Graph the function.f(x) = e3x - 2
A. 
B. 
C. 
D. 
Answer: A
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Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum 
, using the indicated point in the kth subinterval for ck.f(x) = cos x + 1, [0, 2?], right-hand endpoint
A. 
B. 
C. 
D. 
Solve the problem.dy/dt = ky + f(t) is a population model where y is the population at time t and f(t) is some function to describe the net effect on the population. Assume k = .02 and 
when t = 0. Solve the differential equation of y when f(t) = 9t.
A. y = -450t - 22,500 + 32,500e-.02t B. y = 450t - 22,500 + 32,500e-.02t C. y = 450t + 22,500 + 32,500e-.02t D. y = -450t - 22,500 + 32,500e.02t
Solve the problem.A particle moves every second on the x-axis in one-unit jumps such that its coordinate at any time is 0, 1, 2, or 3. If the particle is at 0 or 3, it does not move. On the other hand, if it is at 1 or 2, it will move to the right with probability 
and to the left with probability 
.(a) Give the stochastic matrix of transitions for this process in standard form.(b) Determine the fundamental matrix F.(c) What is the expected number of times the particle will be at 1 if it starts at 2?(d) What is the expected time before absorption of the particle if it
starts at 2? What will be an ideal response?
Solve the problem.An isosceles triangle contains two angles of the same measure. If the measure of the third angle is 54° less than the measure of either of the other two identical angles, find the measure of one of the identical angles. (Hint: The sum of the angles of a triangle is 180°.)
A. 78° B. 117° C. 58° D. 24°