Optimization Worksheet 3.6 With Answers - Calculus Maximus
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10Calculus Maximus
WS 3.6: Optimization
Name_________________________________________ Date________________________ Period______
Worksheet 3.6—Optimization
Show all work. Calculator permitted. Show all set-ups and analysis. Report all answers to 3 decimals and
avoid intermediate rounding error.
Multiple Choice
1. An advertisement is run to stimulate the sale of cars. After t days, 1
t
48
, the number of cars sold is
2
3
given by
t . On what day does the maximum rate of growth sales occur?
N t
( ) 4000 45
t
(A) on day 17
(B) on day 13
(C) on day 15
(D) on day 16
(E) on day 14
2. A canvas wind shelter like the one at right is to be built for use along
parts of the Guadalupe River. It is to have a back, two square
147
sides, and a top. If
square feet of canvas is to be used in the
2
construction, find the depth of the shelter for which the space
inside is maximized assuming all the canvas is used.
7
7
(A) depth
feet
(B) depth
feet
(C) depth 4 feet
(D) depth 7 feet
(E) none of these
2
4
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