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3 years ago

How do i plug this in?

Mathematics

1 answer:

Temka [501]3 years ago

4 0

Just jump the gun and multiply -7 and the value of d

-2[7x^2-24]-31

I got

-14x^2+17

as the total answer btw...

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Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.

rewona [7]

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed as:

$y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}$

Thus, the area of the surface is as follows:

$\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA$

$= \iint_D \sqrt{x^2 +y^2 +1 } \ dA$

$= \int^{2 \pi}_{0} \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr \ d \theta$

$=2 \pi \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr$

$= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0$

$= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg]$

$= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ]$

3 0

3 years ago

Evaluate. 4-6 | 3-5 | /3

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

4-6 is -2 and |3-5| is -2 but the |-2| makes it 2 so -2+2=0 so 0/3=0

8 0

3 years ago

Convert 84 degrees fahrenheit to celsius. round answer to nearest tenth<br><br> please help!!!

vladimir1956 [14]

Answer:

28.9°c

Step-by-step explanation:

5 0

3 years ago

Where does the graph of y=-3x-18 intersect with the x axi

fiasKO [112]

Intersect with x axis indicates that x value would be Zero

Thus when x = 0

y would be
y = -18

Therefor intersection would be at (0,-18)

8 0

3 years ago

What is the complete factorization of x^2+4x-45

siniylev [52]

The answer is C

(9)(5)=-45
9+(-5) = 4

3 0

3 years ago