ABSTRACT
For each case, state the limits for which the expansion is valid. (10)
12. The modulus of rigidity G is given by G = R 4θ
L where R is the radius, θ the angle of twist and L the length. Find the approximate percentage error in G when R is measured 1.5% too large, θ is measure 3% too small and L is measured 1% too small. (6)
13. The solution to a differential equation associated with the path taken by a projectile for which the resistance to motion is proportional to the velocity is given by: y = 2.5(ex − e−x) + x − 25 Use Newton’s method to determine the value of x, correct to 2 decimal places, for which the value of y is zero. (11)
