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3 years ago

Solve for c: c - 3/4 = 4/8

2 answers:

8 0

C would be equal to 5/4 or 1.25.

This is because 3/4 is equal to 0.75. 4/8 is equal to 0.5. If you add 0.75 to 0.5, you should get an answer of 1.25.

qwelly [4]3 years ago

4 0

Answer: C would be equal to 5/4 or 1.25.

This is because 3/4 is equal to 0.75. 4/8 is equal to 0.5. If you add 0.75 to 0.5, you should get an answer of 1.25.

Step-by-step explanation:

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Using the shell method, the volume is

$\displaystyle 2\pi \int_0^1 (2-x) \cdot 8x^3 \, dx = 16\pi \int_0^1 (2x^3 - x^4) \, dx$

Each cylindrical shell has radius $2-x$ (the horizontal distance from the axis of revolution to the curve $y=8x^3$ ); has height $8x^3$ (the vertical distance between a point on the $x$ -axis in $0\le x\le1$ and the curve $y=8x^3$ ).

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$\displaystyle 16 \pi \int_0^1 (2x^3 - x^4) \, dx = 16\pi \left(\frac{x^4}2 - \frac{x^5}5\right) \bigg|_{x=0}^{x=1} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = 16\pi \left(\frac12 - \frac15\right) \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \frac{24}5\pi = \boxed{4.8\pi}$

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