Suppose that the utility function for two goods X and Y is given by 
, and a consumer purchases 2 units of X and 6 units of Y. If the consumer purchases 2 units of Y, how many units of X must be purchased to retain the same level of utility?
?
A. 
B. 
C. 
D. 
E. 
Answer: C
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Determine if the series 
defined by the formula converges or diverges.a1 = 5, an+1 = 
an
A. Converges B. Diverges
Solve the problem.A cylinder with height 12 m and radius 4 m is filled with water and must be emptied through an outlet pipe 2 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. 14,778,051.8 J; 32,511,714 J B. 35,467,324.4 J; 17,733,662.2 J C. 47,289,765.8 J; 32,511,714 J D. 17,733,662.2 J; 17,733,662.2 J
Find the indicated intersection or union.{q, s, u, v, w, x} ? ?
A. {q} B. {q, s, u, v, w, x} C. ? D. {q, s, u, v, w}
Establish the identity.cot x sec4 x = cot x + 2 tan x + tan3 x
What will be an ideal response?