = 3 and z = 0, for 0 \leq x \leq 4$

(a) Express the triple integral $\underset{W}{∭} f (x, y, z) d v$ as integral in the order $d y d x d z$

(Project $W$ onto $x z plane$ )

To determine

(b)

Evaluate the triple integral for $f (x, y, z) = 1$

To determine

(c)

Compute the value of w using geometry and check that the result coincides with the answer $(b)$

Answer 6

Chapter 16, Problem 16CRE

To determine

(a)

The region bounded by the planes $y = z, 2 y + z = 3 and z = 0, for 0 \leq x \leq 4$

(a) Express the triple integral $\underset{W}{∭} f (x, y, z) d v$ as integral in the order $d y d x d z$

(Project $W$ onto $x z plane$ )

Answer 7

Chapter 16, Problem 16CRE

To determine

(a)

The region bounded by the planes $y = z, 2 y + z = 3 and z = 0, for 0 \leq x \leq 4$

(a) Express the triple integral $\underset{W}{∭} f (x, y, z) d v$ as integral in the order $d y d x d z$

(Project $W$ onto $x z plane$ )

Answer 8

To determine

(b)

Evaluate the triple integral for $f (x, y, z) = 1$

Answer 9

To determine

(b)

Evaluate the triple integral for $f (x, y, z) = 1$

Answer 10

To determine

(c)

Compute the value of w using geometry and check that the result coincides with the answer $(b)$

Answer 11

To determine

(c)

Compute the value of w using geometry and check that the result coincides with the answer $(b)$

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 16.1 - Prob. 1PQ Ch. 16.1 - Prob. 2PQ Ch. 16.1 - Prob. 3PQ Ch. 16.1 - Prob. 4PQ Ch. 16.1 - Prob. 5PQ Ch. 16.1 - Prob. 6PQ Ch. 16.1 - Prob. 1E Ch. 16.1 - Prob. 2E Ch. 16.1 - Prob. 3E Ch. 16.1 - Prob. 4E

(a) The region bounded by the planes y = z , 2 y + z = 3 and z = 0 , for 0 ≤ x ≤ 4 (a) Express the triple integral ∭ W f ( x , y , z ) d v as integral in the order d y d x d z (Project W onto x z plane )

Solution Summary: The author explains how to determine the region bounded by the planes z, 2 y + 2 = 3 and 0.

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(a)

The region bounded by the planes $y = z, 2 y + z = 3 and z = 0, for 0 \leq x \leq 4$

(a) Express the triple integral $\underset{W}{∭} f (x, y, z) d v$ as integral in the order $d y d x d z$

(Project $W$ onto $x z plane$ )

(b)

Evaluate the triple integral for $f (x, y, z) = 1$

(c)

Compute the value of w using geometry and check that the result coincides with the answer $(b)$

Want to see the full answer?

Chapter 16 Solutions

(a) The region bounded by the planes y = z , 2 y + z = 3 and z = 0 , for 0 ≤ x ≤ 4 (a) Express the triple integral ∭ W f ( x , y , z ) d v as integral in the order d y d x d z (Project W onto x z plane )

Solution Summary: The author explains how to determine the region bounded by the planes z, 2 y + 2 = 3 and 0.

Videos