Find a power series representation for the function. determine the interval of convergence. (give your power series representation centered at x = 0.) f(x) = 5 2 − x

I'm guessing the function is

whose first few derivatives are

with a general pattern of

Then has power series (centered at 0)

which is a geometric series, converging only for

(this is the interval of convergence)

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If you know that for

then we can derive the same series by manipulating this result:

the answer is 3,600,000 cubic centimeters

step-by-step explanation:

first you have to convert all the units into centimeters

2 meters = 200 centimeters

1.5 meters = 150 centimeters

to find the volume of a rectangular prism you multiply all the sides

120 * 200 * 150 = 3,600,000

the answer is 3,600,000 cubic centimeters

hope this !

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.