3 years ago

Pls help me!!!!!!!!!!!!!

Mathematics

1 answer:

solmaris [256]3 years ago

7 0

The answer is the third option

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the end of the road is 15/16 of a mile away. Luke walked 7/8 of a mile down the road. How much further did he need to walk

AURORKA [14]

Answer:

1/16 of a mile left to walk to reach the end of the road

Step-by-step explanation:

The total distance to be walked = 15/16 miles

already walked= 7/8 miles = 14/16 miles

15/16 - 14/16 = 1/16 miles

4 0

2 years ago

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given

Fed [463]

See attachment for one such shell. The volume is given by the sum of infinitely many thin shells like this, each with radius $x$ and height determined by the vertical distance between the upper blue curve and the lower orange curve for any given $x$ , i.e. $8e^x-8e^{-x}$ .

The volume is then

$2\pi\displaystyle\int_0^1x\left(8e^x-8e^{-x}\right)\,\mathrm dx=16\pi\int xe^x(e^{2x}-1)\,\mathrm dx=\dfrac{32\pi}9(e^3-4)\approx179.677$