Question

how to do all the questions?

10 6 2.4) 4 -2 -8 -10 -10 -8 -2 The contour plot above shows the level curves of some surface given by the function z-f(x, y). At (-8,2) the green vectors e and w are tangential to the contour there, and the blue vectors are perpendicular to the green ones. Moreover, at any point (in the frame above), we know that oflàx > 0 Which of the following vectors could represent Vf(-8, 2) ? 1 b) Which direction is the direction of no change in z at (-8,2)? O halfway between n and e O the blue direction halfway between s and e O the green direction c What is the value of Dwf-8,2) ? O can't tell since we don't know the value of Vf(-8,2) d) Which vector points in the direction of the path of steepest descent from (-8,2) ? ○e e) What can be said about the magnitudes of the gradient vector Vf at the points (-8,2) and (-2,4)? O the magnitude is greater at (-8,2) since the contours are more tightly placed O the magnitude is greater at (-2,4) since the contours are more widely placed O the magnitudes are equal since the contour levels increase/decrease by 1

Answer 1

b. ho ic. in -3 e.