Consider the piecewise defined function Find the values of a and b that make the following function continuous. g(x) कर x² + ax+ { 46 if x ≥ 3 -x²+2a if x < 3 - Use the limit definition of the derivative to determine all possible values of a and b that make g into a differentiable function at x =3. What is the value of b? (You do not need to enter the value of a .) Enter your answer as a decimal. Round to three decimal places (as needed).
Consider the piecewise defined function Find the values of a and b that make the following function continuous. g(x) कर x² + ax+ { 46 if x ≥ 3 -x²+2a if x < 3 - Use the limit definition of the derivative to determine all possible values of a and b that make g into a differentiable function at x =3. What is the value of b? (You do not need to enter the value of a .) Enter your answer as a decimal. Round to three decimal places (as needed).
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Transcribed Image Text:Consider the piecewise defined function Find the values of a
and b that make the following function continuous.
g(x)
x² + ax+
46
{
-x² +2a
if x > 3
if x <3
Use the limit definition of the derivative to determine all
possible values of a and b that make g into a differentiable
function at x =3.
What is the value of b? (You do not need to enter the value of a
.)
Enter your answer as a decimal. Round to three decimal places (as
needed).
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