In a certain discrete math class, three quizzes were given. Out of the 30 students in the class:


a. Let A, B, and C be the sets of all students who scored 12 or above on quizzes #1, #2, and
#3, respectively. Then N(A) = 15,N(B) = 12, N(C) = 18, N(A ? B) = 7, N(A ? C) = 11,
N(B ? C) = 8, and N(A ? B ? C) = 4. Then

N(A ? B ? C) = 15 + 12 + 18 ? 7 ? 11 ? 8 + 4 = 23.

Mathematics

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Find the value.If F(x, y) = , find Fx(-4, -9) and Fy(-4, -9).

A. Fx(-4, -9) = - , Fy(-4, -9) = 
B. Fx(-4, -9) = , Fy(-4, -9) = 
C. Fx(-4, -9) = , Fy(-4, -9) = - 
D. Fx(-4, -9) = , Fy(-4, -9) = - 

Mathematics

Graph the function as a solid curve and its inverse as a dashed curve.f(x) = 1 - x2  for x ? 0 

A.

B.

C.

D.

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Find the square root.

A. 20 B. 1600 C. 80 D. 40

Mathematics

Use the figure to determine the derivative.The figure shows the graph of f(x) = 2 + ln x along with its tangent line at the point (1, 2). What is f'(1)?

A. -2 B. -1 C. 2 D. 1

Mathematics