The SDM is used to find the minimum of a function ( v ), and the contours for this function are shown in Figure 8.31. (a) Shown in the plot is the second point v 2 calculated using the SDM. If the...

The SDM is used to find the minimum of a function
(v), and the contours for this function are shown in Figure 8.31.

(a) Shown in the plot is the second point
v
₂
calculated using the SDM. If the first point
v
₁
is located on the contour labeled with 28, where is
v
₁
located? Make sure to explain how you arrive at your answer. Also, you only need to find one location for
v
₁.

(b) Suppose the starting point
v
₁
is located on the contour labeled with 28. Where should it be so
v
₂
is the exact solution?