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>
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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}\\\\](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%5C%5C%5C%5Ch%27%28x%29%20%3D%20%5Cfrac%7Bf%27%28x%29%2Ag%28x%29-f%28x%29%2Ag%27%28x%29%7D%7B%28g%28x%29%29%5E2%7D%5C%5C%5C%5Ch%27%282%29%20%3D%20%5Cfrac%7Bf%27%282%29%2Ag%282%29-f%282%29%2Ag%27%282%29%7D%7B%28g%282%29%29%5E2%7D%5C%5C%5C%5Ch%27%282%29%20%3D%20%5Cfrac%7B2%2A3-2%2A4%7D%7B%283%29%5E2%7D%5C%5C%5C%5Ch%27%282%29%20%3D%20%5Cfrac%7B6-8%7D%7B9%7D%5C%5C%5C%5Ch%27%282%29%20%3D%20-%5Cfrac%7B2%7D%7B9%7D%5C%5C%5C%5C)
<h3>Answer: -2/9</h3>
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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\\\\](https://tex.z-dn.net/?f=h%28x%29%20%3D%20f%28g%28x%29%29%5C%5C%5C%5Ch%27%28x%29%20%3D%20f%27%28g%28x%29%29%2Ag%27%28x%29%5C%5C%5C%5Ch%27%282%29%20%3D%20f%27%28g%282%29%29%2Ag%27%282%29%5C%5C%5C%5Ch%27%282%29%20%3D%20f%27%283%29%2Ag%27%282%29%5C%5C%5C%5Ch%27%282%29%20%3D%203%2A4%5C%5C%5C%5Ch%27%282%29%20%3D%2012%5C%5C%5C%5C)
<h3>Answer: 12</h3>
When you divide 98 by 5194, you get 0.01886 to be almost exact
Answer:
59
Step-by-step explanation:
ur welcome
A)
2, 4, 6, 8, *10
The fifth row contains 10 cans.
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b)
2+4+6+8+10+12+14+16+18+20=110
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c)
2*Row=Number Of Cans
When Row=1, Number Of Cans=2.
When Row=5, Number Of Cans=10.
When Row=10, Number Of Cans=20.
The area is A. 84 square inches