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AysviL [449]
3 years ago
14

What is FB? Please Explain the steps to find it.

Mathematics
1 answer:
Troyanec [42]3 years ago
8 0
Check the picture below.

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Any help with an explanation would be appreciated!
Lilit [14]

Problem 1

We'll use the product rule to say

h(x) = f(x)*g(x)

h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)

Then plug in x = 2 and use the table to fill in the rest

h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)

h ' (2) = f ' (2)*g(2) + f(2)*g ' (2)

h ' (2) = 2*3 + 2*4

h ' (2) = 6 + 8

h ' (2) = 14

<h3>Answer: 14</h3>

============================================================

Problem 2

Now we'll use the quotient rule

h(x) = \frac{f(x)}{g(x)}\\\\h'(x) = \frac{f'(x)*g(x)-f(x)*g'(x)}{(g(x))^2}\\\\h'(2) = \frac{f'(2)*g(2)-f(2)*g'(2)}{(g(2))^2}\\\\h'(2) = \frac{2*3-2*4}{(3)^2}\\\\h'(2) = \frac{6-8}{9}\\\\h'(2) = -\frac{2}{9}\\\\

<h3>Answer:  -2/9</h3>

============================================================

Problem 3

Use the chain rule

h(x) = f(g(x))\\\\h'(x) = f'(g(x))*g'(x)\\\\h'(2) = f'(g(2))*g'(2)\\\\h'(2) = f'(3)*g'(2)\\\\h'(2) = 3*4\\\\h'(2) = 12\\\\

<h3>Answer:  12</h3>
5 0
3 years ago
What is the area of a regular pentagon with an apothem of 25.1 and a perimeter of 182mm
timurjin [86]
Area = # of sides * side length * apothem / 2
perimeter = 182
one side = 182/5 = 36.4
area = (5 * 36.4 * 25.1) / 2
<span><span><span>area = 2,284.1 </span>


</span> </span>
6 0
3 years ago
Need help!!!!!!<br>How do I do this?
tiny-mole [99]
Rotate 90 degrees clockwise which means to rotate it to the right. so the thing would be in the top right corner.
hope this helped.

6 0
3 years ago
Find the volume of the prism in terms of y.
pogonyaev

is there a value to y? if not, this is what I got:

Y^2 + 2y + 3

7 0
2 years ago
It cost 150 to enter the local beauty contest.
pickupchik [31]

Answer:

30,000

Step-by-step explanation:

6 0
3 years ago
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