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Nostrana [21]
3 years ago
15

Please help 1. f(x)=3(2)^x 2. f(x)=2(3)^x 3. f(x)=3(1/2)^x 4. f(x)=2(1/3)^x

Mathematics
1 answer:
stellarik [79]3 years ago
8 0

Answer:

C. f(x)=3(1/2)^x

Step-by-step explanation:

standard form of a function is f(x)=ab^x

a should be 3, or the y value where the x value is 0

the b value is 1/2 because that's the rate of change

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Answer:

Therefore the population will be maximum when x=30 inches.

Step-by-step explanation:

Given that, the mosquito population is a function of rainfall and can be approximated by the formula

N(x)= -x^3+45x^2+1000

where x is the number of inches of rainfall.

N(x)= -x^3+45x^2+1000

Differentiating with respect to x

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Again differentiating with respect to x

N''(x)=-6x+90

Now we set N'(x)=0

-3x^2+90x=0

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Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.

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2 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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