Solve the linear programming problem by the simplex method.
0;22;0;0;17;15;12;88
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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
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
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
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