Find the area of the shaded region.Each small triangle has a height and a base of 3 m.
A. 360 m2
B. 324 m2
C. not enough information given
D. 648 m2
Answer: B
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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 = 58.8 m/s,
s0 = 45 m A. s = -9.8t2 + 58.8t + 45, v = -9.8t; Highest point of 221.4 m is reached at t = 7 s B. s = -9.8t2 + 58.8t + 45, v = -9.8t + 58.8; Highest point of 221.4 m is reached at t = 6 s C. s = -4.9t2 + 58.8t + 45, v = -9.8t + 58.8; Highest point of 221.4 m is reached at t = 7 s D. s = -4.9t2 + 58.8t + 45, v = -9.8t + 58.8; Highest point of 221.4 m is reached at t = 6 s
Factor the trinomial completely. If the trinomial cannot be factored, say it is prime.12x2 - 40x + 4x3
A. (4x2 + 8x)(x - 5) B. 4x(x + 2)(x - 5) C. 4x(x - 2)(x + 5) D. (x - 2)(4x2 + 20)
Find the exact value of the indicated trigonometric function of the angle ? in the figure. Rationalize the denominator where necessary.Find sec ?.
A. 
B. 
C. 
D. 
Factor the expression completely. If the polynomial is prime, state this as your answer.x3 + 512
A. (x - 512)(x2 - 1) B. (x + 8)(x2 + 64) C. (x + 8)(x2 - 8x + 64) D. (x - 8)(x2 + 8x + 64)