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Evaluate the integral by reversing the order of integration.
int_(0)^(sqrt3pi)int_(y)^(sqrt(3pi))cos(3x^(2))dxdy

Evaluate the integral by reversing the order of integration. $\newline$ $\int_{0}^{\sqrt{3} \pi} \int_{y}^{\sqrt{3 \pi}} \cos \left(3 x^{2}\right) d x d y$

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Double integration by reversing the order

Full solution

Q. Evaluate the integral by reversing the order of integration.

\newline

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

Determine Total Amount: First, we need to determine the total amount of electrical tape the electrician needs to buy.
Find Tape on Each Roll: Next, we need to find out how much tape is on each roll.
Calculate Number of Rolls: Now, we divide the total amount of tape needed by the amount of tape on each roll to find out how many rolls the electrician should order. $\newline$ Calculation: $8,000 \, \text{cm} \div 2,000 \, \text{cm/roll} = 4 \, \text{rolls}$

More problems from Double integration by reversing the order

Question

Evaluate the integral by reversing the order of integration.

\newline

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

Posted 11 months ago

Question

Evaluate the integral by reversing the order of integration,

\newline

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

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Question

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

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

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Question

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

(a \sqrt{5}-b)

a

b

are simple fractions.

Posted 1 year ago

Question

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

g(1,2,3)

g(3,2,1)

. do not simplify the exponent.

Posted 11 months ago

Question

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

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

Posted 6 months ago

Question

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

\$500

and her balance at the end of three years,

\$546.36

r

did Jeanne earn interest?

\newline

546.36 = 500(1 + r)

Posted 6 months ago

Question

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

\$ 350

and her balance at the end of three years,

\$ 422.78

. At what rate r did Jeanne earn interest?

\newline

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

Posted 6 months ago

Question

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

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

Posted 6 months ago

Question

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}

\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

\newline

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

x

\newline

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

\newline

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

Posted 6 months ago

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