Consider the following parametric curve. Answer parts a and b. x = 4+2t, y=1-6t; t = 2 a. Determine dy dx 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 OB. The value of O A. dy dx at t = 2 is undefined. b. Make 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. (Simplify your answer.) Q O O B. O C. O D.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 20A
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Question
Consider the following parametric curve. Answer parts a and b.
x = 4+2t, y=1-6t; t = 2
a. Determine
dy
dx
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
dy
OB. The value of at t = 2 is undefined.
dx
OA.
b. Make 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.
(Simplify your answer.)
Q
O
O B.
O C.
O D.
Transcribed Image Text:Consider the following parametric curve. Answer parts a and b. x = 4+2t, y=1-6t; t = 2 a. Determine dy dx 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 dy OB. The value of at t = 2 is undefined. dx OA. b. Make 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. (Simplify your answer.) Q O O B. O C. O D.
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