I don't know how to do any of this

Mathematics

1 answer:

kupik [55]2 years ago

8 0

For the pyramids, use the formula:(length)(length)(base)(1/3)

For the cones, use the formula: (length of circle/2)²(3.14)(height)(1/3)

So just plug in the numbers into these formulas.

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Evaluate the spherical coordinate integral

expeople1 [14]

Rewrite the equations of the given boundary lines:

y = -x + 1 ==> x + y = 1

y = -x + 4 ==> x + y = 4

y = 2x + 2 ==> -2x + y = 2

y = 2x + 5 ==> -2x + y = 5

This tells us the parallelogram in the x-y plane corresponds to the rectangle in the u-v plane with 1 ≤ u ≤ 4 and 2 ≤ v ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

$J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3$

Rewrite the integrand:

$-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3$

The integral is then

$\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}$

5 0

3 years ago

You buy tomatoes in 25-pound cases.

julsineya [31]

For a single 25 pound case you can make 133 servings, As a single pound of tomatoes equals 16 ounces; and 16x25 is 400, and when you divide that be 3 it turns into 133.3333333- and goes on, but you round that down to 133 for your answer.

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3 years ago

A loan company charged 35 percent interest on every dollar borrowed. If a person borrowed 177 dollars, how much would they end u

pav-90 [236]

We know that 35 percent interest is applied on every dollar borrowed.
thus, for 1 dollor borrowed. the interest would be 0.35 dollar.
for 177 dollars, the interest would be 0.35*177.
plus the original 177 dollar, they would end up paying 177+0.35*177=238.95.

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2 years ago

Pleasee anyonnee help me assaaapppp

nekit [7.7K]

30, 34
You add 4 on
44
Because it starts at 10 and 10 cannot be divided by 4

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2 years ago

The area of a trapezoid is 60 square feet the bases of the trapezoid are 8 feet and 12 feet, what is the height?

Vesna [10]

It is 6 feet. I hope this helps a little.

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2 years ago