Factorise completely x − 4x³ (3) Answer ANSWER Explanation Explanation Express 82x+3 in the form 2y , stating y in terms of x. (3) Answer ANSWER Explanation Explanation Express (5 − √8 )(1 +...
Factorise completely x − 4x³ (3) Answer ANSWER Explanation Explanation Express 82x+3 in the form 2y , stating y in terms of x. (2) Answer ANSWER Explanation Explanation Express (5 − √8 )(1 +...
Express 2/(2r + 1)(2r + 3)in partial fractions. (2) Using your answer to (a), find, in terms of n, [IMAGE] Give your answer as a single fraction in its simplest form. (3) Answer ANSWER...
Using calculus, find the coordinates of the stationary point on the curve with equation y = 2x + 3 + 8/x², x>0 Answer ANSWER Explanation Explanation y = x/√(1 + x) Complete the table...
Find the first 3 terms, in ascending powers of x, in the binomial expansion of (2 − 5x)6 Give each term in its simplest form. (4) Answer ANSWER Explanation Explanation f (x) = ax³...
A caravan of mass 600 kg is towed by a car of mass 900 kg along a straight horizontal road. The towbar joining the car to the caravan is modelled as a light rod...
Two uniform rods AB and BC are rigidly joined at B so that ∠ABC = 90°. Rod AB has length 0.5 m and mass 2 kg. Rod BC has length 2 m and mass...
A bag contains a large number of 1p, 2p and 5p coins. 50% are 1p coins 20% are 2p coins 30% are 5p coins A random sample of 3 coins is chosen from the...
Write down the conditions under which the Poisson distribution can be used as an approximation to the binomial distribution.(2) The probability of any one letter being delivered to the wrong house is 0.01 On...
