For the given parametric curve (a) sketch the curve over the given t-interval, indicating the direction in which it is traced, (b) identify the requested point, and (c) justify that you have found the requested point by analyzing an appropriate derivative. x=t+2, y = 42 + 4t, -3sts2, lowest point (a) Choose the correct graph of the curve below. OA. O B. Oc. OD. In which direction is t increasing? O A. From bottom to top O B. From left to right OC. From right to left O D. From top to bottom (b) What is the lowest point? (Type an ordered pair. Type an integer or a simplified fraction.) (c) How do you know this is the lowest point? O A. dy dy is positive and OB. dy =0 and =0. is positive. dx dx Oc. dy d'y OD. dy s negatvve and

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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For the given parametric curve (a) sketch the curve over the given t-interval, indicating the direction in which it is traced, (b) identify the requested point, and (c) justify that you have found the requested point by analyzing an appropriate derivative.
x=t+2, y = 4t2 + 4t, - 3sts2, lowest point
(a) Choose the correct graph of the curve below.
O A.
В.
OC.
OD.
Ay
244
24-
In which direction is t increasing?
O A. From bottom to top
B. From left to right
OC. From right to left
O D. From top to bottom
(b) What is the lowest point?
(Type an ordered pair. Type an integer or a simplified fraction.)
(c) How do you know this is the lowest point?
O A. dy
d?y
dx?
О В. dy
=0 and
dx
is positive and
= 0.
is positive.
dx
dx?
O C. dy
OD.
dy
d?y
= 0 and
dx
is negative.
is negative and
= 0.
dx
dx2
Transcribed Image Text:For the given parametric curve (a) sketch the curve over the given t-interval, indicating the direction in which it is traced, (b) identify the requested point, and (c) justify that you have found the requested point by analyzing an appropriate derivative. x=t+2, y = 4t2 + 4t, - 3sts2, lowest point (a) Choose the correct graph of the curve below. O A. В. OC. OD. Ay 244 24- In which direction is t increasing? O A. From bottom to top B. From left to right OC. From right to left O D. From top to bottom (b) What is the lowest point? (Type an ordered pair. Type an integer or a simplified fraction.) (c) How do you know this is the lowest point? O A. dy d?y dx? О В. dy =0 and dx is positive and = 0. is positive. dx dx? O C. dy OD. dy d?y = 0 and dx is negative. is negative and = 0. dx dx2
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