Consider the following parametric curve. Answer parts a and b. x= 2t, y = t*; t= - 1 a. Determine dy 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. O A. The value of at t= -1 is dx (Simplify your answer.) O B. The value of at t= - 1 is undefined. 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. OB. OC. OD.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the following parametric curve. Answer parts a and b.
x= 2t, y = t*; t= - 1
a. Determine
dy
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.
O A. The value of
at t= -1 is
(Simplify your answer.)
dy
at t= - 1 is undefined.
dx
O B. The value of
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 A.
OB.
OC.
OD.
Ay
AY
Transcribed Image Text:Consider the following parametric curve. Answer parts a and b. x= 2t, y = t*; t= - 1 a. Determine dy 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. O A. The value of at t= -1 is (Simplify your answer.) dy at t= - 1 is undefined. dx O B. The value of 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 A. OB. OC. OD. Ay AY
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