The line mass density of wire is given by the formula p(x, y) = (5x³ + 3y² + 8z²) g/cm. Calculate the total mass M of the wire if its shape is described by the equations: x (t)=sin't, y(t) = cos't, z(t) = (cos't)/2, where 0≤t≤л/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.