Question 6: [35 marks] The line mass density of wire is given by the formula p(x,y) = (5x3+ 3y= + 8z?) g/cm Calculate the total mass M of the wire if its shape is described by the equations: x (t) = sin't, y (t) = cost, z (t) = (cost)/2, where 0 StS =/2 and length is measured in centimetres. Present you answer in the exact form (don't use a calculator) with the appropriate dimension. Rubric: 7 marks if the arc element ds was calculated correctly; 8 marks if the formula for the total mass is presented in the correct form; 12 marks if the integration was correct; 3 marks if the substitution was correct; 3 marks if the result was correctly presented in the exact form; 2 marks if the mass dimension is given correctly in grams