Properties of definite integral, Properties 1.  ∫ b a f ( x ) dx = -∫ ...

Properties 1.  ∫ b a f ( x ) dx = -∫ b a f ( x ) dx .  We can interchange the limits on any definite integral, all that we have to do is tack a minus sign onto the integral

Arithmetic sequences and series,

Partial Differentiation, If the sides angles of a triangle ABC vary in such...

If the sides angles of a triangle ABC vary in such a way that it''s circum - radius remain constant. Prove that, da/cos A +db/cos B+dc/cos C=0

How much did sally earn if she worked 48 hours, Sally gets paid x dollars p...

Sally gets paid x dollars per hour for a 40-hour work week and y dollars for every hour she works over 40 hours. How much did Sally earn if she worked 48 hours? Since she worke

Conditional probability: dependent events, We can define the conditional pr...

We can define the conditional probability of event A, given that event B occurred when both A and B are dependent events, as the ratio of the number of elements common in both A an

Travel time, you are driving on a freeway to a tour that is 500 kilometers ...

you are driving on a freeway to a tour that is 500 kilometers from your home. after 30 minutes , you pass a freeway exit that you know is 50 kilometer from your home. assuming that

Absolute convergent, Find out if each of the subsequent series are absolute...

Find out if each of the subsequent series are absolute convergent, conditionally convergent or divergent. Solution: (a) The above is the alternating harmonic ser

Illustration of integration by parts - integration technique, Example of In...

Example of Integration by Parts - Integration techniques Some problems could need us to do integration by parts many times and there is a short hand technique that will permit

Define markov chain, Define Markov chain Random processes with Markov ...

Define Markov chain Random processes with Markov property which takes separate values, whether t is discrete or continuous, are known as Markov chains.

Bcg matrix assignment, what is the lower levl of produc for MCB bank

what is the lower levl of produc for MCB bank