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3 years ago

Please answer this. 50 POINTS

Mathematics

2 answers:

Nataliya [291]3 years ago

8 0

Answer:

I say d

Step-by-step explanation:

rosijanka [135]3 years ago

3 0

Answer:

the answer is a

Step-by-step explanation:

the answer is a my good sir

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just olya [345]

Answer:

(x-4)²/16 + (y-8)²/25 = 1

Step-by-step explanation:

center (h,k): ((4+4)/2 , (3+13)/2) = (4 , 8)

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About the $y$ -axis (shell method):

$\displaystyle2\pi\int_2^5x\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5x(5-x)\,\mathrm dx=\boxed{36\pi}$

About $x=7$ (shell method):

$\displaystyle2\pi\int_2^5(7-x)\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5(35-12x+x^2)\,\mathrm dx=\boxed{48\pi}$

About $y=2$ (washer method):

$\displaystyle\pi\int_2^5\left((6-2)^2-\left(\frac43x-\frac23-2\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(5+4x-x^2)\,\mathrm dx=\boxed{32\pi}$

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4 years ago