Consider the following parametric curve. Answer parts a and b. x=3t, y=1³; t = -2 a. Determine dy dx dy in terms of t and evaluate it at the given value of t Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The value of dy at t= -2 is (Simplify your answer.) dx OD. O C. 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. OA. dy OB. The value of at t= -2 is undefined. Q Q B. Q 2 Q Q

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider
dy
dx
the following parametric curve. Answer parts a and b.
x = 3t, y = t³; t = -2
a. Determine
dy
dx
in terms of t and evaluate it at the given value of t.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
dy
OA. The value of at t= -2 is
dx
O A.
(Simplify your answer.)
dy
OB. The value of at t= -2 is undefined.
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 blue dotted line is the tangent line and the red line is the curve. Choose the correct graph below.
O B.
Ay
C...
Q
O C.
ON
O D.
Ay
P↑
Transcribed Image Text:Consider dy dx the following parametric curve. Answer parts a and b. x = 3t, y = t³; t = -2 a. Determine dy dx in terms of t and evaluate it at the given value of t. Select the correct choice below and, if necessary, fill in the answer box within your choice. dy OA. The value of at t= -2 is dx O A. (Simplify your answer.) dy OB. The value of at t= -2 is undefined. 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 blue dotted line is the tangent line and the red line is the curve. Choose the correct graph below. O B. Ay C... Q O C. ON O D. Ay P↑
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