Hand sketch the asymptotes for the Bode magnitude and phase plots for each of the following open-loop transfer functions. Then verify your plot using bode command in MATLAB. Please submit both hand-sketched plots along with the MATLAB plots:

a. L(s)= -s /(s+1)(s-1)
b. 1-s/s(s+1)
c. 10(s+1)/s(s^2+20s+100)

Ariver flows from north to south at 8 km/h. a boat is to cross this river from west to east at a speed of 20 km/h (speed of the boat with respect to the earth/ground). at what angle (in degrees) must the boat be pointed upstream such that it will proceed directly across the river (hint: find the speed of the boat with respect to water/river)? a 288 b. 21.8 c. 326 d. 30.2

Determine whether or not it is possible to compress air adiabatically from k to 140 kpa and 400 k. what is the entropy change during this process?

Hydraulic fluid with a sg. of 0.78 is flowing through a 1.5 in. i.d. pipe at 58 gal/min. the fluid has an absolute viscosity of 11.8 x 105 lbf-sec/ft2. is the flow laminar, turbulent or within the critical range? give both a numerical reynolds number and a term answer.