Core concepts, Mathematics

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Some general facts about lines, First, larger the number (ignoring any minu...

First, larger the number (ignoring any minus signs) the steeper the line.  Thus, we can use the slope to tell us something regarding just how steep a line is. Next, if the slope

Prove that the poset has a unique least element, Prove that the Poset has a...

Prove that the Poset has a unique least element Prove that if (A, ) has a least element, then (A,≤)  has a unique least element. Ans: Let (A, ≤) be a poset. Suppose the po

Real and distinct roots, Now we start solving constant linear, coefficient ...

Now we start solving constant linear, coefficient and second order differential and homogeneous equations. Thus, let's recap how we do this from the previous section. We start alon

Examples on probability, 1. A machine comprises of three transformers A, B ...

1. A machine comprises of three transformers A, B and C. Such machine may operate if at least 2 transformers are working. The probability of each transformer working is given as di

How to convert percentages to decimals, Q. How to Convert Percentages to De...

Q. How to Convert Percentages to Decimals? Ans. Since percent stands for "hundredths", to write a percentage as a decimal you just need to find how many hundredths it repr

Power series and functions - sequences and series, Power Series and Functio...

Power Series and Functions We opened the previous section by saying that we were going to start thinking about applications of series and after that promptly spent the section

Find out the volume of the solid -y = (x -1) ( x - 3)2, Find out the volume...

Find out the volume of the solid obtained by rotating the region bounded by y = (x -1) ( x - 3) 2 and the x-axis about the y-axis. Solution Let's first graph the bounded r

Find out height of the box which will give maximum volume, We contain a pie...

We contain a piece of cardboard i.e. 14 inches by 10 inches & we're going to cut out the corners as illustrates below and fold up the sides to form a box, also illustrated below. F

Fraccions, multiply 9/19 times 95/7

multiply 9/19 times 95/7

Recursively, Let a 0 , a 1 ::: be the series recursively defined by a 0 =...

Let a 0 , a 1 ::: be the series recursively defined by a 0 = 1, and an = 3 + a n-1 for n ≥ 1. (a) Compute a 1 , a 2 , a 3 and a 4 . (b) Compute a formula for an, n ≥ 0.

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