Indicate whether the following statements are true or false (\"True\" means \"Al
ID: 2851470 • Letter: I
Question
Indicate whether the following statements are true or false ("True" means "Always true", "false" means "sometimes false".) No justification is necessary on this problem. Write the entire word "True" or "False". Illegible or abbreviated answers will receive no credit. In the statements below, a, b, and c are vectors in R^3, a. b, c, and d are real numbers. C: r(t) - (x(t),y(t), z(t)) is a curve in R^3 with associated vectors T, N, and B, R is a closed and bounded region in R^2 or R^3 and f is a function on R with continuous partial derivatives of all orders. The area of R is integrate integrate R 1dA. (a + b) + c = a + (b + c). a Times b Times b a. N = B Times T If (a, b) is a critical point of f, fxx (a, b) = 1. and fyy(a, b) = - 1, then (a, b) is a saddle point of f. a - b = b - a. If f (x, y) GE 0 for (x, y) R, then integrate inegrate R fdA GE 0. The distance between the planes F : ax + by + cz = d and G ax + by + cz = d' is |d - d' |. If R = {(x,y,z): 1 LE x^2 + y^2 + z^2 LE 16}, then integarte integrate integrate R dV = 84pi. dr/dt = (dx/dt, dy/dt, dz/dt).Explanation / Answer
Indicate whether the following statements are true or false ("True" means "Al