Provide an appropriate answer.Find  when u = 0 and v =  if z(x, y) = sin x + cos y, x = u ? v, and y = u + v.

A.  = 0
B.  = 2
C.  = 1
D.  = -1


Answer: C

Mathematics

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Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = x3

A.

B.

C.

D.

Mathematics

Find the maximum and minimum values of the function and the values of x and y for which they occur.Q = 2x + 5y, subject to3x + 2y ? 6,-2x + 4y ? 8,x ? 0,y ? 0.

A. Maximum: 12 when x =  and y = ; minimum: 4 when x = 2 and y = 0
B. Maximum: 10 when x = 0 and y = 2; minimum: 0 when x = 0 and y = 0
C. Maximum: 13 when x =  and y = ; minimum: 0 when x = 0 and y = 0
D. Maximum: 12 when x =  and y = ; minimum: 0 when x = 0 and y = 0

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Find the focus and directrix of the parabola with the given equation.9y2 = -4x

A. Focus: , directrix: x = - 
B. Focus: , directrix: y =  
C. Focus: , directrix: y = 
D. Focus: , directrix: x =  

Mathematics

Find the slope and the y-intercept from the equation of the line. Sketch a graph of the equation.y = 2x - 4

A. m = 4, y-intercept = 2

B. m = 2, y-intercept = 4

C. m = 4, y-intercept = 2

D. m = 2, y-intercept = - 4

Mathematics