10. Can you find a differentiable function f such that f(1) = -2, f(3) = 0, and f'(x) > 1 for all x. Justify your answer.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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#10 from picture please :)
8. Two cars start moving from the same point. One travels south at 60 mi/h and the
other travels west at 25 mi/h. At what rate is the distance between the cars increasing
two hours later? (Be sure to include a diagram and show all work.)
9. The sides of an equilateral triangle are increasing at a rate of 10cm/min. At what
rate is the area of the triangle increasing when the sides are 30 cm long? Show all
work.
10. Can you find a differentiable function f such that f(1) = -2, f(3) = 0, and f'(x) > 1
for all x. Justify your answer.
Transcribed Image Text:8. Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate is the distance between the cars increasing two hours later? (Be sure to include a diagram and show all work.) 9. The sides of an equilateral triangle are increasing at a rate of 10cm/min. At what rate is the area of the triangle increasing when the sides are 30 cm long? Show all work. 10. Can you find a differentiable function f such that f(1) = -2, f(3) = 0, and f'(x) > 1 for all x. Justify your answer.
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