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Calculus: Early Transcendentals
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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part a,b,c,d please

Consider the following parametric equations. Answer parts a. through d. x = -t², y=t-7; -4 st≤4 a. Make a brief table of values of t, x, and y. t - 4 2 0 2 4 x(t) y(t) (Type integers or decimals.) b. Plot the points in the table and the full parametric curve. Choose the correct graph below. O A. 10 What is the positive orientation (the direction of increasing t)? O Right O Upward Downward Left B. c. Eliminate the parameter to obtain an equation in x and y. X = (Type an expression using y as the variable.) d. Describe the curve. Choose the correct answer below. O A. The curve is a upward-opening vertical parabola for which x increases as t increases. O B. The curve is a downward-opening vertical parabola for which x increases as t increases. OC. The curve is a left-opening horizontal parabola for which y increases as t increases. O D. The curve is a right-opening horizontal parabola for which y increases as t increases. O C. -20 Ay D. Q
Transcribed Image Text:Consider the following parametric equations. Answer parts a. through d. x = -t², y=t-7; -4 st≤4 a. Make a brief table of values of t, x, and y. t - 4 2 0 2 4 x(t) y(t) (Type integers or decimals.) b. Plot the points in the table and the full parametric curve. Choose the correct graph below. O A. 10 What is the positive orientation (the direction of increasing t)? O Right O Upward Downward Left B. c. Eliminate the parameter to obtain an equation in x and y. X = (Type an expression using y as the variable.) d. Describe the curve. Choose the correct answer below. O A. The curve is a upward-opening vertical parabola for which x increases as t increases. O B. The curve is a downward-opening vertical parabola for which x increases as t increases. OC. The curve is a left-opening horizontal parabola for which y increases as t increases. O D. The curve is a right-opening horizontal parabola for which y increases as t increases. O C. -20 Ay D. Q
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