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 set of values of x for which |x² – 4| > 3x Answer ANSWER Explanation Explanation The curve C has polar equation r = 1+ 2cosθ, 0≤θπ/2 At the point P on...
[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 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 factory produces components. Each component has a unique identity number and it is assumed that 2% of the components are faulty. On a particular day, a quality control manager wishes to take a...
The time in minutes that Elaine takes to checkout at her local supermarket follows a continuous uniform distribution defined over the interval [3, 9]. Find Elaine’s expected checkout time,(1) the variance of the time...
