Question

(6 points) Are the following statements true or false? 1. fi (a, b) is parallel to u 2.If iü is a unit vector, then fila, b) is a vector ? 3. Suppose f(a, b) and f(a, b) both exist. Then there is always a direction in which the rate of change of f at (a, b) is zero ?4.I f(x, y) has f. (a, b) 0 and f,(a, b) 0at the point (a, b), then f is constant everywhere | ? " 5. The gradient vector ▽ra, b) is tangent to the contour of fat (a, b) 26.I ü is perpendicular to Vf(a, b), then f (a,b) (0,0) 7.Vf(a, b) is a vector in 3-dimensional space 2 a. fs (a,b) V(a,b

Answer 1

ai b Tsve False a se