Let f(x, y) be a function whose partial derivatives exist and are continuous at a point (a, b). Which of the following statements are true? Select all that apply. The linearization of f at (a, b) is not unique. fæ(a, b) is the slope of the tangent line to the O cross-section y = b at the point (a, b, f(a, b)) fy(a, b) is the slope of the tangent line to the O cross-section y = b at the point (a, b, f(a, b)) O None of the above

Q: Let = (3, 4, 12) . Find the directional derivative of f(z, y, 2) =1– y² +32³ in the direction of v.

A: Consider the given function, fx,y,z=x-y2+3z3 and v=3,4,12 Now, find the derivative of the function…

Q: f(x, y) = −5x – 9y, (-4,9), A=4i-3j A) - 13 B) 5 C) -47 N D) //

A:

Q: b. Find the angles 0 (with respect to the positive x-axis) associated with the directions of maximum…

A:

Q: Calculate the directional derivative of the function f(x.y.z)= In(xy+xz+yz) at (1, 1, 1) in the…

A:

Q: Consider the function f(r, y) = 212 + ry – 6ry + 5x +2. (a) Show that (1,3) is a stationary point of…

A: