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katrin [286]
3 years ago
14

The base of a solid in the region bounded by the graphs of y=e^-xy=0, and x=0, and x=1. cross sections of the solid perpendicula

r to the x-axis are semicircles. what is the volume, in cubic units, of the solid?
Mathematics
1 answer:
svlad2 [7]3 years ago
6 0

The diameter of each semicircular cross-section is given by the vertical distance between the curves y=e^{-x} and y=0, which is just e^{-x}.

Given a semicircle with diameter d, its area is \dfrac{\pi d^2}8, so the area of each semicircular section is \dfrac{\pi e^{-2x}}8.

The volume of the solid is obtained by integrating from 0 to 1:

\displaystyle\frac\pi8\int_{x=0}^{x=1}e^{-2x}\,\mathrm dx=\frac{(e^2-1)\pi}{16e^2}

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100/2048=0.048828125%

Step-by-step explanation:

He has a 50% chance of making each free-throw, so 1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2=1/(2^11)=1/2048

to get a percentage you time by 100 to get 100/2048

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Answer:

go from inside out.

h(x)=x/3

(\sqrt{2})^{3}=> h(6) = 6/3 = 2

g(x) = \sqrt{x}

=> g(h(6)) = g(2) = \sqrt{2}

f(x) = x^{3}

=> f(g(h(6))) = f(\sqrt{2} ) = (\sqrt{2} )^{3}

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kirza4 [7]

Answer:

Formula used :

  • <u>x²+2xy+y²</u><u> </u><u>=</u><u> </u><u>(x+y)²</u>
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→{x}^{2}  + 6x +  {y}^{2}  - 8y = 19 \\  ({x}^{2}  + 2.3.x +  {3}^{2} ) +({y}^{2}  - 2.4.y +  {4}^{2} ) = 19 +  {3}^{2}  +  {4}^{2}  \\  {(x + 3)}^{2}  +  {(y - 4)}^{2}  = 19 + 9 + 16 \\  \boxed{ {(x + 3)}^{2}  +  {(y - 4)}^{2}  = 44}✓

  • <u>3) (x+3)²+(y-4)²=44</u> is the right answer.
8 0
2 years ago
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1 slice of veggie pizza and 1 slice of pepperoni pizza. = 2 slices of pizza in total
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3 years ago
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Answer:

<h2>1,920,000,000 Minutes = 32,000,000 Hours</h2>

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1h=60min\to1min=\dfrac{1}{60}h\\\\\text{therefore}\\\\1,920,000,000min=\dfrac{1,920,000,000}{60}\ h=32,000,000h

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