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What is Pythagorean Triples?
A set of three numbers a, b, and c that can satisfy the equation
A2+b2= c2, is called a Pythagorean triple. The following is a list of some Pythagorean triples: n is any natural number (n= 1,2,3) Example 1: Given a right triangle, where a=6 and b=8, find side c, using Pythagorean triplets. If you factor 2 out of 6 (2 x 3) and 2 out of 8 (2 x 4), you get 3 and 4. These results are part of the Pythagorean triplet (3, 4, 5). The 3 sides match the triplet (3, 4, 5) by a multiple of 2.c = 2.5=10. Example 2: Given a right triangle, where a=15 and c=39, find b, using Pythagorean triplets. The greatest common factor in 15 and 39 is 3. Factor 3 out of 15 and out of 39, giving you 5 and 13. 5 and 13 are part of the Pythagorean triplet: (5, 12, 13). The missing number is 12 multiplied by 3.B= 3.12 =36
Series Solutions to Differential Equations Here now that we know how to illustrate function as power series we can now talk about at least some applications of series. There ar
Optimization : In this section we will learn optimization problems. In optimization problems we will see for the largest value or the smallest value which a function can take.
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Example of 3-D Coordinate System Example: Graph x = 3 in R, R 2 and R 3 . Solution In R we consist of a single coordinate system and thus x=3 is a point in a 1-D co
12. List the merits and limitations of using North West corner rule.
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Determine or find out the domain of the subsequent function. r → (t) = {cos t, ln (4- t) , √(t+1)} Solution The first component is described for all t's. The second com
Recall also which value of the derivative at a specific value of t provides the slope of the tangent line to the graph of the function at that time, t. Thus, if for some time t the
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