(20 points) A finned-tube, cross-flow heat exchanger has a gas-side area of 10 m2 and an overall heat transfer coefficient of Uh = 154 W/m2K. Hot gas (cp,h = 1050 J/kg∙K) enters the gas side at a mass flow rate of 1.5 kg/s and an inlet temperature of Th,i = 325℃. Cold water (cp,c = 4200 J/kg∙K) enters the liquid side at a mass flow rate of 0.5 kg/s and an inlet temperature of Tc,i = 35℃. Determine the heat transfer rate. Use the effectiveness-NTU data shown below for your calculation.

(10 points) For given spectral distribution of surface irradiation, find the total, hemispherical irradiation. To receive full credit, include all units in your answers.

(Question 1) 15 points Evaluate the indicated integrals if is a positive real number constant. A.

(Question 2) 8 points A. Find g(2) B. Find g'(2) C. Find g”(9) D. Does g have a local maximum, a local minimum, or neither at x=9?    

(Question 10) 15 points Consider the function

(Question 2) 8 points Let

(Question 9) 8 points A. What is the total area between curves for

 (Question 9) 8 points A. What is the total area between curves for

 (Question 8) 6 points

(Question 6) 12 points Suppose  is a real number constant.  Evaluate the limits, writing your answer in terms of  where appropriate.  If the limit does not exist, write DNE. A.