Solve the problem.The area of the base B and the height h of a pyramid are related to the pyramid's volume V by the formula  How is dV/dt related to dh/dt if B is constant?

A.  = 
B.  = 
C.  = B
D.  = 


Answer: A

Mathematics

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The figure shows the graph of a function. At the given value of x, does the function appear to be differentiable, continuous but not differentiable, or neither continuous nor differentiable?x = 0

A. Differentiable B. Continuous but not differentiable C. Neither continuous nor differentiable

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Find the gradient field F of the function f.f(x, y, z) = 

A. F = (x2 + y2 + z2)i + j + k
B. F = i + 2yj + 2zk
C. F = i + j + k
D. F = i + j + k

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Find the slope of the line tangent tangent to the graph a the given point. y = , x = 8

A. m = 
B. m = 
C. m = 
D. m = 

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Multiply and simplify. Assume that all variables represent positive real numbers.(x - )(3x + )

A. 3x2 + 2x - y
B. 3x2 - 2x - y
C. 3x2 - 2x - y3
D. 3x2 - 4x 

Mathematics