The surface z = f(x, y) is shown in the diagram. The green point is A = (-2, 2, 0) and the red point is B = (2, 2, 0). Z 0,88 -0,25 1,38 (a) Are the following quantities positive, negative, or zero? Positive v 1. fr(B) Negative v 2. fx(A) Negative v 3. f;(A) 50 Positive v 4. fy(B) (b) Suppose a point P in the xy-plane moves in a straight line from the green point A to the red point B. Positive to negative v 1. Does the sign of fy(P) change from positive to negative, negative to positive, or is there no OB change in sign? Negative to positive v 2. Does the sign of f.(P) change from positive to negative, negative to positive, or is there no change in sign?

An object moves in a straight line so that its velocity after t seconds v(t) = 2(sqroot)t - t. Determine the displacement and distance traveled by the object on [0,16].

1. Is L = {1 − 2x + 3x^2, x − 2x^2, 2 − 5x + 8x^2} linearly independent? If yes, show why. If not, show a dependence relationship. Is L = {1 + 2x + 2x^2, x − 2x^2, −2 − 3x − 5x^2} linearly independent? If yes, show why. If not, show a dependence relationship.

Find the point of intersection for the lines (t) = (-7, -7, −9)t + (−3, 1, 3) and w(u) = (1, −5, −5)u + (17, 27, 35). x = У x =