conclusion of binomial theorem

Conclusion - In this chapter we have studied the method of evaluating probabilities of events relating to independent events and conditional events. We have also studied about random variables and their probability distributions, namely binomial distribution and Poisson distribu..

Conclusion - In this chapter we have learnt the application of derivatives to rate measure, also we have used the geometrical measurement of to find the equations of the tangent and normal to a curve at any point on the curve, angle of intersection of the curves. The derivatives also help..

If two statements are such that the hypothesis of one is the conclusion of the other and vice-versa then either of the statement is said to be the converse of the other..

Use binomial theorem to find the expansion of ( x 2 + 2) 4 . => x 8 + 8x 6 + 24x 4 + 32x 2 + 16 or x 8 + 8x 5 + 24x 4 + 24x 2 + 8 or x 8 + 8x 5 + 24x 4 + 24x 2 + 8 or x 8 + 16..

Write the expansion of ( x 2 + 2) 4 using the binomial theorem. => x 8 + 1 6 or x 8 + 8 x 6 + 2 4 x 4 + 3 2 x 2 + 1 6 or ( x 2 + 4)( x 2 + 4)( x 2 + 4)( x 2 + 4) or x 8 + 8 x 5 + 2 4 x 4 + 2 4 x 2 + 1 6..

Use binomial theorem to find the expansion of (2 x + 3 y ) 3 . => 8x 3 + 36x 2 y + 54xy 2 + 27y 3 or x 3 + 18x 2 y + 18xy 2 + y 3 or 8x 3 + 36x 2 y + 36xy 2 + 27y 3 or 8x 3 + 27y 3..

Use binomial theorem to find the expansion of (2 x - y ) 4 . => 16 x 4 - 32 x 3 y + 24 x 2 y 2 - 8 xy 3 + y 4 or 16 x 4 - 32 x 3 y - 24 x 2 y 2 - 8 xy 3 - y 4 or 16 x 4 + y 4 or 16 x 4 - y 4..

Use binomial theorem to write the expansion of (2 x - y ) 4 . => 1 6 x 4 + 3 2 x 2 y + 2 4 x 2 - 8 x y 3 or 1 6 x 4 - 3 2 x 3 y + 2 4 x 2 y 2 - 8 x y 3 + y 4 or 1 6 x 4 - 3 2 x 3 y - 2 4 x 2 - 8 x y 3 - y 4 or None of the above..

Find the value of c that satisfies the conclusion of the mean value theorem for the function f ( x ) = ln x in [1, e ]. => e + 1 or e + 1 2 or e - 1 or e..

Find the value of c that satisfies the conclusion of the mean value theorem for the function f ( x ) = sin x in [0, π ]. => π 6 or π 2 or π 3 or π 4..