Find the average value of the function f over the given region.f(x, y) = 
over the square 1 ? x ? 4, 1 ? y ? 4.
A. 
2
B. 
2
C. 
D. 
Answer: B
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The centroid of a triangle lies at the intersection of the triangle's medians, because it lies one-third of the way from each side towards the opposite vertex. Use this result to find the centroid of the triangle whose vertices appear as following.(0, 0), (6, 0), (3, 5)
A. (0, 
)
B. (2, 
)
C. (3, 
)
D. (3, 
)
Find the indicated derivative of the function.f'''(x) for f(x) = x(4x - 7)3
A. 512x - 672 B. 768x - 1008 C. 96x - 126 D. 4x - 2016
Solve the problem.Find the tangent to y = 2 - sin x at x = ?.
A. y = x - ? + 2 B. y = x - 2 C. y = - x + 2 D. y = - x + ? - 2
Factor out the greatest common factor.36x9y8 + 120x2y6 - 84x5y4
A. 12x2y4(3x7y4 + 10y2 - 7x3) B. x2y4(36x7y4 + 120y2 - 84x3) C. 12(3x9y8 + 10x2y6 - 7x5y4) D. 12x2(3x7y8 + 10y6 - 7x3y4)