A water hose had filled up 1⁄3 of a pool after 1⁄2 of an hour. At this rate, how many hours would it take to fill the pool?
2 answers:
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Well, "minus 6 x cubed minus y squared minus 3 x y" translates to:
Then, if we insert the values for x and y, we get:
When we distribute and multiply:
And once we combine like terms:
104<em> is the answer</em>
Solution:
The three powers whose value is greater than 500 and less than 550 can be find by following procedure.
We will solve this problem by Hit and trial method by finding the squares, cubes, fourth power, Fifth Power,...etc. of different natural numbers.
23²= 529
8³ = 8 × 8 × 8 =512
The three powers are →→→Eighth power of 2, Square of 23, and Cube of 8.
Compute the necessary values/derivatives of at
:
Taylor's theorem then says we can "approximate" (in quotes because the Taylor polynomial for a polynomial is another, exact polynomial) at
by
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Another way of doing this would be to solve for the coefficients in
by expanding the right hand side and matching up terms with the same power of .