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We can express the equation of any circle in the form (x - a)^2 + (y- b)^2 = r^2. The centre of the circle is then the point (a, b) and its radius is ...

The gradient of a line in the form y = ax + b, where a and b are some numbers, is the number a.

So we need to get the equation 3x + 5y = 7 into the above...

First we want to calculate the derivative of y. To do this we use the product rule:If we rewrite y as y = uv, then dy/dx = vdu/dx + udv/dx.Here, we have u = x and v = cos(x).That means du/dx = 1 ...