2 years ago

Look at the image. thanks :)

Mathematics

2 answers:

deff fn [24]2 years ago

8 0

Hopes this helps:

Answer: x = 8, y = 4

Have a great day

gregori [183]2 years ago

3 0

Answer:

B. (8, 4)

Step-by-step explanation:

Hope this helps!

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

amm1812

Answer:

The solution of this system of equations is (3 , -8)

Step-by-step explanation:

The given system is

x + 2y = -13

12x + 5y = -4

We make x the subject of the first equation and put it into the second:

$x = - 13 - 2y$

We put this expression for x into the second equation

12(-13-2y)+5y=-4

-156-24y+5y=-4

-24y+5y=-4+156

-19y=152

y=-8

We substitute y=-8 into x=-13-2y to get:

$x = - 13 - 2( - 8) = 3$

The solution of this system of equations is (3 , -8)

3 0

3 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

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