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sveticcg [70]
3 years ago
6

Find all the critical points of h(x) = x^3 − 3x^4 and categorize them as local

Mathematics
1 answer:
neonofarm [45]3 years ago
6 0

Answer:

0 is an inflection point

1/4 is a local maximum.

Step-by-step explanation:

To begin with you find the first derivative of the function and get that

h'(x) = 3x^2 - 12x^3

to find the critical points you equal the first derivative to 0  and get that

3x^2 - 12x^3 = 0, x =  0,1/4

To find if they are maximums or local minimums you use the second derivative.

h''(x) = 6x-36x^2

since h''(0) = 0 is neither an inflection point, and since h''(1/4) = -3/4 then 1/4 is a maximum.

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17662.5 sq. feet

Step-by-step explanation:

We know that the formula for Area of a Circle is A = \pi (r)^2.

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A = 3.14 * 75^2


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I hope this helps!
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3 years ago
Write the word sentence as an equation. Then solve the equation.
Anvisha [2.4K]

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Then you add 4 to each side of the equation to get <em>n </em>by itself. (-15 + 4 = -11)

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maxonik [38]
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