Refer to the double-bar graph below which shows the number of male and female athletes at a university over a four-year period. Solve the problem.
Find the increase in the number of male athletes from 2004 to 2005.
A. 475
B. 100
C. 50
D. 75
Answer: B
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Find the required quantity given the wire that lies along the curve r and has density ?.Moment of inertia Iz about the z-axis, where r(t) = (3 sin 2t)i + (3 cos 2t)j + e6tk, 0 ? t ? 1; 
A. Iz = 
(e12 - 1)
B. Iz = 
C. Iz = 
[(36 + 36e12)3/2 - (36 + 36)3/2 ]
D. Iz = 
Provide an appropriate response.Suppose the velocity of a body moving along the s-axis is 
= 9.8t - 5.Is it necessary to know the initial position of the body to find the body's displacement over some time interval? Justify your answer.
A. No, displacement has nothing to do with the position of the body. B. Yes, knowing the initial position is the only way to find the exact positions at the beginning and end of the time interval. Those positions are needed to find the displacement. C. Yes, integration is not possible without knowing the initial position. D. No, the initial position is necessary to find the curve s= f(t) but not necessary to find the displacement. The initial position determines the integration constant. When finding the displacement the integration constant is subtracted out.
Use a power-reducing identity to find the exact value of the expression.sin2 (165°)
A. 
B. 
C. 
D. 
Ohm's Law for the current I in a circuit with voltage E, resistance R, capacitance reactance XC, and inductive reactance XLis 
Use this law to solve the problem.Find R if 
and 
A.
1 +  i |
B.
 + i |
C.
| 1 + i |
D.
+ 
i