b0 = 5, b1 = 2, b2 = 7a. determine whether the plane slopes upward, slopes downward, or is horizontal in the x2 axis direction, when x1 is fixed at a specied value.b. find the equation of the plane.

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b0 = 5, b1 = 2, b2 = 7
a. determine whether the plane slopes upward, slopes downward, or is horizontal in the x2 axis direction, when x1 is fixed at a specied value.
b. find the equation of the plane.

Expert Solution
Step 1

(a)

Direction of the slope of a plane:

If the sign of a partial slope is positive, the plane slopes upward with respect to that axis; if the sign of a partial slope is negative, the plane slopes upward with respect to that axis; if the sign of a partial slope is zero, the plane remains horizontal with respect to that axis.

The partial slope corresponding to x2 is 7, which has a positive sign.

Thus, the plane slopes upward in the x2 axis direction, when x1 is fixed at a specified value.

 

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