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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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sweet [91]

Answer:

a = 25 , b = 14

Step-by-step explanation:

For A

a/5 + 3 = 8

a/5 = 8 - 3

a/5 = 5

Cross multiply

a = 5 * 5

a = 25

For B

3b/7 - 1 = 5

3b/7 = 5 + 1

3b/7 = 6

Cross multiply

3b = 42

b = 42 / 3

b = 14

Hope it will help

5 0
3 years ago
Using the following image, determine if the triangles are similar. If so, how?
dolphi86 [110]
They are similar and the answer is SSS
5 0
2 years ago
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ExtremeBDS [4]
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3 years ago
Please help on this ill give braneliest
horsena [70]

Answer:

-2.5

Step-by-step explanation:

25/-10 = -2.5

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8 0
2 years ago
Draw or write two ways to use a doubles fact to find 6+7
PtichkaEL [24]
Here are a few doubles facts:

5+5=10
2+2=4
3+3=6

A double is simply a pair of identical numbers added together. There's a pair of doubles you can <em>subtract </em>1 from to get 6+7, and there's a pair you can <em>add</em> 1 to get the same answer. What are those pairs?

Hint: If you take the example 3+4, you can either <em>subtract 1</em> from the double 4+4 or <em>add 1</em> to the double 3+3 to obtain your answer.
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3 years ago
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