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...
[In this question i and j are perpendicular unit vectors in a horizontal plane.] A particle P moves in such a way that its velocity v m s–1 at time t seconds is given...
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...
A car of mass 1000 kg moves with constant speed V m s−1 up a straight road inclined at an angle θ to the horizontal, where sin θ = 1/30. The engine of the...
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 tennis ball of mass 0.1 kg is hit by a racquet. Immediately before being hit, the ball has velocity 30i m s−1. The racquet exerts an impulse of (−2i − 4j) N s...
A cyclist starts from rest and moves along a straight horizontal road. The combined mass of the cyclist and his cycle is 120 kg. The resistance to motion is modelled as a constant force...
This article continues from the previous article. It may be a good idea to read through it before attempting this. This articles explores how to find the area. We know that to find the...
This article continues from the previous article. It may be a good idea to read through it before attempting this. This article explores how to convert parametric equations into a Cartesian equation. We shall...
