Give an appropriate answer.If one was to sketch the level curve of f(x, y) that goes through point p and the gradient vector placing it's intitial point at p, what should be true about ?f(p)?
A. ?f(p) = 0.
B. ?f(p) is perpendicular to the tangent line at p.
C. ?f(p) is perpendicular to the normal line at p.
D. ?f(p) is parallel to the tangent line at p.
Answer: B
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Solve the problem.Suppose that R ={(x, y): 0 ? x ? 9, 0 ? y ? 8},R1 = {(x, y): 0 ? x ? 9, 0 ? y ? 7}, andR2 = {(x, y): 0 ? x ? 9, 7 ? y ? 8}. Suppose, in addition, that
dA = 5, 
dA = 9, and 
dA = 4.Use the properties of integrals to evaluate 
A. 45 B. 90 C. 0 D. 54
Determine if the function is concave up or concave down in the first quadrant.y = x3/2
A. Concave up B. Concave down
Find an equation of the parabola described and state the two points that define the latus rectum.Focus at (0, 3); directrix the line y = -3
A. x2 = 16y; latus rectum: (8, 3) and (-8, 3) B. x2 = 12y; latus rectum: (3, 6) and (-3, 6) C. x2 = 12y; latus rectum: (6, 3) and (-6, 3) D. y2 = 16x; latus rectum: (7, 8) and (-7, 8)
Find the LCM of the given numbers.60, 40, 70
A. 280 B. 120 C. 420 D. 840