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Find the derivative of a function using Limit definition of derivative.

y = 4 √x


Find the inverse of matrix A given below using the formula A -1 =CT/│A│

A="\\begin{vmatrix}\n -6 & -4 & -4 \\\\\n -1 & -4 & 6 \\\\\\\n-6 & 5 & -1\n\\end{vmatrix}"


Consider a thermodynamic system consisting of 3 mol of an ideal gas occupying

0.03 m3

volume at 300 K temperature. Determine its initial pressure. For this

gas, γ=1.4. It undergoes the following processes:

i) It is compressed to 0.01 m3

volume isothermally. Determine the pressure of the

gas.

ii) then it is allowed to expand adiabatically, till it attains 1 atm pressure. Determine

the final volume. (1 atm = 101325 Nm-2

)

Draw a labeled indicator diagram of these processes.


Faculty salaries for a random sample of teacher in the public school system certain town recorded by dividing each salary 1,000 find the m a d and standard deviation of these salaries if the coded observation are 18,15,21,19,13,15,14,23,18 1nd 16pesos

Given functions 𝑓(𝑥) = 6 + √𝑥 − 4 and 𝑔(𝑥) =

10

𝑥−5

Determine the domain and range of 𝑓(𝑥) and 𝑔(𝑥)


Show that ¬p→(q→r) and q→(p ∨ r) are logically equivalent

Given the functions 𝑔(𝑥) = 𝑥 − 5 and 𝑓(𝑥) = 𝑒

𝑥

Determine (𝑓 ∘ 𝑔)(5)


COMPUTE GRADE PROGRAM





Create a function named StudeInfo that will accept the following values from the user:





StudentID, StudentName, Course, Age, PrelimGrade, MidtermGrade, FinalTermGrade.







Create a function named ComputeGrade that will compute Final Average which is computed as the sum of PrelimGrade, MidtermGrade and FinalTermGrade divided by 3.







Display the output with the following format: (sample output)





*************************************************************************************





Student ID : 00-00-01





Student Name : FERNAN W. AMMAQUI

There is established, pursuant to Article 225 of the Constitution, an entity of the national government to be known as the National Treasury. Discuss the various responsibilities and powers of the National Treasury.

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