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Example: y - 3x = 2 , x2 + y2 = 4 y= 3x + 2 x2 + (3x+2)2 = 4 10x2+ 12x + 4 = 4 10x2+12x=0 x(10x+12)=0 x=0 or x=-1.2 y=30 + 2 = 2 (0,2)...
Since either sketching the function f(x)=arctan(x)+ex+x3 or evaluating the precise/approximated solutions of the equation would be impossible with A-level techniques, we have to come...
To get the equation that describes l, we'll need to get the slope first: (15-3)/(5-2)=12/3=4r is perpendicular to l so it's slope is given by: -1/4To get b we calculate: -2=7*(-0.25) + b <=> b = -1/...
y=x+3, Substitute into equation 1 : (x^2) + (x+3)^2 = 29Expand the Brackets : (x^2) + (x^2 + 6x + 9) = 29Collect like terms : 2x^2 + 6x - 20 = 0Take out a factor of two : x^2 +3x -10 = 0Factorise : (x-2)(...
So, what I would be looking for from students who are answering this questions are the application of differentiation techniques that they would have been taught at Year 12. The first step in answering th...
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