linear programming, Mathematics

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Proof of: limq?0 (cosq -1)/q = 0 trig limit, Proof of: lim q →0 (co...

Proof of: lim q →0 (cos q -1) / q = 0 We will begin by doing the following, lim q →0 (cosq -1)/q = lim q →0 ((cosq - 1)(cosq + 1))/(q (cosq + 1)) = lim q

Quadratic equation whose roots are real, Write the quadratic equation whose...

Write the quadratic equation whose roots are real and non conjugate Ans)  x^2-x+6=0 ...roots are real and non conjugate

Solve-|x2-5x+4/x2-4|

x^2-5x+4 can written in roots as (x-1)*(x-4) x^2-4 can be written interms of (x-2)(x+2).so [(x-1)(x-4)/(x-2)(x+2)]

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Consider a class of 55 students. The student names are placed in a hat & 3 names are randomly drawn without replacement. a)     If the first person drawn was named the class presi

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Evaluate the below given limit. Solution Note as well that we actually do have to do the right-hand limit here. We know that the natural logarithm is just described fo

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Find the third vertex of a triangle if its two vertices are (-1, 4) and (5, 2) and mid point of one side is (0, 3).

Proof of the derivative of a constant, Proof of the Derivative of a Constan...

Proof of the Derivative of a Constant : d(c)/dx = 0 It is very easy to prove by using the definition of the derivative therefore define, f(x) = c and the utilize the definiti

Unipolar and bipolar boolean inputs, A 4-input Neuron has weights (1,-1,  0...

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