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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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
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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