Solve the problem.Show that the value of the integral does not depend on the path taken from A to B.
+ 3y dy + 8xz dz
What will be an ideal response?
It passes the component test for exactness so the path taken does not matter.
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Find the average value of the function f over the given region.f(x, y) = 
over the square 1 ? x ? 2, 1 ? y ? 2.
A. 
B. 
C. 
D. 
Find the indicated measure of central tendency.The speeds (in mph) of the cars passing a certain checkpoint are measured by radar. The results are shown below. Find the midrange.44.2?41.0?43.0?40.9?43.040.4?44.7?41.5?44.2?42.844.0?41.5?40.9?44.0?41.0
A. 42.8 B. 4.30 C. 42.30 D. 42.55
Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.(5x4y7)-2
A. 25x8y14
B. 
C. 
D. 
Find the probability.A bag contains 20 marbles, of which 6 are blue and 10 are green. One marble is drawn from the bag. What is the probability that the marble drawn is not blue?
A. 
B. 
C. 
D. 