The contour diagram for f (x, y) is shown below. y 4 3 2 1 The tangent plane to f (x, y) at the point P(xo, yo) is defined by z = c + m(x – xo) + n(y – yo) What are the signs of c and n? c is negative and n is positive Both c and n are negative. Both c and n are positive. Oc is positive and n is negative

Q: 3. Sketch the vector-valued function r(t) = (sin(2πt), t, 3 cos(2πt)), indicating direction.

A:

Q: B- Find the directional derivative of the function W = x² + xy + z³ at the point P: (2,1,1) in the…

A:

Q: E valuate f win Tydy tyxdx olE Cethe line seqment f&Om (0,2) to

A: on solving this we get the

Q: Jeremy and Thulile are running toward the point P along two straight paths that make a fixed angle…

A: Given: Jeremy and Thulile are running toward point P along two straight paths that make a fixed…

Q: 29. f(x, y) = x + y, C: x? + y² = 4 in the first quadrant from (2, 0) to (0, 2)

A:

Q: Evaluate Əw at (u,v) = (1,2) for the function w(x,y)=xy-y²; x = u-v, y = uv. ди OA. -1 B. 3 O C. 1…

A:

Q: The set of functions {Vx, x, x²} is linearly dependent on (0, oo). True False

A:

Q: Let a(t)-(1+t,t?,2+t?), then the equation of the tangent line at t-1 is: (2+t,-1+2t,3+2t)…

A: Here, a'(t)=(1,2t,2t)a'(1)=(1,2,2)anda(1)=(2,1,3)

Q: Find the derivative in the direction f (x,y) - 11 - 8x²-64² 2 2 of the function The directional dori…

A:

Q: tangent plane

A:

Q: c) Let f(x.y)= e. Find the directional derivative of f(xy) at the point (-3, 0) in the direction of…

A:

Q: Let f(x, y) = 6x – 2ry and the point M(5, 9). Among all unit directions, there is a unit direction…

A:

Q: What is the directional derivative of the function f (x, y) = 2xy – 3y2 at point p.= (5,5) in the…

A: