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Using the method of binomial expansion (which I will cover in more detail) we get
(2x-3y)^4 = + 1(2x)^4(3y)^0 - 4(2x)^3(3y)^1 + 6(2x)^2(3y)^2 - 4(2x)^1(3y)^3 + 1(2x)^0(3y)^4 =
= 16x...
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
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
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