(1) For each of the following, parameterize a circle of radius 5 centered at the origin. Simplify your functions where appropriate. (a) Parameterize the circle counter-clockwise, starting and ending at (5, 0). Your parameter t should go between 0 and 27 and go once around the circle. (b) Parameterize the circle clockwise, starting and ending at (-5,0). Your parameter t should go between 0 and 2n and go once around the circle.

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) For each of the following, parameterize a circle of radius 5 centered at the origin. Simplify your
functions where appropriate.
(a) Parameterize the circle counter-clockwise, starting and ending at (5,0). Your parameter t should
go between 0 and 27 and go once around the circle.
(b) Parameterize the circle clockwise, starting and ending at (-5,0). Your parameter t should go
between 0 and 27 and go once around the circle.
(2) Consider the parameterized curve given by
x =t+ Int
y = 2t3 + 3t?
t> 0
(a) Find dy. Simplify your answer.
(b) Find the equation of the tangent line to the curve at t = 1.
(c) Find . Simplify your answer.
1
Transcribed Image Text:(1) For each of the following, parameterize a circle of radius 5 centered at the origin. Simplify your functions where appropriate. (a) Parameterize the circle counter-clockwise, starting and ending at (5,0). Your parameter t should go between 0 and 27 and go once around the circle. (b) Parameterize the circle clockwise, starting and ending at (-5,0). Your parameter t should go between 0 and 27 and go once around the circle. (2) Consider the parameterized curve given by x =t+ Int y = 2t3 + 3t? t> 0 (a) Find dy. Simplify your answer. (b) Find the equation of the tangent line to the curve at t = 1. (c) Find . Simplify your answer. 1
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