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Leno4ka [110]
2 years ago
13

Given f"(x) = 2, f'(1)=4, and f(2)=-2, find f(x).

Mathematics
1 answer:
Anna [14]2 years ago
6 0

Answer:

Step-by-step explanation:

f"(x)=2

integrating

f'(x)=2x+c

f'(1)=2+c=4

c=4-2=2

f'(x)=2x+2

integrating

f(x)=2x^2/2+2x+a

f(x)=x^2+2x+a

f(2)=-2

(2)^2+2(2)+a=-2

4+4+a=-2

a=-2-8=-10

f(x)=x^2+2x-10

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3 years ago
Choose the two rectangular prisms that have a volume of 36cm^3?
oee [108]

Answer:

<em>Correct choices: B, D</em>

Step-by-step explanation:

<u>The Volume of a Rectangular Prism</u>

Given a rectangular prism of dimension W, L, and H, the volume is calculated as:

V = WLH

Each small cube of the figure has a volume of 1 cube centimeter. We need to calculate the volume of each solid and determine which ones have a volume of 36 cube cm.

A: V = 5*3*4 = 60 cube cm

B: V = 3*3*4 = 36 cube cm

C: V = 3*4*2 = 24 cube cm

D: V = 6*2*3 = 36 cube cm

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8 0
2 years ago
The volume of a cylinder is 4 pi x3 cubic units and its height is x units.
Rzqust [24]

Answer:

2x

Step-by-step explanation:

The volume of a cylinder, V is given by the formula,

V=\pi r^{2}h

Where, r is the radius and h is the height of the cylinder.

Here, V=4\pi x^{3}, h=x. Plug in these values and solve for radius, r.

This gives,

V=\pi r^{2}h\\4\pi x^{3}=\pi r^{2}x\\r^{2}=\frac{4\pi x^{3}}{\pi x}\\r^{2}=4x^{2}\\

Taking square root both sides, we get

\sqrt{r^{2}}=\sqrt{4x^{2}}\\r=2x

Therefore, the radius of the cylinder can be expressed as 2x.

6 0
3 years ago
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gulaghasi [49]

Answer:

7/8

Step-by-step explanation:

you find the common denominator which is 2 so you can divide both by two to get 7/8

6 0
3 years ago
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