1. Consider the function ax² + bx - 3b ax + 15 Find the values of a and b such that this function is if x < 2 if x ≥ 2 differentiable at x = 2. f(x) = Hints: First, you need to get an equation of a and b such that f is continuous at x = 2. Then use the fact that f'(2) exists to get another equation of a and b. At the end, you solve for a and b.
1. Consider the function ax² + bx - 3b ax + 15 Find the values of a and b such that this function is if x < 2 if x ≥ 2 differentiable at x = 2. f(x) = Hints: First, you need to get an equation of a and b such that f is continuous at x = 2. Then use the fact that f'(2) exists to get another equation of a and b. At the end, you solve for a and b.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 7T
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Transcribed Image Text:1. Consider the function
ax² + bx - 3b
ax + 15
Find the values of a and b such that this function is
Hints: First, you need to get an equation of a and b such that f is continuous at x = 2. Then use
the fact that f'(2) exists to get another equation of a and b. At the end, you solve for a and b.
if x < 2
if x ≥ 2
differentiable at x = 2.
f(x)
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