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3 years ago

Please help! ill mark you as brain if your right!!!!

Mathematics

2 answers:

Elodia [21]3 years ago

8 0

Answer:

1099.56 or 1099.6 dependong on what you wanna round to

Step-by-step explanation:

2×pi×5^2+2×pi×5×30

yulyashka [42]3 years ago

6 0

Answer:

SA = 1099 square inches.

Step-by-step explanation:

Just plug into the formula

SA = 2pir^2 + 2pi r h where pi = 3.14, r = 5 and h = 30

SA = 2 (3.14) (5^2) + 2 (3.14)(5)(30)

SA = 157 + 942

SA = 1099 square inches.

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Use the given transformation x=4u, y=3v to evaluate the integral. ∬r4x2 da, where r is the region bounded by the ellipse x216 y2

exis [7]

The Jacobian for this transformation is

$J = \begin{bmatrix} x_u & x_v \\ y_u & y_v \end{bmatrix} = \begin{bmatrix} 4 & 0 \\ 0 & 3 \end{bmatrix}$

with determinant $|J| = 12$ , hence the area element becomes

$dA = dx\,dy = 12 \, du\,dv$

Then the integral becomes

$\displaystyle \iint_{R'} 4x^2 \, dA = 768 \iint_R u^2 \, du \, dv$

where $R'$ is the unit circle,

$\dfrac{x^2}{16} + \dfrac{y^2}9 = \dfrac{(4u^2)}{16} + \dfrac{(3v)^2}9 = u^2 + v^2 = 1$

so that

$\displaystyle 768 \iint_R u^2 \, du \, dv = 768 \int_{-1}^1 \int_{-\sqrt{1-v^2}}^{\sqrt{1-v^2}} u^2 \, du \, dv$

Now you could evaluate the integral as-is, but it's really much easier to do if we convert to polar coordinates.

$\begin{cases} u = r\cos(\theta) \\ v = r\sin(\theta) \\ u^2+v^2 = r^2\\ du\,dv = r\,dr\,d\theta\end{cases}$

Then

$\displaystyle 768 \int_{-1}^1 \int_{-\sqrt{1-v^2}}^{\sqrt{1-v^2}} u^2\,du\,dv = 768 \int_0^{2\pi} \int_0^1 (r\cos(\theta))^2 r\,dr\,d\theta \\\\ ~~~~~~~~~~~~ = 768 \left(\int_0^{2\pi} \cos^2(\theta)\,d\theta\right) \left(\int_0^1 r^3\,dr\right) = \boxed{192\pi}$

3 0

1 year ago

55 and 45 find the the percent decrease round to the nearest whole number

Helen [10]

Answer:

18.18%

Step-by-step explanation:

55-45=10

10/55=0.18

5 0

3 years ago

Compute the perimeter of the figure given below. All angles are right angles.

Mashcka [7]

Answer:44

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the median of the following data set ? {3,4,2,8,5}

Varvara68 [4.7K]

4

Explanation:

3, 4, 2, 8, 5

arrange in ascending order

2, 3, 4, 5, 8

Identify the integer at the middle

median: 4

6 0

2 years ago

-2(x + 2) = -2x ++ 5x -1

earnstyle [38]

Answer:

-⅗ = x

Step-by-step explanation:

Here is what you get when you distribute the -2 on the left side of the equivalence symbol and combine like-terms on the right side of the equivalence symbol:

-2x - 4 = 3x - 1

Here is the solution:

-2x - 4 = 3x - 1

-3x -3x

----------------

-5x - 4 = -1

4 +4

----------------

-5x = 3

----- -----

-5 -5

x = -⅗

I am joyous to assist you anytime.

8 0

3 years ago