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zzz [600]
3 years ago
14

Find a formula for a function of the form y=bxe^−ax with local maximum at (1,2.2073). y=________

Mathematics
1 answer:
Mumz [18]3 years ago
5 0
From the given values

2.2073 = b*1*e^-a

and y' = be^-a(-a + 1) = 0   giving a = 1

from first equation  2.2073 = b * e^-1 so b = 2.2073e =  6

so our formula is  y = 6x e^-x
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Let f(x)= x^2-4x-c. Find a nonzero value of c such that f(c)=c.​
Dimas [21]

Answer:

The nonzero value of c will be:

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Step-by-step explanation:

Given the function

f\left(x\right)=\:x^2-4x-c

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f(c) = c

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switching the sides

c^2-4c-c=c

subtract c from both sides

c^2-4c-c-c=c-c

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Using the zero factor principle

\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

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