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Determine if the following series converges or diverges by using limit comparison test. Solution To make use of the limit comparison test we require to find out a seco
Rolle's Theorem Assume f(x) is a function which satisfies all of the following. 1. f(x) is continuous in the closed interval [a,b]. 2. f(x) is differentiable in the ope
simplify mn+mp+nq+pq /n+p
Exponential Functions : We'll begin by looking at the exponential function, f ( x ) = a x We desire to differe
Shirts numbered consecutively from 1 to 20 are worn by 20 members of a bowling league. While any three of these members are selected to be a team, the league aims to use the sum of
how to find
The Laplace method Laplace method employs all the information by assigning equal probabilities to the possible payoffs for every action and then selecting such alternative whic
sin (cot -1 {cos (tan -1 x)}) tan -1 x = A => tan A =x sec A = √(1+x 2 ) ==> cos A = 1/√(1+x 2 ) so A = cos -1 (1/√(1+x 2 )) sin (cot -1 {cos (tan -1 x)}) = s
The square of a positive number is 49. What is the number? Let x = the number. The sentence that is , "The square of a positive number is 49," translates to the equation x 2
ABCD is a trapezium AB parallel to DC prove square of AC - square of BCC= AB*
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