Consider the following parametric curve. Use the information to answer parts (a) and (b). π x = cost, y = 9 sint; t = - (a) Determine dy dx in terms of t and evaluate it at the given value of t. dy dx Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The value of 2 OB. The value of OA. dy dx (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 dotted line is the tangent line. Choose the correct graph below. O D. dy at t= - is (Simplify your answer.) dx at t= - Q π is undefined. O B. Q O C. Q Ay Q

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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Question
Consider the following parametric curve. Use the information to answer parts (a) and (b).
π
x = cost, y = 9 sint; t = -
2
(a) Determine
dy
dx
in terms of t and evaluate it at the given value of t.
dy
dx
Select the correct choice below and, if necessary, fill in the answer box within your choice.
OA. The value of
OB. The value of
OA.
dy
dx
at t=-2 is
dy
dx
(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 dotted line is the tangent line. Choose the correct graph below.
O D.
(Simplify your answer.)
π
at t= - is undefined.
Q
Q
O B.
Q
O C.
Q
Ay
Q
Transcribed Image Text:Consider the following parametric curve. Use the information to answer parts (a) and (b). π x = cost, y = 9 sint; t = - 2 (a) Determine dy dx in terms of t and evaluate it at the given value of t. dy dx Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The value of OB. The value of OA. dy dx at t=-2 is dy dx (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 dotted line is the tangent line. Choose the correct graph below. O D. (Simplify your answer.) π at t= - is undefined. Q Q O B. Q O C. Q Ay Q
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