Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.
A. 
local maximim
B. 
local minimum; 
local minimum
C. 
saddle point; 
D. 
saddle point
Answer: D
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Find all the first order partial derivatives for the following function.f(x, y) = 
A. 
= 
; 
= - 
B. 
= 
; 
= - 
C. 
= - 
; 
= - 
D. 
= 
; 
= 
Provide an appropriate response.Graph the equation 
for several values of a in order to get an idea of what these curves look like. (Try both 
and 
Show that the graph will have an inner loop for every a such that 
and find the values of ? that correspond to the inner loop.
What will be an ideal response?
Provide an appropriate response. A rectangle measures 12 m by 14 m. If the width is decreased by 3 m and the length is increased by 4 m, how much would the area change?
A. decrease by 18 m2 B. decrease by 6 m2 C. increase by 108 m2 D. decrease by 78 m2
Write interval notation.{ x ? x ? 2 }
A. (-?, 2] B. (2, ?) C. (-?, 2) D. [2, ?)