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3d^2y/dx^2+dy/dx-14y=0 ; y=(0) ,y'=(0)=-1


Represent the rational function f(x)=1/3x-1 using its table values and graph

The Program shall:

  • contain an arrow of 10 multiple choice questions with three (3) choices each
  • requires the user to choose among A, B, or C;

Note: Cases are ignored. Lowercase letters are acceptable (a, b, c).

Create a try-catch structure to handle three (3) exceptions. These are when the user inputs the following:

  • an invalid letter (not A, B, or C)
  • a number or any special character
  • blank (no answer)

Prompt the user that he can answer again if any of the three (3) exceptions is thrown

Display the score.


A machine produces cylindrical metal pieces. A sample of pieces is taken, and the diameter are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01 and 1.03 cm. Find the t-value for a 98% confidence interval for the diameters of the cylindrical metal pieces. Assume that the diameters are approximately normally distributed.


Explain how overloading a unary operator is almost similar to overloading a binary operator with necessary examples and include main() function to demonstrate. Mention the differences between these two in terms of number of operands they deal with.


which factors are vitally important for designing an optimal algorithm, explain those factors


An LPG tank contains 11.0 kg of butane gas, (C4H10), in a 25.0 L gas tank. What must be the pressure of the gas inside the tank when the temperature is 25 DEGREES CELCIUS?


What would be the pressure of 1.5 moles of Oxygen gas in a vessel with a volume of 5.0 L and temperature of 24 DEGREES CELCIUS?


 The fermentation of glucose produces ethanol and carbon dioxide as follows: C6H12O6 --> 2C2H5OH + 2 CO2. How many grams of ethanol will be produced when 4 grams of glucose reacts in this fashion? (The molar mass of glucose is 180 g/mol while ethanol is 46 g/mol). 


 Mustard gas is a poisonous gas that was used in World War 1 and banned afterward. It causes general destruction of body tissues, resulting in the formation of large water blisters. The chemical formula for mustard gas is C4H8Cl2S. What is the molecular mass of mustard gas?


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