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3 years ago

What the answer for this???

Mathematics

1 answer:

alexandr1967 [171]3 years ago

6 0

Answer:

Send the question please. You can send in the comments or in a separate question.

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Please Help NO LINKS

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

Determine the number of terms in each algebraic expression (6a+9)-7b

Vesnalui [34]

Answer:

Step-by-step explanation:

(6a+9)-7b

There are 3 terms

3 0

3 years ago

Read 2 more answers

HELP ME! I'm confused if to whether I should choose a or b

faltersainse [42]

<span>' B ' says that he starts with $50,000 and then loses $100 for each computer he sells.

If he sold 500 computers with that equation, his total income would be zero.

The only way he could earn $75,000 from that equation would be to sell
(negative 250) computers. That would be quite a trick, so it's most likely not 'B'.</span>

3 0

3 years ago

Can y’all help me please

likoan [24]

Answer:

y = -4x + 60

Step-by-step explanation:

(0, 60) and (4,44)

Slope:

m=(y2-y1)/(x2-x1)

m=(44 - 60)/(4-0)

m= (-16)/4

m= -4

Slope-intercept:

y - y1 = m(x - x1)

y - 60 = -4(x - 0)

y - 60 = -4x

y = -4x + 60

8 0

3 years ago

Read 2 more answers

Jacks mother gave him 50 chocolates to give to his friends for his birthday party. He gave 3 chocolates to each of his friends a

labwork [276]

Answer:

$3x+2=50$

There are 16 friends at Jack's party.

Step-by-step explanation:

Please consider the complete question.

Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left. Write an equation to determine the number of friends (x) at Jack's party. Find the number of friends at Jack's party.

Since there are x friends at party, so chocolate given to x friends would be 3 times x $(3x)$ because Jack gave 3 chocolates to each friend.