I'll ask questions one by one. Only answer 1) please.

1) Based on the process drawn in the diagram, use Gauss elimination method to estimate the flow rates of the streams of W, S, E, and R. The known compositions are inserted on the process diagram. Sugar solution feed (F) containing 10% solids at a rate of 1000kg/h is concentrated in an evaporator. The stream from the evaporator (E) containing 40% solids is fed to a crystallizer to produce sugar crystals (S) with 97% solids. The saturated solution (R) with 30% solids exiting from the crystallizer is recycled back and mixed with the feed to increase the yield. 2) Estimate the area under the curve 4x2+3 from 1 to 3 using (a) the trapezoidal rule and (b) the Simpson's rule. 3) A human population of 1000 at time t=0 grows at a rate given by dN/dt=aN where a=0.025 per person per year. Plot the change in human population for 0t50 years. 4) Find the root of the below polynomial within the interval (1,1) using (a) the fixedpoint iteration method and (b) Newton's method. P=8x(63x470x2+15) 5) Estimate the first and second derivatives of 4x2+3 between 10 and 10 for h=0.5 (step size)