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matrenka [14]
3 years ago
9

Solve for a!!! please help. i'll give brainiest

Mathematics
1 answer:
Cloud [144]3 years ago
4 0

Answer:

its 20 bcz 70 50 is 20

Step-by-step explanation:

u should minus when u r asked the iner one and add when asked outer one

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Evaluate the spherical coordinate integral
expeople1 [14]

Rewrite the equations of the given boundary lines:

<em>y</em> = -<em>x</em> + 1  ==>  <em>x</em> + <em>y</em> = 1

<em>y</em> = -<em>x</em> + 4  ==>  <em>x</em> + <em>y</em> = 4

<em>y</em> = 2<em>x</em> + 2  ==>  -2<em>x</em> + <em>y</em> = 2

<em>y</em> = 2<em>x</em> + 5  ==>  -2<em>x</em> + <em>y</em> = 5

This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 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
How to graph 5x+3y=15​
maxonik [38]

Answer:

Step-by-step explanation:

The number 2 goes into both 12 and 14.

Step-by-step explanation:

12 ÷ 2 is 6 and 14 ÷2 is 7 . You can't really simplify 14 by any other whole number besides 2 or 7 .

6 0
3 years ago
Graph this compound inequality 2.5 is equal to or less than x is equal to or less than 4.5
Oxana [17]

Graph this compound inequality 2.5 is equal to or less than x is equal to or less than 4.5

2.5 <= x < = 4.5

We graph this inequality using number line.

Here x lies between 2.5  and 4.5

While graphing, we start with closed circle at 2.5 because we have equal symbol .

Then shade till 4.5. Use closed circle at 4.5.

The graph is attached below.


5 0
3 years ago
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what’s the total area of a converter box buildings of 4 feet, width of 3 feet,and a height of 6 feet?
Katena32 [7]
The total will be 72
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Develop a probability model <br> for the spinner shown.​
Tatiana [17]

Answer:

Step-by-step explanation:

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