Which of these is an equation of the tangent line to the curve (+2+ 2t + 3,4t cost, 2 e³t) at the point where t :0? a. (x, y, z) = (3, 0, 2) + t (1, 2, 3) b. (x, y, z) = (3, 4, 2e) + t (2,0, 6e) c. (x, y, z)=(3, 4, 2) + t (1, 2, 3) A. (x, y, z)=(3, 4, 2e) + t (2, 4, 6)

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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Which of these is an equation of the tangent line to the curve
(t² + 2t + 3, 4t cost, 2 e³t)
at the point where t
-
0?
a. (x, y, z) = (3, 0, 2) + t (1, 2, 3)
b.
(x, y, z)=(3, 4, 2e) + t (2,0, 6e)
c. (x, y, z) = (3, 4, 2) + t (1, 2, 3)
A. (x, y, z) =(3, 4, 2e) + t (2, 4, 6)
Transcribed Image Text:Which of these is an equation of the tangent line to the curve (t² + 2t + 3, 4t cost, 2 e³t) at the point where t - 0? a. (x, y, z) = (3, 0, 2) + t (1, 2, 3) b. (x, y, z)=(3, 4, 2e) + t (2,0, 6e) c. (x, y, z) = (3, 4, 2) + t (1, 2, 3) A. (x, y, z) =(3, 4, 2e) + t (2, 4, 6)
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