Given f(x)= x - 4x³ +10. a) b) d) Find the intervals of increase and decrease. Find the local maximum and minimum values. Find the intervals of concavity and the inflection points. Sketch the graph.

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.
2.
Given f(x)= x - 4x³ +10.
a)
b)
c)
d)
Find the intervals of increase and decrease.
Find the local maximum and minimum values.
Find the intervals of concavity and the inflection points.
Sketch the graph.
A rectangular lot is to be bounded by a fence on three sides and by a wall on the
fourth side. Two kinds of fencing will be used with heavy duty fencing selling for
RM4 per meter on the side opposite the wall. The two remaining sides will use
standard fencing selling for RM3 per meter. What are the dimensions of
rectangular lot of greatest area that can be fenced in a cost of RM6600.
Transcribed Image Text:1. 2. Given f(x)= x - 4x³ +10. a) b) c) d) Find the intervals of increase and decrease. Find the local maximum and minimum values. Find the intervals of concavity and the inflection points. Sketch the graph. A rectangular lot is to be bounded by a fence on three sides and by a wall on the fourth side. Two kinds of fencing will be used with heavy duty fencing selling for RM4 per meter on the side opposite the wall. The two remaining sides will use standard fencing selling for RM3 per meter. What are the dimensions of rectangular lot of greatest area that can be fenced in a cost of RM6600.
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