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Right angle triangle



Input


5

How should the concentration of a colour sample be determined


Greatest among four numbers




Input



5



3



7



2

Check whether the function f given by



f(x)=1/(2x-4)^2 ∀x∈]-2,2[



Is continuous in the interaval ]-2,2] but not bounded in the interval (-2,2)

Match the enzyme catalysed chemical reaction with the correct class of enzyme for that reaction



Instructions: Show the whole solutions in each question.



1. Determine the net capacitance of the capacitor combination when the capacitances are C1=12µF, C2=2µF, C3=4µF When the 12V potential difference is maintained across the combination, find the charge and the voltage across each capacitor.



2. Compute the capacitance of a capacitor with two parallel plates and separated by a layer of paraffin that is 0.25cm thick. The area of each plate is 70cm^2, and the dielectric constant of paraffin is 2.

A number is said to be evenly divisible by 9 if it is divisible by 9 and at the same time it is even. For example 18 is evenly divisible by 9 but 27 is not. A program is required that accepts an integer and checks whether it is evenly divisible by 9 or not and then prints an appropriate message.



Use Weierstrass’ M-Test to prove that the series


Infinity


∑ n^2x^n


n=1


converges uniformly in the interval [0,1/5]

The value of y is calculated as follows:-


y = 4x3 + 2x 6 when x > 5


y = 3x2 4y + 12 when x < 5


y = 6x 5 when x = 5


Write a program that accepts the value x and then computes the value of y.

A 240 V two-bar electrical eadiator is rated 1 KW per bar. Calculate the resistance in the radiator circuit when one bar is switched on.


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