Differentiate the following implicitly to find dy dx . Then find the slope of the curve at the given point.


Mathematics

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Find the partial derivative of the dependent variable or function with respect to each of the independent variables.z = xye-y

A.  = ye-y = xe-y
B.   = ye-y = - xye-y
C.  = ye-y  = xe-y(y - 1)
D.  = ye-y = xe-y(1 - y)

Mathematics

Find the limit, if it exists. 

A. 3x2 + 3xh + h2 B. Does not exist C. 0 D. 3x2

Mathematics

Solve by the substitution method.x + 2y = 5-4x + 3y = -20

A. (6, 5) B. (-5, -1) C. No solution D. (5, 0)

Mathematics

Rewrite the equation in the form y = A sin (x + ?). Round ? to three decimal places.y = 7 sin x + 2 cos x

A.  sin (x - 0.278)
B.  sin (x - 1.292)
C.  sin (x + 0.278)
D.  sin (x + 1.292)

Mathematics