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Elaborate the term Total Revenue and Marginal revenue also calculate TR and MR in the given table 


The bob of a simple pendulum is pulled to the right by an angle θ_0 = 10° and then released from rest. If the period of oscillation equals to one second, what is the time needed for the bob to reach the angular position θ = -5° for the first time? (g = 10 m/s^2)


Let z be a normal random variable with a mean of 35 and a standard deviation of 4. Determine (z ≤ 1.4)

Write a pseudocode algorithm for the problem


JamEx Limited requires a program to calculate and print the commission received by a salesperson. The program should process an undetermined number of salespersons and appropriately terminate by a predefined input. The commission rate is based on two factors, the amount of sales and the class to which a salesperson belongs. The input will be the salesperson number, sales amount and class. The commission rate will be based on the following criteria:

Class=1

If sales is equal to or less than $1000, the rate is 6 percent.

If sales is greater than $1000 but less than $2000, the rate is 7 percent.

If the sales is $2000 or greater, the rate is 10 percent.


Class=2

If the sales is less than $1000, the rate is 4 percent.

If the sales is $1000 or greater, the rate is 6 percent.


Class=3

The rate is 4.5 percent for all sales amount


Class=any other value

Output an appropriate error message


A sinusoidal wave travelling in the positive x-direction has a wavelength of 0.4 m, an amplitude of 20 cm, and a period of 4 seconds. The transverse position of an element of the medium at x = 0 and t = 0 is y = 10 cm, and the element is moving downward. The expression of the wave function describing this wave is:


Use the substitution theorem evaluate,


Integral 0 to 2 t^2[1+t^3]^-1/2dt

Write a program to determine whether a year entered through the keyboard is a leap year or not. Also determine whether the year is your year of birth, starting your school, start or end of matriculation (or O-levels etc), start or end of Intermediate education (FSC, A-levels, ICOM, ICS etc) or year of starting your education in COMSATS University?


Apply second substitution theorem evaluate


Integral 1 to 4 dt/(|t+4|√t)

A spring has a natural length of 8 inches. If a force of 20 lb. stretches the spring 0.5



inches, find the work done in stretching from 8 inches to 11 inches

Find the power set of each of these sets, where a and b are distinct elements. a) {a} b) {a, b} c) {∅,{∅}}


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