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Q = P/ R (4 – t) Calculate the value of Q when P = 36, R = 3 and t = –2

First list what the question gives you. p=36 r=3 t=-2 Sub in the values that you know into the equation. Q= 36/ 3(4--2) Q= 36/18 Q=2
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Answered by Thomas F. Maths tutor
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Solve the differential equation: dy/dx = 6x^2 + 4x + 9

dy/dx = 6x 2 + 4x + 9 dy = (6x 2 + 4x + 9) dx integrating gives: y= (6x 3 /3) + (4x 2 /2) + 9x + c y= 2x 3 + 2x 2 + 9x + c If given boundary conditions of y(0)=0 then 0 = 2(0) 3 + 2(0) 2 +9(0) +c therefore c...
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Answered by Jack H. Maths tutor
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Differentiate: 6x^2 + 5x +7 =y

6x^2 + 5x +7 =y dy/dx = 12x + 5 To solve for a point of inflection: dy/dx = 12x + 5 = 0 x=-5/12 y=143/24
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Answered by Jack H. Maths tutor
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Where does the quadratic formulae come from?

The general form of a quadratic equation is, ax 2 +bx + c = 0. If we divide all terms by a we get, x 2 +(b/a)x + c/a = 0. then by completing the square we get (x+(b/2a)) 2 + c/a - b 2 /4a 2 = 0 which rearang...
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Answered by Benjamin O. Maths tutor
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Can I take a derivative at x=0 for the function f(x) = |x| ?

Just because a function is continuous at a point, that doesn't mean it has a derivative at that point. If a function is differentiable on an interval, then it is continuous on that interval, but the reverse ...
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Answered by Tutor68168 D. Maths tutor
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