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The first term of an arithmetic series is a and the common difference is d. The 12th term is 66.5 and the 19th term is 98. Write down two equations in a and d then solve these simultaneous equations to find a and d.

How can I determine the characteristics of a curve on an x-y set of axis (eg. points of intersection, stationary points, area under graph)?

d/dx[sin(x) + cos(x)]

The quadratic equation x^2 + 4kx+2(k+1) = 0 has equal roots, find the possible values of k.

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