Solve the linear programming problem by the simplex method.


0;22;0;0;17;15;12;88

Mathematics

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Find the gradient field F of the function f.f(x, y, z) = x6y7 + 

A. F = (6x5 + 5x4)i + 7y6j + k
B. F = 6x5y7i + 7x6y6j - k
C. F = (6x5 + 5x4)i + 7y6j - k
D. F = i + 7x6y6j - k

Mathematics

Use a scientific calculator to approximate the common logarithm. Round to four decimal places.log 196

A. 2.2945 B. 5.2781 C. 2.2923 D. 2.2900

Mathematics

Factor completely, or state that the polynomial is prime.2x4 - 2

A. 2(x2 + 1)(x2 - 1) B. 2(x2 + 1)(x + 1)(x - 1) C. 2(x + 1)2(x - 1)2 D. prime

Mathematics

Suppose the following is a graph of z = g(y). Which of the following can then be said about the solution y = f(t) to the initial value problem ?(I)f(t) is an increasing function(II)f(t) is always positive(III)f(t) has an inflection point when y = 2.

A. I only B. I, II, and III C. I and III D. III only E. II only

Mathematics