Write a computer program or use an equation solver such as Mathcad or TKSolver to calculate and plot the s v a j diagrams for a 4-5-6-7 polynomial displacement cam function for any specified values of lift and duration. Test it using a lift of 20 mm over an interval of 60 deg at 1 rad/sec. Lift: h: = 20 mm Duration: beta: = 60.deg See Mathcad file P0825. The 4-5-6-7 polynomial is defined in local coordinates by equation 8.21. Differentiate it to get v, a, and j. s(theta) = h.[35.(theta/beta)^4 - 84.(theta/beta)^5 + 70.(theta/beta)^6 - 20.(theta/beta)^7] v(theta): = h/beta.[140.(theta/beta)^3 - 420.(theta/beta)^4 + 420.(theta/beta)^5 - 140.(theta/beta)^6] a(theta): = h/beta^2.[420.(theta/beta)^2 - 1680.(theta/beta)^3 + 2100.(theta/beta)^4 - 840.(theta/beta)^5] f(theta): = h/beta^3.[840.(theta/beta) - 5040.(theta/beta)^2 + 8400.(theta/beta)^3 - 4200.(theta/beta)^4] Plot the displacement, velocity, acceleration and jerk functions over the lift interval: theta: = 0.deg, 0.5-deg.. beta Write a computer program or use an equation solver such as Mathcad or TKSolver to calculate and plot the s v a j diagrams for a 4-5-6-7 polynomial displacement cam function for any specified values of lift and duration. Test it using a lift of 20 mm over an interval of 60 deg at 1 rad/sec. Lift: h: = 20 mm Duration: beta: = 60.deg See Mathcad file P0825. The 4-5-6-7 polynomial is defined in local coordinates by equation 8.21. Differentiate it to get v, a, and j. s(theta) = h.[35.(theta/beta)^4 - 84.(theta/beta)^5 + 70.(theta/beta)^6 - 20.(theta/beta)^7] v(theta): = h/beta.[140.(theta/beta)^3 - 420.(theta/beta)^4 + 420.(theta/beta)^5 - 140.(theta/beta)^6] a(theta): = h/beta^2.[420.(theta/beta)^2 - 1680.(theta/beta)^3 + 2100.(theta/beta)^4 - 840.(theta/beta)^5] f(theta): = h/beta^3.[840.(theta/beta) - 5040.(theta/beta)^2 + 8400.(theta/beta)^3 - 4200.(theta/beta)^4] Plot the displacement, velocity, acceleration and jerk functions over the lift interval: theta: = 0.deg, 0.5-deg.. beta