5. Calculate S dx a) using partial fractions b) using the substitution w = 1 – x² (verify that you got the same answer!)

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Q: detailed

A: Please refer to the image below

Q: can you show your work on the paper so i can understand

A: To prove:liminfn→∞​yn​⋅(limsupn→∞​yn​xn​​)≤limsupn→∞​xn​ Given that  (xn) and (yn) are two positive…

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Q: True of False? The recurrence relation is defined as follows: an = 3an-1 + 2an-2; ao = 0, a1 = 1…

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Q: can you do the rest of the missing parts

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A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: Prove or disprove that if a and b are rational numbers, then ab is also rational.

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Q: Prove lim(3x–10) =-4 using the ɛ, d definition of a limit. 2

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.