Evaluate the following:
b)
Using the standard reduction for ∫P(x)e^{ax}dx: ∫x²e^{2x}dx ___ ____ _______ ______ ________ ___ ________.
________ _______ _____ _______ ________ ________ _______ _______ _____ ________ ________.
__________ _____ _________ ________.
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Draw a box plot with whisker, +ve sign and outliers for the following data:
42, 37, 28, 23, 32, 25, 26, 39, 38, 41, 22, 38, 21, 31, 26, 36, 42, 52, 50, 47, 24, 53, 28
State whether the following statements are True or False and also give the reason in support of your answer.
a) Collection of rich persons in India forms a set.
b) Following rule is a function from A to B.
d) In exclusive method, upper limit of a class is included in the same class.
e) The order of the matrix
Set having values is countable.
How many different signals are possible with 5 blue, 4 red, 3 white and 2 green flags by using all at a time in a queue?
Draw a histogram for the following data:
| Wages | 40-49 | 50-69 | 70-99 | 100-109 | 110-119 |
| No of workers | 2 | 20 | 60 | 35 | 4 |
If in a hall there are 10 randomly selected students then how many numbers of ways are there such that all of them have different birthday. Assume that all of them have their birthday in non-leap years.
A carpenter was hired to build 192 window frames. The first day he made five frames and each day thereafter he made two more frames than he made the day before. How many days he will take to finish his job?