The following a) T x , T y and n ( x , y ) b) Verify and evaluate using polar coordinates: ∬ S 1 d S = ∬ D 1 + x 2 + y 2 d x d y c) Verify the following formula and evaluate: ∬ S z d S = ∫ 0 π / 2 ∫ 0 1 ( sin θ cos θ ) r 3 1 + r 2 d r d θ

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Answer 1

Question

Chapter 17.4, Problem 5E

To determine

The following

a) $T_{x}, T_{y} and n (x, y)$

b) Verify and evaluate using polar coordinates:

$\iint_{S} 1 d S = \iint_{D} \sqrt{1 + x^{2} + y^{2}} d x d y$

c) Verify the following formula and evaluate:

$\iint_{S} z d S = \int_{0}^{π / 2} \int_{0}^{1} (\sin θ \cos θ) r^{3} \sqrt{1 + r^{2}} d r d θ$

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Class, the class silues, and the class notes, whether the series does alternate and the absolute values of the terms decrease), and if the test does apply, determine whether the series converges or diverges. For the ith series, if the test does not apply the let Mi = 2, while if the test determines divergence then M¿ = 4, and if it determines convergence then M¿ = 8. 1: 2: 3 : 4: 5 : ∞ n=1 ∞ (−1)n+1. Σ(-1) +1 n=1 ∞ п 3m² +2 Σ(-1)+1 sin(2n). n=1 ∞ 2n² + 2n +3 4n2 +6 1 e-n + n² 3n23n+1 9n² +3 In(n + 1) 2n+1 Σ(-1) +1 n=1 ∞ Σ(-1)". n=1 Then the value of cos(M₁) + cos(2M2) + cos(3M3) + sin(2M4) + sin(M5) is 1.715 0.902 0.930 -1.647 -0.057 ● 2.013 1.141 4.274

3. FCX14) = x²+3xx-y3 +.

A cylindrical chemical storage tank with a capacity of 950m3 is going to be constructed in a warehouse that is 11m by 14m with a height of 10m. The specifications call for the case to be made of sheet metal that costs $90/m2, the top to be made from sheet metal that costs $45/m2 and the wall to be made of sheet metal that costs $80/m2. If you want to minimize the cost to make the storage house, how much would you end up spending to build the tank?

Answer 2

Question

Chapter 17.4, Problem 5E

To determine

The following

a) $T_{x}, T_{y} and n (x, y)$

b) Verify and evaluate using polar coordinates:

$\iint_{S} 1 d S = \iint_{D} \sqrt{1 + x^{2} + y^{2}} d x d y$

c) Verify the following formula and evaluate:

$\iint_{S} z d S = \int_{0}^{π / 2} \int_{0}^{1} (\sin θ \cos θ) r^{3} \sqrt{1 + r^{2}} d r d θ$

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Answer 3

Question

Chapter 17.4, Problem 5E

To determine

The following

a) $T_{x}, T_{y} and n (x, y)$

b) Verify and evaluate using polar coordinates:

$\iint_{S} 1 d S = \iint_{D} \sqrt{1 + x^{2} + y^{2}} d x d y$

c) Verify the following formula and evaluate:

$\iint_{S} z d S = \int_{0}^{π / 2} \int_{0}^{1} (\sin θ \cos θ) r^{3} \sqrt{1 + r^{2}} d r d θ$

Expert Solution & Answer

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Answer 4

Question

Chapter 17.4, Problem 5E

To determine

The following

a) $T_{x}, T_{y} and n (x, y)$

b) Verify and evaluate using polar coordinates:

$\iint_{S} 1 d S = \iint_{D} \sqrt{1 + x^{2} + y^{2}} d x d y$

c) Verify the following formula and evaluate:

$\iint_{S} z d S = \int_{0}^{π / 2} \int_{0}^{1} (\sin θ \cos θ) r^{3} \sqrt{1 + r^{2}} d r d θ$

Expert Solution & Answer

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Answer 5

Chapter 17.4, Problem 5E

To determine

The following

a) $T_{x}, T_{y} and n (x, y)$

b) Verify and evaluate using polar coordinates:

$\iint_{S} 1 d S = \iint_{D} \sqrt{1 + x^{2} + y^{2}} d x d y$

c) Verify the following formula and evaluate:

$\iint_{S} z d S = \int_{0}^{π / 2} \int_{0}^{1} (\sin θ \cos θ) r^{3} \sqrt{1 + r^{2}} d r d θ$

Answer 6

Chapter 17.4, Problem 5E

To determine

The following

a) $T_{x}, T_{y} and n (x, y)$

b) Verify and evaluate using polar coordinates:

$\iint_{S} 1 d S = \iint_{D} \sqrt{1 + x^{2} + y^{2}} d x d y$

c) Verify the following formula and evaluate:

$\iint_{S} z d S = \int_{0}^{π / 2} \int_{0}^{1} (\sin θ \cos θ) r^{3} \sqrt{1 + r^{2}} d r d θ$

Answer 7

Chapter 17.4, Problem 5E

To determine

The following

a) $T_{x}, T_{y} and n (x, y)$

b) Verify and evaluate using polar coordinates:

$\iint_{S} 1 d S = \iint_{D} \sqrt{1 + x^{2} + y^{2}} d x d y$

c) Verify the following formula and evaluate:

$\iint_{S} z d S = \int_{0}^{π / 2} \int_{0}^{1} (\sin θ \cos θ) r^{3} \sqrt{1 + r^{2}} d r d θ$

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

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Answer 11

Ch. 17.1 - Prob. 1PQ Ch. 17.1 - Prob. 2PQ Ch. 17.1 - Prob. 3PQ Ch. 17.1 - Prob. 4PQ Ch. 17.1 - Prob. 1E Ch. 17.1 - Prob. 2E Ch. 17.1 - Prob. 3E Ch. 17.1 - Prob. 4E Ch. 17.1 - Prob. 5E Ch. 17.1 - Prob. 6E

The following a) T x , T y and n ( x , y ) b) Verify and evaluate using polar coordinates: ∬ S 1 d S = ∬ D 1 + x 2 + y 2 d x d y c) Verify the following formula and evaluate: ∬ S z d S = ∫ 0 π / 2 ∫ 0 1 ( sin θ cos θ ) r 3 1 + r 2 d r d θ

Solution Summary: The author explains how to determine the tangent vectors of x, y, and n.

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Chapter 17 Solutions

The following a) T x , T y and n ( x , y ) b) Verify and evaluate using polar coordinates: ∬ S 1 d S = ∬ D 1 + x 2 + y 2 d x d y c) Verify the following formula and evaluate: ∬ S z d S = ∫ 0 π / 2 ∫ 0 1 ( sin θ cos θ ) r 3 1 + r 2 d r d θ

Solution Summary: The author explains how to determine the tangent vectors of x, y, and n.

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The following a) Tx,Ty and n(x,y) b) Verify and evaluate using polar coordinates: ∬S1 dS=∬D1+x2+y2dx dy c) Verify the following formula and evaluate: ∬Sz dS=∫0π/2∫01(sinθcosθ)r31+r2dr dθ

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Chapter 17 Solutions