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Before we start any integration steps it would be wise to try and simplify the fraction that we have been given. We want to get rid of that denominator so we will start by expanding out the numerator. Thi...
The circle can be written (x+3)2+(y+5)^2 = 41 and so has center (-3,-5).The gradient through the center and the point (-8,-1) is;m = (-5+1)/(-3+8) = -4/5.The tangent line is perpend...
a) P (0,5)b) y = 2x + 5c) Q (3,11)
∫dy/dx = ∫6x^2 - 3x + 4y = (6/3)x^3 - ( 3/2)x^2 + 4x + cLet y = 14 and x = 214 = 2(2^3) - (3/2)(x^2) + 4(2) + c14 = 2(8) - (3/2)(4) + 4(2) + c14 = 16 - 6 + 8 + c14 = 18 + cc = -4therefore:y = 2x^3 - (3/2...
(1) Find the Midpoint of PQ which is (1,2) (Halfway between the x and y coordinates)(2) dy/dx for M(1,2) -> R(3,6) = (6-2)/(3-1) = 4/2 = 2(3) y =mx + c so y = 2x + c when R(3,6) is input 6 = 2(3) + c, ...
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