3 years ago

Please graph y=−1/2. thank you!

Mathematics

1 answer:

Dominik [7]3 years ago

4 0

Answer:

There would be a straight line at -0.5 on the graph.

Step-by-step explanation:

Hope this helps

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Whats 15-b=4b-5(5-3)

Gala2k [10]

15-b=4b-5(5-3)

Multiply the bracket by -5

(-5)(5)=-25

(-5)(-3)=15

15-b=4b-25+15

15-b=4b-10

Move 15 to the other side

Sign changes from +15 to -15

15-15-b=4b-10-15

-b=4b-25

Move 4b to the other side.

-b-4b=4b-4b-25

-b-4b=-25

-5b=-25

divide both sides by -5

-5b/-5=-25/-5

Answer: b=5

5 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

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