HW5 1) Verify that the data IX y 1 0.406 2 0.05495 4 0.00100039 6 0.0000184326 can be fitted to an exponential curve y = ae". Find values for the constants a and m associated with the above data points and determine the RMS error. 2) Torque-speed data for an electric motor is given in the first two columns of the table below. Find the equation of the Newton divided-difference interpolating polynomial in highest order that passes through each data point and use it to estimate the torque at 1800 rpm.(Hint: w=rpm x 1000) Speed, w Torque, Ti (rpm x 1000) (ft-lb) 0.5 31 1 28 1.5 24 2.0 14 2.5 2