Let f x y x 2 2xy y 3 for all real x and y Which of the following is

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Previous Question: For what value of b is the line y = 10 x tangent to the curve y = e^(bx) at some point in the xy-plance? (A) 10/e (B) 10 (C) 10 e (D) e^10 (E) e Next Question: Suppose that two binary operations, denoted by + and * are defined on a nonempty set S, and that the following conditions are satisfied for all x, y, and z in S: (1) x+y and x * y are in S (2) x+(y+z) = (x+y)+z and x*(y*z) = (x*y)*z (3) x+y = y+x Also, for each x in S and for each positive integer n, the elements nx and n x are defined recursively as x^n are defined recursively as follos: 1x = x^1 = x and If kx = x^k have been defined, then (k+1)x = kx + x and x^(k+1) = x^k * x. Which of the following must be true? I. (x*y)^n = x^n * y^n for all x and y in S and for each positive integers n. II. n(x+y) = nx ny for all x and y in S and for each positive integer n. III. x^m * x^n = x^(m+n) for each x in S and for all positive integers m and n. (A) I only (B) II only (C) III only (D) II and III only (E) I, II, and III

(#M40151743) GRE Numerical Ability question xy-plance Keep an EYE

Let f(x, y) = x^2 – 2xy + y^3 for all real x and y. Which of the following is true.
(A) f has all of its relative extrema on the line x y.
(B) f has all of its relative extrema on the parabola x = y^2
(C) f has a relative minimum at (0, 0)
(D) f has an absolute minimum at (2/3, 2/3)
(E) f has an absolute minimum at (1, 1): Asked In GRE Aashu (9 years ago); Unsolved; Is this Puzzle helpful? (0) (0) Submit Your Solution Geometry

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Latest GRE Aptitude Question SOLUTION: Let f(x, y) = x^2 – 2xy + y^3 for all real x and y. Which of the following is true. (A) f has all of its relative extrema on the line x y. (B) f has all of its relative extrema o

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(#M40151743) GRE Numerical Ability question xy-plance Keep an EYE

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