Evaluate the integral.
A. - 
+ 
tan-1 
+ C
B. - 
+ 
ln
+ C
C. - 
+ 
tan-1
+ C
D. 
+ 3tan-1
+ C
Answer: C
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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) = x2 - 2, [0, 8], right-hand endpoint
A. 
B. 
C. 
D. 
Find the area of the rectangle or square.
6 yd
A. 39 square yards B. 24 square yards C. 32 square yards D. 36 square yards
Tank A contains 50 lbs of salt dissolved in 100 gal of water. Tank B contains 100 lbs of salt dissolved in 100 gal of water. The mixture from tank A is pumped to tank B at the rate of 75 gal per hr, while the mixture from tank B is pumped to tank A at the same rate. Assume that the mixture in each tank is uniform by stirring. Let A(t ) and B(t ) be the amount of salt in tanks A and B after t hours, respectively.
(a) Draw a two-compartment model for A(t ) and B(t ). (b) Use the initial conditions A(0) = 50 and B(0) =100 to solve for A and B. (c) What are the equilibrium values of A and B? 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.
Subtract.-10 - (-3)
A. -7 B. -13 C. 7 D. 13