1first, compute the integral analytically. then estimate the integral to 6 decimal places, as instructed. a) handwork use multiple applications of the trapezoid rule, with n=6. (use eq. 19.11). b) handwork apply the composite trapezoid rule, with n=6. (use eq. 19.17). c) matlab apply the composite trapezoid rule, with n=6, 12 & 24 d) handwork use multiple applications of simpson’s 1/3 rule, with n=6. (use eq. 19.22). e) handwork apply the composite simpson’s 1/3 rule, with n=6. (use eq. 19.26). f) matlab apply the composite simpson’s 1/3 rule, with n= 6, 12 & 24

Aplate of dimensions 3 m x 3 m is placed 0.37 mm apart from a fixed plate. the plate requires a force of 2n to move at speed of 45 cm/s. evaluate the viscosity of the fluid in between the plates

An engine, weighing 3000 n, is supported on a pedestal mount. it has been observed that the engine induces vibration into the surrounding area through its pedestal at the maximum operating speed. determine the stiffness of the dynamic vibration absorber spring in (n/m) that will reduce the vibration when mounted on the pedestal. the magnitude of the exciting force is 250 n, and the amplitude of motion of the auxiliary mass is to be limited to 2 mm note: in this question type-in right numbers, no decimals, no fractions, no unit. approximate to right number if needed

An electric motor is used to drive a power press which makes steel turning moment diagrams 323 pressings from a metal sheet. the motor runs at a mean speed of 50 rev/s. the torque required is 10.0nm for 0.2s, followed by 1.0nm for0.3 s with this sequence then being repeated. what is the minimum power required of the motor and the moment of incrtia required for the t1ywhcel if the speed fluctuations are to be restricted to 1.5%?