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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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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)
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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