Find an equation for the tangent line to the curve given parametrically by y(t) = 4t² + t - 1 2t x(t) = e²t, at the point P(1, −1). 1 3 2 1. y = X 2 2. Y 1 = --x- 2 3. y = x - 4. y = x 5. y = 6. y = 12 32 1 2 1 2 -X- X 1|2 1 2 312 Find the x-intercept of the tangent line at P(4, 1) to the graph of the curve defined parametrically by x(t) = 8 cos 2t, y(t) = 2 sint. x-intercept 1. 2. x-intercept 3. x-intercept 4. x-intercept = = 12 - - -6 -3 -12 1

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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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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Question
Find an equation for the tangent line to the
curve given parametrically by
y(t) = 4t² + t − 1
2t
x(t) = e²t,
at the point P(1, −1).
1 3
2
1. y = X
2₁
2. Y
= --x-
4. y = x
5. y =
1
3. y = x -
6. y =
NIK
1|2
2
3
112
N|W
2
1
2
-X-
X
1
2
x-intercept
1.
2. x-intercept
3. x-intercept
1
2
312
Find the x-intercept of the tangent line
at P(4, 1) to the graph of the curve defined
parametrically by
x(t) = 8 cos 2t, y(t) = 2 sint.
= 12
-6
= -3
4. x-intercept = -12
5. x-intercept
= 3
6. x-intercept
6
=
=
1
is
V
Transcribed Image Text:Find an equation for the tangent line to the curve given parametrically by y(t) = 4t² + t − 1 2t x(t) = e²t, at the point P(1, −1). 1 3 2 1. y = X 2₁ 2. Y = --x- 4. y = x 5. y = 1 3. y = x - 6. y = NIK 1|2 2 3 112 N|W 2 1 2 -X- X 1 2 x-intercept 1. 2. x-intercept 3. x-intercept 1 2 312 Find the x-intercept of the tangent line at P(4, 1) to the graph of the curve defined parametrically by x(t) = 8 cos 2t, y(t) = 2 sint. = 12 -6 = -3 4. x-intercept = -12 5. x-intercept = 3 6. x-intercept 6 = = 1 is V
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