Simplify. Assume that variables can represent any real number.
A. 3
k3q4
B. 3
k2
q8
C. 3k3q4 
D. 3
k2
q4
Answer: D
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The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 
for r(t) = (10t - 5t3)i + 2tan(3t)j + e3tk
A. a
= - 
?i - 72j + 9e1/4?k
B. a
= - 
?i - 72j + 9k
C. a
= - 
?i + 72j + 9e1/4?k
D. a
= 
?i + 72j + 9e1/4?k
Translate the problem to a system of equations, then solve using matrices.A basketball fieldhouse seats 15,000. Courtside seats sell for $8, endzone for $6, and balcony for $5. The total revenue from a sell-out is $86,000. If half the courtside and balcony seats and all the endzone seats are sold, the total revenue is $49,000. How many of each type are there?
A. 3000 courtside, 3000 endzone, 8,000 balcony B. 3000 courtside, 2000 endzone, 10,000 balcony C. 4000 courtside, 3000 endzone, 8000 balcony D. 3200 courtside, 1800 endzone, 10,000 balcony
x? = x(0.04 ? 0.0008x ? 0.004y) , y? = y (0.1? 0.005x ? 0.002y)
Let x and y represent the populations (in thousands) of two species that share a habitat. For each system of equations, find and assess the stability of the equilibrium points. Remember that, for real populations, both x0 and y0 must be nonnegative for ( x0, y0) to be an equilibrium point.
Graph the rational function and find the intercepts.g(x) = 
A. x-intercept: 0. y-intercept: -1
B. x-intercept: 0. y-intercept: 1
C. x-intercept: 0. y-intercept: 0
D. x-intercept: 0. y-intercept: 0