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If y=4x^3+3/x^2-3, what is dy/dx?

We know the rule for differentiation is, multiply by the power reduce the power by one. Although having several parts this looks confusing we just need to break it down. 4x^3 differentiates to 12x^2 followin...
Answered by Maths tutor
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y = 2/x^3 find and expression for dy/dx

y = 2 x -3 simpler to differentiate in this form dy/dx = (-3)(2 x -4 ) multiply by power out the front and subtract one from the powerdy/dx = -6/x 4 simplified version of above equation
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Answered by Rufus B. Maths tutor
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make into a cartesian equation= x=ln(t+3) y= 1/t+5

e^x= t+3 t= e^x -3therefore y= 1/e^x-3+5y= 1/e^x+2
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Answered by Ryan P. Maths tutor
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Find the two real roots of the equation x^4 - 5 = 4x^2 . Give the roots in an exact form. [4]

x 4 - 5 = 4x 2 . In order to find the roots of this equation we must factorise it, and, to do so, it must be rearranged such that all the terms are on one side. Therefore, subtract 4x 2 from both sides to ob...
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Answered by Sanjay S. Maths tutor
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What are the conditions for an event to be modeled with the binomial distribution?

The event should be; mutually exclusive from the other outcome, independent from the other outcome (so its probability doesn't change ) and happen within a fixed number of trials . A good example would be th...
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Answered by Roy K. Maths tutor
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