Consider the following parametric curve. Answer parts a and b. 70 x=2 sint, y = 2 cost; t=2 a. Determine dy dx in terms of t and evaluate it at the given value of t. dx Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The value of B. The value of A. dy dy dx KN at t= - = is I at t=2 www. is undefined. (Simplify your answer.) b. Make a sketch of the curve showing the tangent line at the point corresponding to the given value of t. In each graph below, the blue dotted line is the tangent line and the red line is the curve. Choose the correct graph belov OB. 1 OC. O D.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 2ECP
icon
Related questions
Question
Consider the following parametric curve. Answer parts a and b.
T
x = 2 sint, y = 2 cost; t=2
a. Determine in terms of t and evaluate it at the given value of t.
dx
dy
dx
Select the correct choice below and, if necessary, fill in the answer box within your choice.
OA. The value of
B. The value of
38
A.
at t =
EN
NH
is
at t =
2
dx
is undefined.
(Simplify your answer.)
b. Make a sketch of the curve showing the tangent line at the point corresponding to the given value of t. In each
graph below, the blue dotted line is the tangent line and the red line is the curve. Choose the correct graph below.
OC.
OB.
11
OD.
Transcribed Image Text:Consider the following parametric curve. Answer parts a and b. T x = 2 sint, y = 2 cost; t=2 a. Determine in terms of t and evaluate it at the given value of t. dx dy dx Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The value of B. The value of 38 A. at t = EN NH is at t = 2 dx is undefined. (Simplify your answer.) b. Make a sketch of the curve showing the tangent line at the point corresponding to the given value of t. In each graph below, the blue dotted line is the tangent line and the red line is the curve. Choose the correct graph below. OC. OB. 11 OD.
Expert Solution
steps

Step by step

Solved in 6 steps with 19 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning