Evaluate the definite integral and interpret the result.
A. 10.25; the total shaded area is equal to 10.25
B. 10.25; the shaded area above the x-axis minus the shaded area below the x-axis is equal to 10.25.
C. 12,206.25; the total shaded area is equal to 12,206.25.
D. 12,206.25; the shaded area above the x-axis minus the shaded area below the x-axis is equal to 12,206.25.
Answer: B
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Solve the problem.Find an equation for the level surface of the function f(x, y, z) = 
d? - 
dt that passes through the point (0, ln 3, ln 4) .
A. ey + ez - 
= -1
B. ey - ez + 
= 1
C. ey + ez - 
= 1
D. ey - ez + 
= -1
Solve.The maximum number of volts, E, that can be placed across a resistor is given by the formula 
where P is the number of watts of power that the resistor can absorb and R is the resistance of the resistor in ohms. Solve this equation for R. Use the result to determine the resistance of a resistor if P is 2 watts and E is 30 volts.
A. R = 
B. R = E2P
C. R = E2P2
D. R = 
Solve the system of equations.
A. inconsistent (no solution) B. x = 0, y = 2, z = 0 C. x = 0, y = 0, z = 2 D. x = 4, y = 2, z = 0
Find the standard form of the equation of the ellipse with vertices 
and eccentricity 
.
A. 
B. 
C. 
D. 
E. 