Page 105 - How To Solve Word Problems In Calculus

1 3
x = 0 t(0) = +
3 5
14
= h (56 minutes)
15

2
3
+ 1 3
3 −
3 3 4 4
x = t = +
4 4 3 5

9 9 5 9
+ 1
16 4 4 4
= + = +
3 5 3 5
5 9 208
= + =
12 20 240
13
= h (52 minutes)
15
√
10
x = 3 t(3) = ≈ 1.054 h (63.2 minutes)
3
13
The minimum time to go from A to B is h.
15
EXAMPLE 10

What is the largest possible volume a right circular cylinder
can have if it is inscribed in a sphere of radius 5?

Solution
Step1
We examine the figure geometrically from a two-
dimensional perspective.

r
h
2 5
h

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