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x = f(t) y = g(t) -14 ≤ t ≤ 13 where f(t) and g(t) are differentiable functions of t and y is also a differentiable function of The table shown below contains information about the parametric equations for some values of t -14-12-11 -9-7-5-2014 6 7 10 12 13 f(t) -40 -35 -27 -18 -14 5 10 20 27 36 43 48 51 55 62 g(t) -109 -95-72 -61 -36 -9 -6 8 17 38 62 85 95 116 136 Suppose (10)-0,(-11)-0, (-2)-0, d (13)-0, dx (7)-3, (7)-9. dx dt dt dt dy dt dx dt dt

x = f(t) y = g(t) -14 ≤ t ≤ 13 where f(t) and g(t) are differentiable functions of t and y is also a differentiable function of The table shown below contains information about the parametric equations for some values of t -14-12-11 -9-7-5-2014 6 7 10 12 13 f(t) -40 -35 -27 -18 -14 5 10 20 27 36 43 48 51 55 62 g(t) -109 -95-72 -61 -36 -9 -6 8 17 38 62 85 95 116 136 Suppose (10)-0,(-11)-0, (-2)-0, d (13)-0, dx (7)-3, (7)-9. dx dt dt dt dy dt dx dt dt

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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A curve C is given by the following parametric equations x = f(t) y = g(t) -14 st≤ 13 where f(t) and g(t) are differentiable functions of t and y is also a differentiable function of x. The table shown below contains information about the parametric equations for some values of t. Suppose and dx dt (x,y) = -14-12-11 -9 -7-5-20 1 4 6 7 10 12 13 -40 -35 -27 -18 -14 5 10 20 27 36 43 48 51 55 62 8 17 38 62 85 95 116 136 g(t)-109-95-72-61-36 -9 -6 y = t f(t) (10) = = 0, d (-11) = = 0, dx (-2) = 0, dx dt (13) = 0 for t= 10, -11 and #0 for t= -2, 13. dy dt (a) Find the points where the tangent to the curve is horizontal. (Enter your answers as a comma-separated list of ordered pairs.) = 0, dx (7) = 3, dy (7) = 9. dt (b) Find the equation of the tangent to the curve when t = 7.
Transcribed Image Text:A curve C is given by the following parametric equations x = f(t) y = g(t) -14 st≤ 13 where f(t) and g(t) are differentiable functions of t and y is also a differentiable function of x. The table shown below contains information about the parametric equations for some values of t. Suppose and dx dt (x,y) = -14-12-11 -9 -7-5-20 1 4 6 7 10 12 13 -40 -35 -27 -18 -14 5 10 20 27 36 43 48 51 55 62 8 17 38 62 85 95 116 136 g(t)-109-95-72-61-36 -9 -6 y = t f(t) (10) = = 0, d (-11) = = 0, dx (-2) = 0, dx dt (13) = 0 for t= 10, -11 and #0 for t= -2, 13. dy dt (a) Find the points where the tangent to the curve is horizontal. (Enter your answers as a comma-separated list of ordered pairs.) = 0, dx (7) = 3, dy (7) = 9. dt (b) Find the equation of the tangent to the curve when t = 7.
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