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
<h3>Answer: -2/9</h3>
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Problem 3
Use the chain rule
<h3>Answer: 12</h3>
You would need to subtract 37 from 125 to find the answer.
125-37=88
Answer:
1/2 of the possibilities are even number
Step-by-step explanation:
Add all of the sides together, you get 12, count on even numbers until you get to 12. 2,4,6,8,10,12. that's six numbers which is half of 12. so half of the possibilities are even.
You want to find the volume inside the hemisphere 
(i.e. inside the sphere but above the plane 
) and outside the cylinder 
. Call this region 
.
In cylindrical coordinates, we have
(where 
)
Answer:
25.50=3.75h+0.50d
Step-by-step explanation:
