1. Evaluate (sec²x tan²x ). dx

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 41A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN A slot 812.00...
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1. Evaluate (sec²x tan²x ).
2. Find g'(t) if g(t) = sin²(3t² – 1).
3. Given x?y? = x? + y², find
by implicit differentiation.
4. A spherical snowball is being made so that its volume is increasing at the rate of
8 ft /min. Find the rate at which the radius is increasing when the snowball is 4 ft in in
diameter.
Volume of a Sphere,
4
V =ar
5. A sheet of cardboard 3 ft by 4 ft will be made into a box by cutting equal-sized squares
from each corner and folding up the four edges. What will be the dimensions of the box
with largest volume? What is the largest volume of the box being made this way?
Transcribed Image Text:1. Evaluate (sec²x tan²x ). 2. Find g'(t) if g(t) = sin²(3t² – 1). 3. Given x?y? = x? + y², find by implicit differentiation. 4. A spherical snowball is being made so that its volume is increasing at the rate of 8 ft /min. Find the rate at which the radius is increasing when the snowball is 4 ft in in diameter. Volume of a Sphere, 4 V =ar 5. A sheet of cardboard 3 ft by 4 ft will be made into a box by cutting equal-sized squares from each corner and folding up the four edges. What will be the dimensions of the box with largest volume? What is the largest volume of the box being made this way?
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ISBN:
9781337798310
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Peterson, John.
Publisher:
Cengage Learning,