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a box contains 12 balls out of which x are black if one ball is drawn at random from the box what is the probability that it will be a black ball if
evaluate the subsequent integralint tan xsec4 x sec4 x dxsolutionthis kind of integral approximately falls into the form given in 3c it is a
a bag contains 5 red balls and some blue balls if the probability of drawing a blue ball is double that of a red ball determine the number of blue
steps for integration strategy1 simplify the integrand if possiblethis step is vital in the integration process several integrals can be taken from
why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a foot ball matchans equally likely
a die is thrown repeatedly until a six comes up what is the sample space for this experiment hint a 6 b12345ans the sample space is a ba bba bbba
now that weve found some of the fundamentals out of the way for systems of differential equations its time to start thinking about how to solve a
a card is drawn from a well shuffled deck of cardsi what are the odds in favour of getting spade ans 13 31 310 125ii what are the odds against
write the subsequent 2nd order differential equation as a system of first order linear differential equations2 yprimeprime - 5 yprime y 0 y 3
in the introduction of this section we briefly talked how a system of differential equations can occur from a population problem wherein we remain
integrals involving roots - integration techniquesin this part were going to look at an integration method that can be helpful for some integrals
factors in denominator and partial fraction decompositionfactor in denominatorterm in partial fraction decomposition ax baax b ax b
partial fraction decompositionthe procedure of taking a rational expression and splitting down it into simpler rational expressions which we can add
if you find nothing out of this rapid review of linear algebra you should get this section without this section you will not be capable to do any
example of integrals involving trig functionsexample estimate the following integralint sin5 x dxsolutionthis integral no longer contains the cosine
integrals involving trig functions - integration techniquesin this part we are going to come across at quite a few integrals that are including trig
example of integration by parts - integration techniquesillustration1 evaluate the following integralint xe6x dxsolution thus on some level the
here we need to see the inverse of a matrix provided a square matrix a of size n x n if we can get the other matrix of similar size b thatab ba in
integration by parts -integration techniqueslets start off along with this section with a couple of integrals that we should previously be able to do
integration techniquesin this section we are going to be looking at several integration techniques and methods there are a fair number of integration
a girl has 25 plants in all 8 of them are tomatos she has 10 more bean plants than pepper plants how many pepper plants does she
a bag contains 8 red balls and x blue balls the odd against drawing a blue ball are 2 5 what is the value of
a box contains 12 balls out of which x are black if one ball is drawn at random from the box what is the probability that it will be a black ball
an integer is chosen at random from the first two hundreds digit what is the probability that the integer chosen is divisible by 6 or
in the graphical representation of a frequency distribution if the distance between mode and mean is k times the distance between median and mean