A group of students are playing a game in which each player attempts to toss a beanbag through a hole cut in a piece of plywood.
Players earn points for successful tosses and lose points for missed tosses. Results for two players are shown in the table.
Based on the table, which statement is true
Based on the table, which statement is true
1 answer:
You might be interested in
Let . The tangent plane to the surface at (0, 0, 8) is
The gradient is
so the tangent plane's equation is
The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by , then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation
or ,
, and
.
(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)
