Find the specified extreme value on the given region.
Maximum of T(x, y) = x + 6y
A. 57
B. 90
C. 72
D. 74
Answer: C
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Using Green's Theorem, find the outward flux of F across the closed curve C.F = ln (x2 + y2) i + tan-1 j; C is the region defined by the polar coordinate inequalities
and
A. 63 B. 65 C. 0 D. 126
Solve the problem.Given a committee of 8 women and 11 men, how many different ways are there to pick a female president, a male treasurer, and a secretary of either gender if one of the men, Pete, says that he cannot be the treasurer? Assume that none can hold more than one office.
A. 1496 B. 1672 C. 1520 D. 1360
Solve the problem.Mendel found that flower color in certain pea plants obeyed this scheme: Pure red crossed with pure white produces red. When pure red (RR) and pure white (rr) parents are crossed, the resulting Rr combination (one of each gene) produces second generation offspring with red flowers, since red is dominant. Suppose one of these second generation Rr flowers is crossed with a pure white. What is the probability that the resulting plant will have red flowers?
A. 0.25 B. 0.75 C. 0 D. 0.5
Divide and, if possible, simplify.
A. x
B. 3x
C. 3x
D. 3x