4. i) Determine the values of a and b for fx) - -2x³ + ax + bx + 6 so that f'(-2) - 0 and f'(7) - 0. ii). For what values of x is f(x) increasing? O a=10 b-74 and f is increasing on the interval (-2,7) a-10 b-74 and f is increasing on the interval (2,7) a-15 b-84 and fis increasing on the interval (-2,7) None of the above

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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4. i) Determine the values of a and b for f(x) --2x³ + ax + bx + 6 so that f'(-2) = 0 and f'(7) - 0.
ii). For what values of x is f(x) increasing?
a-10 b-74 and f is increasing on the interval (-2,7)
a-10 b-74 and f is increasing on the interval (2,7)
a=15 b-84 and f is increasing on the interval (-2.7)
None of the above
Transcribed Image Text:4. i) Determine the values of a and b for f(x) --2x³ + ax + bx + 6 so that f'(-2) = 0 and f'(7) - 0. ii). For what values of x is f(x) increasing? a-10 b-74 and f is increasing on the interval (-2,7) a-10 b-74 and f is increasing on the interval (2,7) a=15 b-84 and f is increasing on the interval (-2.7) None of the above
3. Let f'(x)=(x-10) (x + 2)2(x-1)(x + 7). For what values of x is f(x) increasing?
O-7<x< 1 and x > 10
O-9 <x<-8 and 2 <x< 11
O-12 < x <-3 and x > 8
None of the above
Transcribed Image Text:3. Let f'(x)=(x-10) (x + 2)2(x-1)(x + 7). For what values of x is f(x) increasing? O-7<x< 1 and x > 10 O-9 <x<-8 and 2 <x< 11 O-12 < x <-3 and x > 8 None of the above
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