Provide an appropriate response.Find the average value of the function over the shaded region. f(x, y) = 9x + y
A. 
B. 
C. 
D. 
Answer: D
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Solve the problem.Find the point on the curve of intersection of the paraboloid 
and the plane 
that is closest to the origin.
A. (1, 1, -1) B. (1, 1, 1) C. (-1, 1, 1) D. (1, -1, 1)
Expand the expression using the Binomial Theorem.(3x - 1)5
A. 243x5 - 81x4 + 27x3 - 9x2 + 3x - 1 B. (9x2 - 6x + 1)5 C. 243x5 + 15x4 - 90x3 - 90x2 + 15x - 1 D. 243x5 - 405x4 + 270x3 - 90x2 + 15x - 1
Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros for the given function.f(x) = -8x5 - 3x4 - 1.5x3 + 7x2 + x + 6
A. 1 positive zero, 3 or 1 negative zeros B. 1 positive zero, 2 or 0 negative zeros C. 1 positive zero, 4 or 2 negative zeros D. 1 positive zero, 4, 3 or 1 negative zeros
Give a formula for a piecewise-defined function f for the graph shown.
A.
f(x) = 
B.
f(x) = 
C.
f(x) = 
D.
f(x) = 