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 +...
Find \(\int\)(6x² + 2/x² + 5) giving each term in its simplest form. (4) Answer ANSWER Explanation Explanation Evaluate (32)3/5, giving your answer as an integer. (2) Simplify fully (25×4/4)-¼(2) Answer ANSWER Explanation Explanation...
Given that y = x4 + 6x½, find in their simplest form dy/dx(3) \(\int\)y dx(3) Answer ANSWER Explanation Explanation Simplify √32 + √18 giving your answer in the form a √2 , where a...
Find the value of 25½(1) 25-3/2(2) Answer ANSWER Explanation Explanation Given that y = 2×5 + 7 + 1/x³, x≠0 find, in their simplest form, dy/dx(3) \(\int\)y dx4) Answer ANSWER Explanation Explanation The points...
Find the value of 16-¼(2) Simplify x(2x-¼)4(2) Answer ANSWER Explanation Explanation Find \(\int \) (12×5 − 3×2 + 4×3 )dx giving each term in its simplest form. (5) Answer ANSWER Explanation Explanation Simplify 5...
Express 7cosx − 24sin x in the form R cos (x + α) where R>0 and 0<α<π/2 . Give the value of α to 3 decimal places. (3) Hence write down the minimum value...
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...
