72-75. {Use of Tech} Equations of tangent lines a. Find an equation of the line tangent to the following curves at the given value of x. b. Use a graphing utility to plot the curve and the tangent line. π 3 3 72. y = 4 sinx cosxx = 73. y = 1+2 sinx; x = 74. y=cscx; x = 75.y= COSX 1–cosx TT 4 ; x = T 6 T 3

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Chapter1: Functions And Models
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72-75. {Use of Tech} Equations of tangent lines
a. Find an equation of the line tangent to the following curves at the given value of x.
b. Use a graphing utility to plot the curve and the tangent line.
72. y=4 sinx cosx;X
73. y = 1+2 sinx; x =
74. y=cscx; x =
75.y=
COSX
1−cosx
π
ix=
=
IT
6
T
3
π
3
Transcribed Image Text:177 72-75. {Use of Tech} Equations of tangent lines a. Find an equation of the line tangent to the following curves at the given value of x. b. Use a graphing utility to plot the curve and the tangent line. 72. y=4 sinx cosx;X 73. y = 1+2 sinx; x = 74. y=cscx; x = 75.y= COSX 1−cosx π ix= = IT 6 T 3 π 3
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