A graphing calculator is recommended. An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle 6 with the plane, then the magnitude of the force is F = u sin(0) + cos(0) where u is a constant called the coefficient of friction. (a) Find the rate of change of F with respect to e. iW(u cos 0 – sin 0) (u sin 0+ cos 0)² dF Your answer includes 14 characters that can't be graded. Your answer cannot be understood or graded. More Information de Delete your recent changes and use the pad tools to finish your answer. More information (b) When is this rate of change equal to 0? tan u (c) If W = 40 Ib and u = 0.6, draw the graph of F as a function of e.

Calculus: Early Transcendentals
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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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A graphing calculator is recommended.
An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle 0 with the plane, then the magnitude of the force is
μW
F =
u sin(0) + cos(0)
where u is a constant called the coefficient of friction.
(a) Find the rate of change of F with respect to 0.
µW(µ cos 0 – sin 0)
dF
Your answer includes 14 characters that can't be graded.
Your answer cannot be understood or graded. More Information
(u sin 0+ cos 0)-
op
Delete your recent changes and use the pad tools to finish your answer. More information
(b) When is this rate of change equal to 0?
tanu
(c) If W = 40 lb and u = 0.6, draw the graph of F as a function of 0.
Transcribed Image Text:A graphing calculator is recommended. An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle 0 with the plane, then the magnitude of the force is μW F = u sin(0) + cos(0) where u is a constant called the coefficient of friction. (a) Find the rate of change of F with respect to 0. µW(µ cos 0 – sin 0) dF Your answer includes 14 characters that can't be graded. Your answer cannot be understood or graded. More Information (u sin 0+ cos 0)- op Delete your recent changes and use the pad tools to finish your answer. More information (b) When is this rate of change equal to 0? tanu (c) If W = 40 lb and u = 0.6, draw the graph of F as a function of 0.
(c) If W = 40 lb and u = 0.6, draw the qgraph of F as a function of e.
F
F
F
48
24
48
24
12
24
0.1 0.2 0304 0.5 0.6 0.7 0.8 0.9
24
-48
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
1
F
24
12
0.1 0.2 0304 0.5 0.6 0.7 0.8 0.9
1
- 12
-24
dF
= 0. (Round your answer to two decimal places.)
de
Use the graph to locate the value of 0 for which
e =0.38
Is the value consistent with your answer to part (b)?
O Yes, the value from the graph is consistent with the value in part (b).
O No, the value from the graph is not consistent with the value in part (b).
Transcribed Image Text:(c) If W = 40 lb and u = 0.6, draw the qgraph of F as a function of e. F F F 48 24 48 24 12 24 0.1 0.2 0304 0.5 0.6 0.7 0.8 0.9 24 -48 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 F 24 12 0.1 0.2 0304 0.5 0.6 0.7 0.8 0.9 1 - 12 -24 dF = 0. (Round your answer to two decimal places.) de Use the graph to locate the value of 0 for which e =0.38 Is the value consistent with your answer to part (b)? O Yes, the value from the graph is consistent with the value in part (b). O No, the value from the graph is not consistent with the value in part (b).
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