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3 years ago

Dave is moving to a new house

Mathematics

1 answer:

aev [14]3 years ago

3 0

The answer is 3.4, you need to subtract 1.6 from 5.

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Use spherical coordinates. evaluate (x2 + y2) dv e , where e lies between the spheres x2 + y2 + z2 = 1 and x2 + y2 + z2 = 25.

Snowcat [4.5K]

$\begin{cases}x(\rho,\theta,\varphi)=\rho\cos\theta\sin\varphi\\y(\rho,\theta,\varphi)=\rho\sin\theta\sin\varphi\\z(\rho,\theta,\varphi)=\rho\cos\varphi\end{cases}\implies\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

$x^2+y^2=\rho^2\cos^2\theta\sin^2\varphi+\rho^2\sin^2\theta\sin^2\varphi=\rho^2\sin^2\varphi$

$\displaystyle\iiint_E(x^2+y^2)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=1}^{\rho=5}\rho^4\sin^3\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$
$=\displaystyle2\pi\left(\int_{\varphi=0}^{\varphi=\pi}\sin^3\varphi\,\mathrm d\varphi\right)\left(\int_{\rho=1}^{\rho=5}\rho^4\,\mathrm d\rho\right)$
$=\dfrac{24992\pi}{15}$

7 0

3 years ago

CORRECT ANSWER GETS BRAINLIEST

borishaifa [10]

6 (-9)-3/2=14
-108/2-3/2=14
-111/2 = 14
false

12+2=14
14=14

B

7 0

4 years ago

clare wants to make an open-top box by cutting out corners of a 30 inch by 25 inch piece of poster board and then folding up the

OverLord2011 [107]

Answer:

A. V(x)= (50-2x) ( 35-2x)x

Step-by-step explanation:

4 0

3 years ago

PLEASE HELP ITS EXTRA CREDIT AND I COULD REALLY USE IT !! BEING TIMED! for each of the following statements, determine if the st

bogdanovich [222]

A. True. We see this by taking the highest order term in each factor:

$f(x) = -3x(x-5)^3(x+2)^2 = -3x (x^3 + \cdots) (x^2 + \cdots) = -3x^{\boxed{6}} + \cdots$

B. True. Again we look at the leading term's degree and coefficient. f(x) behaves like -3x⁶ when x gets large. The degree is even, so as x goes to either ± ∞, x⁶ will make it positive, but multiplying by -3 will make it negative. So on both sides f(x) approaches -∞.

C. False. f(x) = 0 only for x=0, x = 5, and x = -2.

D. False. Part of this we know from the end behavior discussed in part B. On any closed interval, every polynomial is bounded, so that for any x in [-2, 5], f(x) cannot attain every positive real number.

E. True. x = 0 is a root, so f(0) = 0 and the graph of f(x) passes through (0, 0).

F. False. (0, 2) corresponds to x = 0 and f(x) = 2. But f(0) = 0 ≠ 2.

8 0

2 years ago

What’s 32% of ____=8

Zanzabum

Answer:

Step-by-step explanation:

32% = 32/100 = 0.32

Let the unknown number be x.

0.32 x = 8

x = 25

6 0

4 years ago