a.
For what values of the constant m is f(x) continuous at x =0? Explain.
a.
Answer to Problem 54RE
All values of m .
Explanation of Solution
Given information: Let
Calculation:
fis continuous for all values of m because no matter what m is, f(x) will approach 0 from the right. This allows the graph to be continuous because it approaches 0 from the left as well and f(0) = 0.
b.
For what values of the constant m is f(x) differentiable at x =0? Explain.
b.
Answer to Problem 54RE
Explanation of Solution
Given information: Let
Calculation:
For f(x) to be differentiable at x =0 ,it must be continuous at x =0 so substitute b =3 that we found from part (a ).
Chapter 4 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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