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Virty [35]
3 years ago
8

For what values of the numbers a and b does the function below have maximum value f(1) = 4? (Round the answers to three decimal

places.). f(x) = axe^[b(x^2)].
Mathematics
1 answer:
Georgia [21]3 years ago
4 0
F (x) = a x  e^{b x^{2} }
f ` (x) = a( e^{b x^{2} } +x e ^{b x^{2} } *2 b x )=a e ^{b x^{2} } (1+2b x^{2} )
f ( 1 ) = 4
f ` ( 1 ) = 0
4 = a e ^{b}  \\ a e ^{b} (1 + 2 b ) = 0 \\ 4 ( 1 + 2 b )= 0

b = -1/2
4=a e ^{-1/2} =  \frac{a}{ \sqrt{e} }  \\ a = 4 \sqrt{e}
Answer:  a = 4√e, b = -1/2

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Łatwy ułamek <br> 36/7-3/5-4/10
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Answer:

4 \frac{1}{7}

Step-by-step explanation:

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5 0
3 years ago
The diameter of a circle is two times its radius. Which equation shows another way to represent the area of a circle?
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3 0
3 years ago
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4 0
2 years ago
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A nature museum has 2008 specimens of early birds, some with 222 wings and some with 444 wings. The specimens have a total of 40
ludmilkaskok [199]

Let's assume

number of birds with 2 wings is x

number of birds with 4 wings is y

A nature museum has 2008 specimens of early birds

so,

x+y=2008

Total of wings of 2 wings bird =2x

Total of wings of 4 wings bird =4y

The specimens have a total of 4384 wings

so, we get

2x+4y=4384

we can divide both sides by 2

x+2y=2192

so, we get system of equations as

x+y=2008

x+2y=2192

we can solve for x and y

We can subtract both equations

2008-y+2y=2192

y=184

x=2008-184

x=1824

y=184,\:x=1824

so,

number of birds with 2 wings is 1824

number of birds with 4 wings is 184.............Answer



5 0
3 years ago
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