1. A cylindrical drum is to be made to hold 208 L of oil. Find the dimensions that will minimize the cost of the metal to manufacture the drum.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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1. A cylindrical drum is to be made to hold 208 L of oil. Find the dimensions that will minimize
the cost of the metal to manufacture the drum.
2. The velocity graph of a car accelerating from rest to a speed of 120 km/h over a
period of 30 seconds is shown. Estimate the distance traveled during this period.
Use 6 subintervals with midpoints. Include a sketch showing the approximating
rectangles you used.
D
(km/h)
80
40
0
10
20
30
t
(seconds)
3. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a
pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate
of 1 m/s, how fast is the boat approaching the dock when it is 8 m from the dock?
Transcribed Image Text:1. A cylindrical drum is to be made to hold 208 L of oil. Find the dimensions that will minimize the cost of the metal to manufacture the drum. 2. The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period. Use 6 subintervals with midpoints. Include a sketch showing the approximating rectangles you used. D (km/h) 80 40 0 10 20 30 t (seconds) 3. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 8 m from the dock?
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