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- 3, x 1 is defined for all x. For what value(s) of the 1 1) The function f(x) = x² + abx 3x + b, constants a and b will f be continuous and differentiable everywhere? x Ci. difforontiable everywhere. f(x) =

- 3, x 1 is defined for all x. For what value(s) of the 1 1) The function f(x) = x² + abx 3x + b, constants a and b will f be continuous and differentiable everywhere? x Ci. difforontiable everywhere. f(x) =

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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Q7 Recall: We say that a function f is continuous and differentiable at x = cif (a) f(c) exists. (b) lim f(x) exists. xICT (c) lim f(x) exists. x-c (d) lim f(x) = lim_ f(x) x+c+ x-c (e) lim f'(x) exists. x→C+ (f) lim f'(x) exists. PIC (g) lim f'(x) = lim_ f'(x) x-c x-C (h) f(c) = lim f(x) x-c [x² + abx - 3, x 3x + b, X constants a and b will f be continuous and differentiable everywhere? 1) The function f(x) = 2) Find the value of a and b such that the function f is differentiable everywhere. f(x) = ax³, x < 2 x²+b, x>2 Show all 1 is defined for all x. For what value(s) of the your work. (use about conditions to find the constant(s).
Transcribed Image Text:Q7 Recall: We say that a function f is continuous and differentiable at x = cif (a) f(c) exists. (b) lim f(x) exists. xICT (c) lim f(x) exists. x-c (d) lim f(x) = lim_ f(x) x+c+ x-c (e) lim f'(x) exists. x→C+ (f) lim f'(x) exists. PIC (g) lim f'(x) = lim_ f'(x) x-c x-C (h) f(c) = lim f(x) x-c [x² + abx - 3, x 3x + b, X constants a and b will f be continuous and differentiable everywhere? 1) The function f(x) = 2) Find the value of a and b such that the function f is differentiable everywhere. f(x) = ax³, x < 2 x²+b, x>2 Show all 1 is defined for all x. For what value(s) of the your work. (use about conditions to find the constant(s).
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