Given the the parametric curve S x(t) = est – 2t l y(t) - 8t sin t dy (a) Find an expression for dx dy 4(t cos (t) + sin(t)) dæ 1- 4est (b) Find the slope of the tangent line at the point (el6r – 47, 0). Find the exact value, no decimals. 16л X syntax incomplete. m 1- 4el6xt (c) Find the equation of any horizontal tangent line(s) for

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
icon
Related questions
Question

I need help with B and D please 

Given the the parametric curve
Sx(t)
ly(t)
e8t – 2t
8t sin t
dy
(a) Find an expression for
dx
dy
4(t cos (t) + sin(t)
dx
1– 4est
(b) Find the slope of the tangent line at the point (e16 – 47, 0). Find the exact value, no decimals.
-
87
X syntax incomplete.
1- 4e16at
(c) Find the equation of any horizontal tangent line(s) for
<t <
Use cartesian coordinates and
2
be sure to enter an equation.
y = 0
(d) Find the value(s) of t for
<t <
2
where there is a vertical tangent line. Find the exact value,
-
2
no decimals.
2
1+2 ln
t =
4
Transcribed Image Text:Given the the parametric curve Sx(t) ly(t) e8t – 2t 8t sin t dy (a) Find an expression for dx dy 4(t cos (t) + sin(t) dx 1– 4est (b) Find the slope of the tangent line at the point (e16 – 47, 0). Find the exact value, no decimals. - 87 X syntax incomplete. 1- 4e16at (c) Find the equation of any horizontal tangent line(s) for <t < Use cartesian coordinates and 2 be sure to enter an equation. y = 0 (d) Find the value(s) of t for <t < 2 where there is a vertical tangent line. Find the exact value, - 2 no decimals. 2 1+2 ln t = 4
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning