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PART A. Homogenous Linear Differential Equations

1. (D + 3) ^ 2 * y = 0


2. (D ^ 2 - 4D + 7) * y = 0 3. (D ^ 2 + 3D) * y = 0


PART A. Homogenous Linear differential Equations

1. (D + 3) ^ 2 * y = 0


2. (D ^ 2 - 4D + 7) * y = 0


6. (D ^ 3 - 2D ^ 2 - 3D) * y = 0


7. (4D ^ 3 - 3D + 1) * y = 0


5. (D ^ 3 - 3D ^ 2 + 4) * y = 0


4. (D ^ 2 + D - 7) * y = 0


3. (D ^ 2 + 3D) * y = 0


Explain the Principles of sustainable design. [


Gail works in a flower shop, where she produces 10 floral arrangements per hour. She is paid $10 per hour for the first eight hours she works and $15 an hour for each additional hour she works. What is the firm’s cost function? What are its AC, AVC, and MC functions? Draw the AC, AVC, and MC curves.



  1. The average weekly loss of labour hours due to factory accidents is studied on ten labours before and after a new industrial safety awareness program. The 95% confidence interval for the difference in mean of the weekly loss of labour hours before and after the industrial safety awareness program is (2.282, 8.118) in hours. Interpret the confidence interval.
  2. A 90% confidence interval for the average salary (in RM) of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. The interval was (139,048, 154,144). Give a practical interpretation of the interval.

A 2.5 KG MASS AND A 4 KG MASS ARE ATTACHED TO A LIGHT


WEIGHT CORD THAT PASSES OVER A FRICTIONLESS PULLEY. THE


HANGING MASSES ARE LEFT FREE TO MOVE. FIND THE


A 5000 KG TRUCK IS RUNNING AT 72 KPH.


a. ) IF IT IS TO BE STOPPED BY A CONSTANT RETARDING


FORCE IN 10 S. WHAT IS THE DECELERATION ?


b ) WHAT IS THE RETARDING FORCE ?

When planning a party you want to know whom to invite. Among the people you would like to invite are three touchy friends. You know that if Jasmine attends, she will become unhappy if Samir is there, Samir will attend only if Kanti will be there, and Kanti will not attend unless Jasmine also does. Which combinations of these three friends can you invite so as not to make someone unhappy?


Perform indicated operation.




1.A number which is 1/8 less than 56 is how much?




2.32 diminished by what part equals 28?


SOLUTION STOICHIOMETRY: Using the given BALANCED EQUATION, and calculate for what is asked in each number. Show complete solutions and write appropriate units for your final answers.




1. How many mL of 0.250 M barium nitrate are required to precipitate as barium sulfate all the sulfate ions from 50 mL of 0.350 M aluminum sulfate?


3 Ba(NO3)2 (aq) + Al2(SO4)3 (aq) --> 3 BaSO4 (s) + 2 Al(NO3)3 (aq




2. 5 mL of nitric acid, HNO3, are required to react with 50 mL of a 1.25 M Barium hydroxide, Ba(OH)2 solution:


2 HNO3 (aq) + Ba(OH)2 (aq) --> 2 H2O (aq) + Ba(NO3)2 (aq)




Determine the concentration (Molarity) of the nitric acid solution (HNO3).





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