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let $g(u,v,w)=\frac{u e^{v w}+v e^{u w}+w e^{u v}}{u^{2}+v^{2}+w^{2}}$ . calculate: $g(1,2,3)$ , $g(3,2,1)$ . do not simplify the exponent.

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Calculus

Double integration by reversing the order

Full solution

Q. let

g(u,v,w)=\frac{u e^{v w}+v e^{u w}+w e^{u v}}{u^{2}+v^{2}+w^{2}}

. calculate:

g(1,2,3)

g(3,2,1)

. do not simplify the exponent.

Calculate total tape amount: Calculate the total amount of tape needed and the amount per roll to find out how many rolls are needed. $\newline$ $8,000\,\text{cm}$ (total needed) $\div$ $2,000\,\text{cm}$ (per roll) = $4$ rolls.

More problems from Double integration by reversing the order

Question

Evaluate the integral by reversing the order of integration.

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\int_{0}^{\sqrt{3} \pi} \int_{y}^{\sqrt{3 \pi}} \cos \left(3 x^{2}\right) d x d y

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Posted 11 months ago

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Evaluate the integral by reversing the order of integration.

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\int_{0}^{2} \int_{3 y}^{6} 13 e^{x^{2}} d x d y

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Posted 11 months ago

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Evaluate the integral by reversing the order of integration,

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\int_{0}^{2} \int_{3 y}^{6} 13 e^{x^{2}} d x d y

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Set up iterated integrals for both orders of integration. Then evaluate the double integral using the easier order.

\iint_{D} y d A, \quad D

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y=x-20, x=y^{2}

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Express

\frac{3-5 \sqrt{5}}{3+2 \sqrt{5}}

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You pick a card at random, put it back, and then pick another card at random.

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4

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7

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What is the probability of picking a number greater than

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Jeanne's bank account earns interest annually. The equation shows her starting balance of

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and her balance at the end of three years,

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546.36 = 500(1 + r)

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Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

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and her balance at the end of three years,

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422.78=350(1+r)^{3}

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Posted 6 months ago

Question

A leaky

10\text{-kg}

bucket is lifted from the ground to a height of

14\, \text{m}

at a constant speed with a rope that weighs

0.6\, \text{kg/m}

. Initially the bucket contains

42\, \text{kg}

of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14\, \text{m}

level. How much work is done? (Use

9.8\, \text{m/s}^2

for

g

.) Show how to approximate the required work (in

\text{J}

) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_i^*

x_i

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Posted 6 months ago

Question

A leaky

10-\mathrm{kg}

bucket is lifted from the ground to a height of

14

m at a constant speed with a rope that weighs

0.6 \mathrm{~kg} / \mathrm{m}

. Initially the bucket contains

42

kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14-\mathrm{m}

level. How much work is done? (Use

9.8 \mathrm{~m} / \mathrm{s}^{2}

for g .)

\newline

Show how to approximate the required work (in J) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_{i}^{* *}

x_{i}

)

\newline

\lim _{n \rightarrow \infty} \sum_{i=1}^{n}\left(\boxed{98+35.28 x_{i}}\right) \Delta x

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Express the work (in J) as an integral in terms of

x

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\int_{0}^{14}(98+35.28 x

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Evaluate the integral (in J). (Round your answer to the nearest integer.)

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Posted 6 months ago

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let g(u,v,w)=uevw+veuw+weuvu2+v2+w2g(u,v,w)=\frac{u e^{v w}+v e^{u w}+w e^{u v}}{u^{2}+v^{2}+w^{2}}g(u,v,w)=u2+v2+w2uevw+veuw+weuv​. calculate: g(1,2,3)g(1,2,3)g(1,2,3), g(3,2,1)g(3,2,1)g(3,2,1). do not simplify the exponent.

let $g(u,v,w)=\frac{u e^{v w}+v e^{u w}+w e^{u v}}{u^{2}+v^{2}+w^{2}}$ . calculate: $g(1,2,3)$ , $g(3,2,1)$ . do not simplify the exponent.