Solve the problem. Use ? ? 3.14.A cylindrical water storage tank has a diameter of 18 meters and a height of 19 meters. Find the capacity of this tank. Round your answer to the nearest hundredth if necessary.
A. V ? 367,266.96 m3
B. V ? 6156 m3
C. V ? 19,329.84 m3
D. V ? 4832.46 m3
Answer: D
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Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = ln (5x + 9y)
A. Domain: all points in the xy-plane satisfying 5x + 9y ? 0; range: all real numbers; level curves: lines
B. Domain: all points in the xy-plane satisfying 5x + 9y > 0; range: all real numbers; level curves: lines
C. Domain: all points in the xy-plane; range: all real numbers; level curves: lines
D. Domain: all points in the xy-plane satisfying 5x + 9y > 0; range: real numbers z ? 0; level curves: lines
Use the given graph to find the values of t that produce the graph in the given quadrant.x = 2 - , y = t - 1, -6 ? t ? 6
Quadrant III
A. -2 ? t ? 1 B. -6 ? t ? -2 C. 2 ? t ? 6 D. 1 ? t ? 2
Verify that the general solution satisfies the differential equation. Then find the particular solution that satisfies the initial condition.
?
General Solution: Differential equation:
Initial condition:
,
A. , so
;
B. , so
;
C. , so
;
D. , so
;
E. , so
;
Find the absolute maximum and minimum values of the function, if they exist, over the indicated interval.