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please help me with the TRUE or FALSE

Given Vf(1,2, 0) = 3i +j -4k, at point (1,2, 0) the directional derivative in the direction is... 5 None of the three. 13 3 13 Considerf (x, y) xe-2* at (x, y) (1,2) Which of the following is FALSE? To estimate f(0.9, 2. 2), let dx = -0. 1 and dy 0.2, calculatedf(1,2), and subtract it from f(1,2). f(1, 2) 1 None of the three df (1,2)f(1,2)dx +f(1,2)dy -dx+ dy 9y2 and a point (1, -1) Consider a function Z = f(x, y) = 4x2 Which of the following is FALSE? Vf(1,-1) is normal to the level curve that contains (1,-1) All of the three. Vf(1,-1) is parallel to the level curve that contains (1,-1) 13. The point (1, -1) is on the level curve 4x2 9y2 Considerf (x, y) y) at point, 3) cos (x Which of the following is TRUE? The function increases most rapidly in the direction of . None of the three The most rapid rate of increase is V2 The function decreases most rapidly in the direction of . sin(x-4y2 + 5z) Linearizef (x, y, z) at (x, у, 2) 3 (0, 0, 0). Which of the following is FALSE? The linearization can be used to estimate the function at any point, such as f(99. 5л, — 5, 20) None of the three. The linearization is L(x, y, z) = x + 5z The linearization can be used to estimate the function near (0, 0, 0), for example f(0.03, 0.1, 0.08)

Answer 1

ui,2,-2> NI+4t43 K1, 2,-2 3 DufCi,2,0) 4(1,2,0). u <용-을 우>· 새-' '6> 3x31 3t 2+8 13 +1 x 3 3 obtion e) is correct cl