hannahkharel2
17.03.2020 •
Mathematics
A farmer owns a silo that is shaped like a cylinder with a hemisphere on top. The cylinder part of the silo is 45 ft tall and the height of the hemisphere is 1/3 the height of the silo. The farmer can store cubic feet of grain in the silo. Use 3.14 as pi and round your answer to the nearest whole
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Ответ:
Step-by-step explanation:
I'm going to lay this out in a chart so it's a little easier to see:
F(x) = f(g(x))
x | f (x) | f ' (x) | g (x) | g ' (x)
-2 | 8 | 4 |
5 | | 3 | -2 | 6
Remember the chain rule, which says
(f (g (x))) ' = g ' (x) f ' (g (x))
When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.
Using the chain rule, that's
F ' (5) = g ' (5) f ' (g (5))
We can simplify using the numbers provided.
F ' (5) = (6) f ' (-2)
F ' (5) = (6) (4)
F ' (5) = 24
I hope that helps!