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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

dy/dx = 6x² + 4x + 9

dy = (6x² + 4x + 9) dx 

integrating gives:

y= (6x³/3) + (4x²/2) + 9x + c

y= 2x³ + 2x² + 9...

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

The general form of a quadratic equation is, ax² +bx + c = 0. If we divide all terms by a we get, x² +(b/a)x + c/a = 0. then by completing the square we get (x+(b/2a))² + ...

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 rever...