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.