3 years ago

PLEASE HELP!

1 answer:

8 0

<span>0.625 is your answer.</span>

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pychu [463]

5-21x-24
Answer=
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19-21x

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3 years ago

agasfer [191]

It is a geometric sequence because it has a ratio 12/4=3, 36/12=3

7 0

3 years ago

schepotkina [342]

$V = 864\pi$

Step-by-step explanation:

Since one of the boundaries is y = 0, we need to find the roots of the function $f(x)=-2x^2+6x+36$ . Using the quadratic equation, we get

$x = \dfrac{-6 \pm \sqrt{36 - (4)(-2)(36)}}{-4}= -3,\:6$

But since the region is also bounded by $x = 0$ , that means that our limits of integration are from $x=0$ (instead of -3) to $x=6$ .

Now let's find the volume using the cylindrical shells method. The volume of rotation of the region is given by

$\displaystyle V = \int f(x)2\pi xdx$

$\:\:\:\:\:\:\:= \displaystyle \int_0^6 (-2x^2+6x+36)(2 \pi x)dx$

$\:\:\:\:\:\:\:= \displaystyle 2\pi \int_0^6 (-2x^3+6x^2+36x)dx$

$\:\:\:\:\:\:\:= \displaystyle 2\pi \left(-\frac{1}{2}x^4+2x^3+18x^2 \right)_0^6$

$\:\:\:\:\:\:\:= 864\pi$

3 0

3 years ago

Mkey [24]

Answer:

Step-by-step explanation:

4 0

3 years ago

Marysya12 [62]

Answer:

1.) 1/2 or 50%

Step-by-step explanation:

Lemme take sum time to do 2, 3, and 4!

6 0

3 years ago