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lakkis [162]
3 years ago
5

A curve has the slope 2x+3 at each point (x,y) on the curve. What is an equation for this curve if it passes through the point (

1,2)
Mathematics
1 answer:
yawa3891 [41]3 years ago
5 0
Therefore, f(x) = 2x + 3 is your derivative function, and you need to find the original curve. So find the antiderivative using the given conditions... 

∫f(x) = ∫2x + 3 dx 
F(x) = x^2 + 3x + C 
2 = (1)^2 + 3(1) + C 
2 = 4 + C 
C= -2 

Therefore, the curve is F(x) = x^2 + 3x - 2 

Proof: The derivative is the slope at every (x, y) point. The derivative of F(x) comes out to be 2x + 3, so we have found the curve. Plug in x = 1, and y = 2, so the conditions have been met. 

<span>Hope I helped.</span>
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Answer:

1: 11982.79

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4: 12216.09

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Step-by-step explanation:

The compound interest formula is A=P*(1+r/n)^nt

P=principal amount

r=rate

n=number of compounds per period

t=number of periods

In this situation, the principal amount is 5,000=P. The rate is 6%, so r=0.06. n is equal to the top number in the table. And this is 15 years, so t=15.

For 1, it would be A=5,000*(1+.06/1)^1*15, or A=5,000(1.06^15), or 11982.79.

For 2, it would be 5,000*(1+.06/2)^2*15, or 5,000*(1.03^30), or 12136.31.

And so forth. Good luck

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3 years ago
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Oduvanchick [21]
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7 0
3 years ago
Find f(2) and f(a+h) when f(x)=3x^2+2x+4
wolverine [178]
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Furkat [3]
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kotegsom [21]

Answer:

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Step-by-step explanation:

6 pounds

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7 0
3 years ago
Read 2 more answers
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