(5 pts) If one wants to calculate π to an arbitrary number of decimal places, the best way to do this is to use a power series r
epresentation. In this problem we will derive a formula for this. (a) Find a power series representation of the function f(x) = tan−1 x. You can do this by noticing that tan−1 x = Z 1 1 + x 2 dx and integrating the power series representation of the right hand side term-byterm. Be sure to find the value of C. (b) Use the previous step to derive that π = 2√ 3 X[infinity] n
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Answer:
Nifal received $ 4 for washing the first car.
Nifal received $ 5 for washing the second car.
4 and 5 have a sum of 9.
Step-by-step explanation:
The problem can be rewritten as follows: Find the sum of two consecutive entire numbers equal to 9. That is:
Then, by eliminating y:
Now, let is clear :
Nifal received $ 4 for washing the first car.
The earning for the second car is: ()
Nifal received $ 5 for washing the second car.
4 and 5 have a sum of 9.