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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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4 0
3 years ago
Principal = $2,400<br> Rate = 4%<br> Time = 30 months
grandymaker [24]

Answer:

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I = prt

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note: I changed 4% to a decimal and 30 months to 2.5 years

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I = 240   <-- The interest

------------------------------------------------------------------------------------------------------------

The simple interest accumulated on a principal of $ 2,400.00  at a rate of 4% per year for 2.5 years (30 months) is $240.00.

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3 0
3 years ago
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8 0
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