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dy 5. "Z by direct differentiation of the equation in # 4. Show that the value of Find dy calculated this way is equal dx to the value you found in part 3 using the parametric chain rule.

dy 5. "Z by direct differentiation of the equation in # 4. Show that the value of Find dy calculated this way is equal dx to the value you found in part 3 using the parametric chain rule.

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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x = 5+t A parametric function has the equations y = 4–t² 1. Make a table of values of x and y for each integer value of t from -3 to 3. - 3 - 2 - ( 2 2 5 6 7 -5 3 -5 2. Plot the graph of this function, using the points found in #1. dy when t=1. Show that the line through the point (x,y) from part a, with slope "Zdr: dx dy 3. Find is tangent to the graph at that point. dy dy - -2f 9-3= -2 (x-6) Slope -2 4. Eliminate the parameter t and show that the resulting Cartesian equation is that of a parabola. tース-S y: 4-(2-5)* parmbola dy by direct differentiation of the equation in #4. Show that the value of dx dy dx 5. Find calculated this way is equal to the value you found in part 3 using the parametric chain rule.
Transcribed Image Text:x = 5+t A parametric function has the equations y = 4–t² 1. Make a table of values of x and y for each integer value of t from -3 to 3. - 3 - 2 - ( 2 2 5 6 7 -5 3 -5 2. Plot the graph of this function, using the points found in #1. dy when t=1. Show that the line through the point (x,y) from part a, with slope "Zdr: dx dy 3. Find is tangent to the graph at that point. dy dy - -2f 9-3= -2 (x-6) Slope -2 4. Eliminate the parameter t and show that the resulting Cartesian equation is that of a parabola. tース-S y: 4-(2-5)* parmbola dy by direct differentiation of the equation in #4. Show that the value of dx dy dx 5. Find calculated this way is equal to the value you found in part 3 using the parametric chain rule.
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