Evaluate the following:
b)
Using the standard reduction for ∫P(x)e^{ax}dx: ∫x²e^{2x}dx _________ __________ ____ ______ _____ __________ _________ __________ ________ ____.
___ ________ ______ __________ __________ ____ _______ __________ ______ ___ __________ _______.
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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?
Find the values of a and b, if the function f given below is continuous at x=2
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?
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
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
Write whether the following data are discrete or continuous. Give reason in support of your answer.
i) Number of children in a family in a colony of 100 families.
Number of pages in each of the 50 books having some mistake.
Height of students of IGNOU who enrolled in 2021.
iv) Waiting time of metro when a person reaches metro station.
v) Monthly income of the family.
Write flow charts of Cramer rule and matrix method.