A simply supported beam is 12 meters long and has a load at the center (see figure).
?
?
where, 
The deflection of the beam at its center is 2 centimeters. Assume that the shape of the deflected beam is parabolic.Write an equation of the parabola. (Assume that the origin is at the center of the deflected beam.)
?
A. 
B. 
C. 
D. 
E. 
Answer: E
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Find the center of mass of a thin plate of constant density covering the given region.The region bounded by the parabola y = 81 - x2 and the x-axis
A. 
= 0, 
= 
B. 
= 0, 
= 
C. 
= 
, 
= 0
D. 
= 0, 
= 
Solve the problem.Refer to the figure, which shows the geographical distribution of voters in a state with 64 voters and eight districts. The voters are half Democrat and half Republican. Assume that district boundaries must follow the grid lines shown in the figure and that each district must be contiguous.
Draw boundaries expected to result in the election of four Democratic and four Republican representatives.
What will be an ideal response?
Find the length of the indicated portion of the trajectory.r(t) = (etcos t)i + (etsin t)j + 5etk, -ln 2 ? t ? 0
A. 
B. 
C. 
D. 
Simplify using order of operations.36 - 42 + (-10) ÷ 
A. 2 B. 50 C. 22 D. 18