The geometric series ' (for |x| < 1) is particularly useful, as its sum, 1- x can be related to n=0 many other functions. Using this, find a power series (centred at 0) representation of arctan(x), and determine the x-values for which this is valid. Hint: integrating or differentiating may be required.

Q: Greg knows that he requires between 5 and 7 minutes to answer a question on his physics tests. It he…

A: Greg knows that,he requires between 5 and 7 minutes to answer a question on his physics tests.He is…

Q: 1. Solve using substitution 2x + y = 14   3x - 2y = 7

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Q: Solve. X+y +z = - 11 2x + y-z = - 13 X-y +z = 1

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Q: Give equation

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Q: . During a magic trick, a magician shows the audience 3 closed bags. Each bag contains an equal…

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Q: Each part describes a rectangle. Please symbolize and solve for each rectangle’s dimensions. (a)…

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Q: 9. Ms. Pryce has 82 books. She puts 10 of them in her desk. The rest will go in her bookcases. One…

A: Given: The total number of books Ms. Pryce has 82. The number of bookshelves =2+4=6 Let the number…

Q: Step C: Use your equation to determine the how many minutes it would take to completely fill the…

A: Given: A table that shows the amount of gallons of water 'w' that was in the tank after 'm' minutes.…

Q: -7 4 3+y 2 1 -6 -5 -4 -3 -2 -1 -1 -2 -5 1 2 4 X 5

A: To write the equation of the following graph.

Q: Solve each equation

A: To solve the given equations.

Q: 10. Carmen has already driven 300 miles. She plans to drive 240 miles per day, for each of the…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.