Z2F3 3.1 The formula e is used to determine the midpoint deflection of a tubular composite shaft (shown below), where: F: applied force L: support point distance E: Elasticity of material I: cross sectional moment of inertia if the force (F) is increased by 0.2% and the support point distance (L) is increased by 0.5%, use the partial differentiation method to approximate the percentage change in the midpoint deflection (y). (6] 3.2 A model for the surface area (skin) of a human body is given by 5 =T2w" K" where w is the weight in kilogram, h the height in centimetre and is measured in em'. If the errors in measurement of w and h are at most 2%, use differentials to estimate the maximum error in the calculated surface area. (&) 3.3 For gas confined in a container the pressure P is given by the equation P=MI pascal where M is a constant equal to 20 and the temperature T is B0C when the volume V is 35m*.Find the rate in change of the volume V if the temperature increases at a rate of 2C/hour and the pressure P is to remain constant. (5) TOTAL [80)