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Circle theorem: angle in a semi-circle is a right angle.Therefore angle BAE = 90 + 31 = 121 degrees ABDE is a cyclic quadrilateral and:Circle theorem: Opposite angles in a cyclic quadrilateral sum to 180 ...

dx/dt = 3(t-1)²dy/dt = 3 + 16t^-3dy/dx=(dy/dt)(dt/dx) dy/dx = 3 + 16t^-3 / 3(t-1)²
At t=2 dy/dx= (3 + 16/8) / 3 = 5/3 Gradient of the normal = -3/5with t=2 y...

To answer this question for four marks, all you need to do is identify one problem caused by the global shift (for one mark) and then expand on the problems this can lead to (for a further three marks). I...

Golden rays of joy radiate through time-honoured glass. Bells sing, calling to students and teachers alike. It is a cheerful Friday afternoon; an air of feverish delirium coats the school. Picturesque and...

A function, y = f(x), with y on the vertical axis and x on the horizontal axis, can be transformed by 3 different ways: It can be stretched (or shrunk)If y = f(ax), the function is stretc...