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5x - 2 > 3x + 11 5x - 3x > 11 + 2 2x > 13 x > 13/2 x > 6.5
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
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
As the tangent meets the circle at P, when x =1, we can assume that the y value will be the same for this value of x. therefore we substitute x=1 into the equation of the cirlce. Rearranging the equation ...
i) (5 x 4) -12 = 8 ii) 5(x + 1) - 12 5x + 5 -12 5x - 7
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