Given the the parametric curve x(t) = t°e5t ly(t) = cos(13t) dy (a) Find an expression for dy (b) Find the slope of the tangent line when t 13 m = (c) Find the value(s) of t on the interval 2 T

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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Given the the parametric curve
S ¤(t) = t®e5t
ly(t)
cos(13t)
dy
(a) Find an expression for
dx
dy
dx
(b) Find the slope of the tangent line when t
13
m =
2
-T <t <
13
2
(c) Find the value(s) of t on the interval –
T where there is a horizontal tangent line.
13
Find the exact value(s) of t, no decimals.
t =
(d) Find the value(s) of t on the curve where there is a vertical tangent line. Find the exact point(s), no
decimals.
Transcribed Image Text:Given the the parametric curve S ¤(t) = t®e5t ly(t) cos(13t) dy (a) Find an expression for dx dy dx (b) Find the slope of the tangent line when t 13 m = 2 -T <t < 13 2 (c) Find the value(s) of t on the interval – T where there is a horizontal tangent line. 13 Find the exact value(s) of t, no decimals. t = (d) Find the value(s) of t on the curve where there is a vertical tangent line. Find the exact point(s), no decimals.
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