fractions, Mathematics

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what is 3/10-2/13

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Complex numbers, express the complex number z=5+i divide 2+3i in the form ...

express the complex number z=5+i divide 2+3i in the form a+ib

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Determine the eigenvalues and eigenvectors of the subsequent matrix. Solution : The first thing that we require to do is determine the eigen-values. It means we require

What is the purpose of the reparameterisation, We have independent observat...

We have independent observations Xi, for i = 1, . . . , n, from a mixture of m Poisson distributions with component probabilities d c and rates l c, for c = 1, . . . ,m. We decid

Gauss-siedel or newton-rapson method, A one-line diagram of a simple three-...

A one-line diagram of a simple three-bus power system is shown in Figure 1 with generation at bus 1. The magnitude of voltage at bus 1 is adjusted to 1.05 per unit. The scheduled l

PROBLEM SOLVING, The perimeter of a rectangular swimming pool is 60m. The l...

The perimeter of a rectangular swimming pool is 60m. The length of the pool is 4 m more than the width. What is the width of the pool?

Example of learning to count, A parent shows his child four pencils. He pla...

A parent shows his child four pencils. He places them in a row in front of her and says "one" as he points to the first pencil, "two" as he points to the second one, "three" as he

Business applications, Business Applications In this section let's tak...

Business Applications In this section let's take a look at some applications of derivatives in the business world.  For the most of the part these are actually applications wh

Sin[cot-1{cos(tan-1x)}], sin (cot -1 {cos (tan -1 x)}) tan -1 x = A  ...

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 cost of renting a bike at the local bike is y = 2x + 2, The cost of re...

The cost of renting a bike at the local bike shop can be represented through the equation y = 2x + 2, where y is the total cost and x is the number of hours the bike is rented. Whi

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