Given this pair of parametric equations and interval for t, x=t+sint, y=cos(2t), 0 ≤t ≤2 (A) write out the first derivative in simplified form. (B) at what values of t does the graph have a horizontal line? (C) what are the ordered pairs at the horizontal tangent lines?
Given this pair of parametric equations and interval for t, x=t+sint, y=cos(2t), 0 ≤t ≤2 (A) write out the first derivative in simplified form. (B) at what values of t does the graph have a horizontal line? (C) what are the ordered pairs at the horizontal tangent lines?
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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Given this pair of parametric equations and interval for t,
x=t+sint, y=cos(2t), 0 ≤t ≤2
(A) write out the first derivative in simplified form.
(B) at what values of t does the graph have a horizontal line?
(C) what are the ordered pairs at the horizontal tangent lines?
![Given this pair of parametric equations and interval
for t,
X = t + sint , y = cos(2t), 0sts2 t
First, use a graphing app (such as Desmos.com) to
view the graph of this pair of parametric equations.
(Just view the graph; do not try to include it in your
answer.)
Second, answer the following:
a) Use the equation editor to write out the first
derivative in simplified form.
Horizontal Tangent Line
(b) At what values of t does the graph have a
horizontal tangent line?
(c) What are the ordered pairs at these horizontal
tangent lines?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63ef5d0a-6e5b-4d56-a5b7-7dfe22e2abd0%2F38341197-ae6a-4e31-835d-725ca8b44d97%2F8077t4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given this pair of parametric equations and interval
for t,
X = t + sint , y = cos(2t), 0sts2 t
First, use a graphing app (such as Desmos.com) to
view the graph of this pair of parametric equations.
(Just view the graph; do not try to include it in your
answer.)
Second, answer the following:
a) Use the equation editor to write out the first
derivative in simplified form.
Horizontal Tangent Line
(b) At what values of t does the graph have a
horizontal tangent line?
(c) What are the ordered pairs at these horizontal
tangent lines?
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