Solve the problem.A company has 204 sales representatives, each to be assigned to one of four marketing teams. If the first team is to have three times as many members as the second team and the third team is to have twice as many members as the fourth team, how can the members be distributed among the teams? (Let x denote the number of members assigned to the first team, y the number assigned to the second team, z the number assigned to the third team, and w the number assigned to the fourth team. Let w be the parameter.)
A. x = 102 - 3w, y = 34 - w, z = 68 + 3w, 0 ? w ? 34
B. x = 204 - 3w, y = 68 - w, z = 3w - 68, 0 ? w ? 68
C. x = 153 - 9w/4, y = 51 - 3w/4, z = 2w, 0 ? w ? 68
D. x = 51 - 3w/4, y = 17 - w/4, z = 2w, 0 ? w ? 34
Answer: C
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Solve the problem.An object is fired vertically upward with an initial velocity v(0) = v0 from an initial position s(0) = s0. Assuming no air resistance, the position of the object is governed by the differential equation 
where 
is the acceleration due to gravity (in the downward direction). For the following values of v0 and s0, find the position and velocity functions for all times at which the object is above the ground. Then find the time at which the highest point of the trajectory is reached and the height of the object at that time. v0 = 78.4 m/s, s0 =
35 m A. s = -9.8t2 + 78.4t + 35, v = -9.8t; Highest point of 348.6 m is reached at t = 9 s B. s = -9.8t2 + 78.4t + 35, v = -9.8t + 78.4; Highest point of 348.6 m is reached at t = 8 s C. s = -4.9t2 + 78.4t + 35, v = -9.8t + 78.4; Highest point of 348.6 m is reached at t = 8 s D. s = -4.9t2 + 78.4t + 35, v = -9.8t + 78.4; Highest point of 348.6 m is reached at t = 9 s
Set up an integral for the length of the curve.y = 
, 
? x ? 
A. 
B. 
C. 
D. 
Decide whether or not the matrices are inverses of each other.
and 
A. Yes B. No
Use the graph of f to determine the intervals where f is increasing and where f is decreasing.
A. increasing: [5, ?); decreasing (-?, 5] B. increasing: (-?, ?); decreasing: never C. increasing: (-?, 5]; decreasing [5, ?) D. increasing: (-?, 0]; decreasing [0, ?)