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Using chain and product rule.dy/dx=(20x^3)cos(2x) - (10x^4)sin(2x)

Without even knowing M, the candidate can calculate M^5. This will follow from the fact that P is the matrix consisting of the eigenvectors of M as columns, and D will have the eigenvalues (in matching co...

This question involves forces and kinematics. First begin by drawing the situation and identifying the forces acting on the marble. The weight of the marble acts vertically downwards and is equal to the m...

Context, as an essential part of the A-level marking criteria, is an often overlooked element. It is not only important to remember that each piece of literature was created within and influenced by its o...

The election of Margaret Thatcher in 1979 is often viewed as the beginning of the end for the post-war consensus that had developed in Britain. The post-war period of 'consensus' was defined by a paternal...