Solve the problem.A cylinder with height 12 m and radius 2 m is filled with water and must be emptied through an outlet pipe 3 m above the top of the cylinder. Compute the work required to empty the water in the top half of the tank. Then compute the work required to empty the (equal amount of) water in the lower half of the tank. Round to two decimal places when appropriate.
A. 13,300,246.6 J; 8,866,831.1 J
B. 4,433,415.55 J; 4,433,415.55 J
C. 4,433,415.55 J; 8,866,831.1 J
D. 8,866,831.1 J; 4,433,415.55 J
Answer: C
Mathematics
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Solve the problem.The ages and lengths of several animals of the same species are recorded in the following table: 
Find and then use a linear model to determine the age of an animal whose length is 30 inches. Round to the nearest year.
A. 32 yr B. 29 yr C. 31 yr D. 30 yr
Mathematics
Decide whether the equation describes a function.y = 5x + 5
A. yes B. no
Mathematics
Find an equation for the ellipse described.Foci at (-2, 1) and (4, 1); length of major axis is 10
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Mathematics
Prove the identity.sin3 x cos2 x = sin x (cos2 x - cos4 x)
What will be an ideal response?
Mathematics