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Nataly [62]
3 years ago
5

I need help asap.

Mathematics
2 answers:
DaniilM [7]3 years ago
5 0
1+10 < or equal to 40
hjlf3 years ago
4 0
1 + 10 < or equal to 40
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If g is a differentiable function such that g(x)&lt;0 for all real numbers x and if f'(x) = (x2 - 4)g(x), which of the following
galina1969 [7]

We want to see what can we say about f(x) extremes for the given information. We will see that the correct option is:

V: f has a relative minimum at x=-2 and a relative maximum at x=2.

<h3>Maximums and minimums.</h3>

A given function f(x) will have a maximum/minimum at x₀ if:

f'(x₀) = 0

  • It will be a maximum if f''(x₀) < 0
  • It will be a minimum if f''(x₀) > 0.

Here we do know that:

  • f'(x) = (x^2 - 4)*g(x)
  • g(x) < 0 for all numbers x.

Then the only zeros of f'(x) are when (x^2 - 4) = 0.

And this happens for x = 2 and x  = -2

Now let's see if these are minimums or maximums, we have:

f''(x) = 2*x*g(x) + (x^2 - 4)*g'(x)

If we evaluate this in x = 2, we get:

f''(2) = 2*2*g(2) + (2^2 - 4)*g'(2)

       = 4*g(2) + 0*g'(2) = 4*g(2)

And g(x) is always negative, then 4*g(2) < 0, then:

f''(2) < 0

Meaning that in x = 2 we have a relative maximum.

For x = -2 we have:

f''(-2) = 2*-2*g(-2) + ((-2)^2 - 4)*g'(-2)

       = -4*g(2) > 0

Then f''(-2) > 0, meaning that in x = -2 we have a relative minimum.

Then the correct option is:

V:  f has a relative minimum at x=-2 and a relative maximum at x=2.

If you want to learn more about maximums and minimums, you can read:

brainly.com/question/1938915

6 0
2 years ago
In the right triangle shown, mZA = 45° and AB = 12. How long is BC?
iragen [17]

Answer:

I think BC is 45°÷2 Or 12÷2

Step-by-step explanation:

so the answer is 15° or 6

6 0
2 years ago
Help me with my homework
EleoNora [17]

Answer:

a because I dont know why but some one told me it was this

3 0
2 years ago
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Janna is measuring the dimensions of her bedroom to determine how much paint she should buy for the walls. If her measuring tape
Otrada [13]

3.8907. y0.01 length wanna

7 0
3 years ago
What is the answer to this question having trouble answering it​
Luda [366]

Answer:

9

Step-by-step explanation:

KL + KJ = 17

2 + 3x + 5x - 1 = 17 add like terms

8x + 1 = 17 subtract 1 from both sides

8x = 16 divide both sides by 8

x = 2

KL = 5x - 1 replace x with 2

5*2 - 1 = 9

4 0
3 years ago
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