Provide an appropriate response.Explain why a different slack variable must be used for each constraint when converting constraints to linear equations.
What will be an ideal response?
The slack variable represents the amount by which the sum of the variables do not equal the constant. This amount is different for each equation.
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Find the flux of the vector field F across the surface S in the indicated direction.F = 5xi + 5yj + 8k; S is "nose" of the paraboloid z = 7x2 + 7y2 cut by the plane z = 2; direction is outward
A. - 
?
B. 
C. 
?
D. 
?
Solve the problem.Suppose that the random variables (X, Y) have joint PDF 
Find k and P(Y > 4).
A. 
; 4.22
B. 
; 0.7
C. 36; 4.22
D. 36; 0.7
Solve the problem.The function f models the population of Country X from 1991 to 1998. The graphs of f and the horizontal line y = 115 are shown in the figure. Use the graphs to determine the x-values that satisfy (i) the inequality 
and (ii) 
Express your answers symbolically. 
A. {x|x > 1994}; {x|x ? 1994} B. {x|x = 1994}; {x|x ? 1994} C. {x|x ? 1994}; {x|x > 1994} D. {x|x = 1994}; {x|x > 1994}
Perform the indicated operation. Write the sum as a fraction, whole number, or mixed number in lowest terms. 
+ 
A. 
B. 
C. 
D. 1