## Homework-4

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## Homework-4

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- Pages:
- 2
- School:
- Texas A&M University
- Course:
- Math 147 - Calc I Biol Sci

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Homework 4 Math 147 Fall 2017 This homework is due on Thursday September 21 Hint If you do not have a graphing calculator you can use this one online https www desmos com calculator 0 Read Sections 3 2 3 3 3 4 1 For each of the following functions h x determine the domain and where at which points the function is continuous Additionally find functions f x and g x such that h x f g x Recall that f g x f g x 2 3 a h x cos x1 x b h x log3 1 x 2 Section 1 2 18 3 Are there real numbers a and b for which the following function f x is continuous If so then determine a and b and sketch a graph of f x If not then explain why not if x 1 1 f x ax b if 1 x 1 5 if x 1 4 Evaluate the following limits Show your work a lim 3x5 6x x b lim xe x x c lim x 3x3 2x5 1 x2 5 x5 8 2 6x3 2x x lim cos x x 0 x d lim e f lim x 0 cos x x g lim 2x3 cos x x 0 sin x 3 x x 6 h lim 5 Section 3 2 8 28 48 6 Section 3 3 20 28 7 Section 3 4 4 10 12 16 8 These problems are not to be turned in a Section 1 2 16 b Section 3 2 5 7 11 15 20 23 41 45 c Section 3 3 1 3 5 8 13 21 25 29 d Section 3 4 2 5 11 13 15 17 9 These problems are not to be turned in For each function below determine the value s if any of a that make f x continuous a f x a cos x if x if x b f x ex ax if x 0 if x 0

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