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3 years ago

Can you please help I don’t understand

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

8 0

-4,-4 ....................

Ludmilka [50]3 years ago

5 0

Answer:

( -4 , -4 )

Step-by-step explanation:

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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

A teacher asked his students to vote for an animal to be their class pet. Five-eighteenths of the students voted for a rabbit, v

KATRIN_1 [288]

Rabbit because they that was going to bed it ita

3 0

4 years ago

HELPPP!!! The dot plots below show rainfall totals in the Highlands and Lowlands areas of a certain region.

MrRissso [65]

Answer:

i think its A tell me if i am wrong

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Tayler has $320 to pay for dining room chairs. She expects to pay about $80 per chair. Her friend told her that she has 33 that

Kryger [21]

320/80 = 4
plus 33 for free equals 37 total chairs.
cc=37

7 0

3 years ago

What expressions are equivalent to 5x + (x+6) + 3x

anyanavicka [17]

Answer:

9x + 6

Step-by-step explanation:

<u>Step 1: Distribute</u>

5x + (x + 6) + 3x

5x + x + 6 + 3x

<u>Step 2: Combine like terms</u>

5x + x + 6 + 3x

9x + 6

Answer: 9x + 6

8 0

3 years ago