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First thing you would do is write down the coordinates where the tangent meets the curve. After that you would differenciate the equation (f(x)) of the curve (do dy/dx) in order to get f'(x).Then you woul...

We can denote the sides of the rectangle with a and b. As one side of the separated area is going to be the wall of the house, we do not have to use a fence there. Therefore, we will have two sides, one ...

Find out what they know what the questions means, ie if they know what sinx and cosx are and then how much they understand about what derivatives are.I would explain from the point they're at, define ever...

(a) To find the second derivative of f(x) we must differentiate f twice.the first derivative of f is f'(x)= 3x^2 + 6xthe second derivative therefore is f''(x)= 6x +6
(b) The integral of f(x) with res...

2^2x - 6(2^x ) + 5 = 0let y = 2^xy² - 6y + 5 = 0(y-5)(y-1) = 0 y=5, y=12^x = 5, therefore, x = log₂5 = 2.32 (3 s.f.)2^x = 1, therefo...