Express (6x² - 2x + 2) / ((x-1)(2x+1)) in partial fractions.

In the expansion of (x/a + a/x²)⁷ , it is given that (the coefficient of x⁴) / (the coefficient of x) = 3. Find the p…

The polynomial p(x) is defined by p(x) = ax³ – ax² + ax + b, where a and b are constants. It is given that (x + 2) is…

The polynomial 2x⁴ + ax³ + bx − 1, where a and b are constants, is denoted by p(x). When p(x) is divided by x² – x + …

Pack A consists of ten cards numbered 0, 0, 1, 1, 1, 1, 1, 3, 3, 3. Pack B consists of six cards numbered 0, 0, 2, 2,…

The lengths, in centimetres, of middle fingers of women in Raneland have a normal distribution with mean u and standa…

A curve has equation y = 4x sin ½ x. Find the equation of the tangent to the curve at the point for which x = π.