Solve the problem.A block sitting at rest on an inclined plane is held in place by a friction force, f, that is directed against the bottom surface of the block in a direction up the incline parallel to the plane surface, and by a normal force, N, that is directed against the block in a direction out from and perpendicular to the plane surface. It can be shown that 
and 
where ? is the angle of inclination and mg is the weight of the block. Assume that mg is 5 pounds and plot f and N together on the same graph over
src="https://sciemce.com/media/4/ppg__rre0509191659__f1q9g3.jpg" alt="" style="vertical-align: -4.0px;" /> For what angle does 
appear to be an identity?
A. 0°;
Force
?°
B. 0° and 90°;
Force
?°
C. 45° ;
Force
?°
D. 90°;
Force
?°
Answer: C
Mathematics
src="https://sciemce.com/media/4/ppg__rre0509191659__f1q9g3.jpg" alt="" style="vertical-align: -4.0px;" /> For what angle does appear to be an identity?
A. 0°;
Force ?°
B. 0° and 90°;
Force ?°
C. 45° ;
Force ?°
D. 90°;
Force ?°
Answer: C
Mathematics
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Solve the problem.Find the dimensions that produce the maximum floor area for a one-story house that is rectangular in shape and has a perimeter of 153 ft.
A. 38.25 ft × 38.25 ft B. 76.5 ft × 76.5 ft C. 12.75 ft × 38.25 ft D. 38.25 ft × 153 ft
Mathematics
Graph the function.y = 
cos 
x
A. 
B. 
C. 
D. 
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Express the integrand as a sum of partial fractions and evaluate the integral.
A. -12 ln 
+ 8ln
+ C
B. -4 ln 
+ 8ln
- 4ln
+ C
C. - 
+ 8ln
+ 4ln
+ C
D. -12 ln 
+ 8ln
+ 4ln
+ C
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Graph the function.y = cot(4x)
A. 
B. 
C. 
D. 
Mathematics