Evaluate the integral.
?
?
A. 38
B. 85.5
C. 10
D. 19
E. 2
Answer: A
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Calculate the Taylor polynomial of second order that approximates f(x, y) near a.f(x, y) = 
, a = (2, 2)
A. 2 - 
(x - 2) + 
(y - 2) + 
(x - 2)2 - 
(x - 2)(y - 2) - 
(y - 2)2
B. 1 + 
(x - 2) + 
(y - 2) + 
(x - 2)2 + 
(x - 2)(y - 2) - 
(y - 2)2
C. 1 - 
(x - 2) + 
(y - 2) + 
(x - 2)2 - 
(x - 2)(y - 2) - 
(y - 2)2
D. 1 - 
(x - 2) - 
(y - 2) + 
(x - 2)2 - 
(x - 2)(y - 2) - 
(y - 2)2
Find the area of the specified region.Inside the six-leaved rose r2 = 8 cos 3?
A. 4
B. 8
C. 16
D. 
Match the differential equation with the appropriate direction field.y'(x) = x2 - y2
A. 
B. 
C. 
D. 
Solve.In a lottery game run by a certain state, for every game ticket purchased, a player can pick any 4 numbers from 1 through 44. If the numbers match those drawn by the state, the player wins. If Martin buys 3 tickets, what is his probability of winning?
A. 
B. 
C. 
D. 