(d) Find the points(s) on the curve where there is a vertical tangent line. Find the exact point(s), no decimals.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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I need help with D please. 

Given the the parametric curve
S
x(t) = t³ – 13
y(t) = t³
7t
dy
(a) Find an expression for
dx
dy
7
1
3t2
dx
(b) Find the slope of the tangent line at the point (51, 36).
41
m =
48
(c) Find the value(s) of t where there is a horizontal tangent line. Find the exact value(s) of t, no
decimals.
7
t
3
3
(d) Find the points(s) 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 x(t) = t³ – 13 y(t) = t³ 7t dy (a) Find an expression for dx dy 7 1 3t2 dx (b) Find the slope of the tangent line at the point (51, 36). 41 m = 48 (c) Find the value(s) of t where there is a horizontal tangent line. Find the exact value(s) of t, no decimals. 7 t 3 3 (d) Find the points(s) on the curve where there is a vertical tangent line. Find the exact point(s), no decimals.
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