4. Given the function f(r) = 3 - 6.r+2, discuss its relative maximum and minimum points, the intervals 2. where it is increasing and decreasing, the intervals of concavity, and the points of inflection. Construct a sketch of the graph of the function.

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. Suppose y is a function of r. Find y' given cot-y+
tan-y.
2022
2. Evaluate lim,++ (1+
t
y"
csc? a
3. Let y = cot r + (cot ) In(sin a) and y" . Show that
-3 cot r+ 2y.
%3D
da?
4. Given the function f(r):
where it is increasing and decreasing, the intervals of concavity, and the points of inflection. Construct a
- 6.r+2, discuss its relative maximum and minimum points, the intervals
%3D
3
2.
sketch of the graph of the function.
Transcribed Image Text:1. Suppose y is a function of r. Find y' given cot-y+ tan-y. 2022 2. Evaluate lim,++ (1+ t y" csc? a 3. Let y = cot r + (cot ) In(sin a) and y" . Show that -3 cot r+ 2y. %3D da? 4. Given the function f(r): where it is increasing and decreasing, the intervals of concavity, and the points of inflection. Construct a - 6.r+2, discuss its relative maximum and minimum points, the intervals %3D 3 2. sketch of the graph of the function.
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