Find the center of the ellipse.
+ 
= 1
A. (20, 0)
B. (0, 0)
C. (20, 16)
D. (0, 16)
Answer: B
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Estimate the value of the quantity.The table gives dye concentrations for a cardiac-output determination. The amount of dye injected was 
Plot the data and connect the data points with a smooth curve. Find the area under the curve using rectangles. Use this area to estimate the cardiac output.
Dye concentration (mg/L)
Time (sec)
A. 414.8 L/min B. 17.4 L/min C. 8.7 L/min D. 0.1 L/min
Find all the second order partial derivatives of the given function.f(x, y) = cos (xy2)
A. 
= - y2 sin xy2; 
= 2y
; 
= 
= 2
B. 
= -y4 cos xy2; 
= - 2x[2xy2 cos (xy2) + sin(xy2)]; 
= 
=
- 2y[xy2 cos (xy2) + sin(xy2)];
C. 
= y2 sin xy2; 
= 2[2y2 cos (xy2) - sin (xy2)] ; 
= 
= 2y[y2 cos (xy2) - sin (xy2)]
D. 
= - y2 sin xy2; 
= 2[ sin (xy2)- 2y2 cos (xy2)] ; 
= 
= 2y [sin (xy2)-y2 cos (xy2)]
Solve the problem.The slope to the tangent line of a curve is given by 
If the point (0, 3) is on the curve, find an equation of the curve.
A. f(x) = 
x3 - 12x2 + 9x + 1
B. f(x) = 
x3 - 
x2 + 9x + 1
C. f(x) = 
x3 - 
x2 + 9x + 3
D. f(x) = 
x3 - 12x2 + 9x + 3
Solve the problem.A certain area of forest is populated by two species of animals, which scientists refer to as A and B for simplicity. The forest supplies two kinds of food, referred to as F1 and F2. For one year, species A requires 1.45 units of F1 and 1 units of F2. Species B requires 2.0 units of F1 and 1.9 units of F2. The forest can normally supply at most 833 units of F1 and 453 units of F2 per year. What is the maximum total number of these animals that the forest can support?
A. 312 animals B. 886 animals C. 184 animals D. 453 animals