b) Sketch the graph of the cardioids r= 2(1 + cos theta) and circle r= 2 cos Theta . Find the area of the region that lies insid

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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(a) The parametric equation of a curve is given by x= cost, y= sint− cost,
0 ≤ t ≤ 1 . Without eliminating the parameter find, dy/dx and d^2 y/dx^2
At (1,-1).

 

(b) Sketch the graph of the cardioids r= 2(1 + cos theta) and circle r= 2 cos Theta . Find the
area of the region that lies inside both the curves.

3. (a) The parametric equation of a curve is given by x = cost, y
d²y
sint – cost,
dy
0 <t<1. Without eliminating the parameter find, and
аxz at (1,-1).
dx
(b) Sketch the graph of the cardioids r = 2(1+ cos 0) and circle r = 2 cos 0 . Find the
area of the region that lies inside both the curves.
Transcribed Image Text:3. (a) The parametric equation of a curve is given by x = cost, y d²y sint – cost, dy 0 <t<1. Without eliminating the parameter find, and аxz at (1,-1). dx (b) Sketch the graph of the cardioids r = 2(1+ cos 0) and circle r = 2 cos 0 . Find the area of the region that lies inside both the curves.
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