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Find the first 3 terms in the expansion of ( 2x - 1/(16x) )⁸ in descending powers of x.
The first three terms in the expansion of (3 - 1/(9x))⁵ can be written as a + b/x + c/x². Find the value of each of t…
The first 3 terms, in ascending powers of x, in the expansion of (2+bx)^8 can be written as a + 256x + cx². Find the …
A function f is defined, for all real x, by f(x) = x - x². Find the greatest value of f(x) and the value of x for whi…
Solve the equation
The line y = kx – 5, where k is a positive constant, is a tangent to the curve y = x² + 4x at the point A.