Question 7. Find the derivative of the function f(:]':, w .z] = g + E + f at point (515. 5] in the direction the function increases most rapidly. Question 8. For the level curve ag? ,3] = 12 for fling}, z] = 4:122 231r2+z2 at the point [2, 2, 2], nd the equations of a. the tangent plane and h. the normal line to the given surface at the given point. Question Q. a. If a is a unit vector in R2 then we can write u = cos[o:]i+c~os|[]j1 where or is the angle of a with the X-azuijs and ,8 is the angle of a with the vaxis. h. if n is a unit vector in R3 then we can write u = cos[or]i + cos(f3]j + cos{'}r}k, where o: is the angle of a with the Inc-axis, ,8 is the angle of a with the y-axis, and 1; is the angle of a with z-axis