A particle moves in the xy-plane such that its position for time t≥0 is given by x(t) = 4t² - 14t and y(t)=e10-2. What is the slope of the tangent to the path of the particle when t=6? Select one: a. -5e58 142 b. 142 5e58 C. ○ d. 5e58 17 10e58 17
A particle moves in the xy-plane such that its position for time t≥0 is given by x(t) = 4t² - 14t and y(t)=e10-2. What is the slope of the tangent to the path of the particle when t=6? Select one: a. -5e58 142 b. 142 5e58 C. ○ d. 5e58 17 10e58 17
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Question
![A particle moves in the xy-plane such that its position for time t≥0 is given by x(t) = 4t² - 14t and
y(t)=e10-2. What is the slope of the tangent to the path of the particle when t=6?
Select one:
a.
-5e 58
142
b.
142
5e58
C.
○ d.
5e58
17
10e58
17](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf9dafc6-bac8-41ec-a856-62d58445bc24%2F68a6c79a-3082-4070-b536-d81a64834354%2Fjs6966v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A particle moves in the xy-plane such that its position for time t≥0 is given by x(t) = 4t² - 14t and
y(t)=e10-2. What is the slope of the tangent to the path of the particle when t=6?
Select one:
a.
-5e 58
142
b.
142
5e58
C.
○ d.
5e58
17
10e58
17
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