Answer:
A) -2
Step-by-step explanation:
The form is indeterminate at x=0, so L'Hopital's rule applies. The resulting form is also indeterminate at x=0, so a second application is required.
Let f(x) = x·sin(x); g(x) = cos(x) -1
Then f'(x) = sin(x) +x·cos(x), and g'(x) = -sin(x).
We still have f'(0)/g'(0) = 0/0 . . . . . indeterminate.
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Differentiating numerator and denominator a second time gives ...
f''(x) = 2cos(x) -sin(x)
g''(x) = -cos(x)
Then f''(0)/g''(0) = 2/-1 = -2
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I like to start by graphing the expression to see if that is informative as to what the limit should be. The graph suggests the limit is -2, as we found.
We know that the sum of all the exterior angles will add up to 360°.
We can solve this using an expression:
360/n
n = the number of sides (in the problem, we are given 19 sides)
Solve with the given value:
360/19
18.947368
Round to the nearest tenth:
18.947368 → 18.9
Therefore, the answer is 18.9
Best of Luck!
The second one is the correct answer
Answer:
5.70%
Step-by-step explanation:
Correct word <em>"We turned a $25,000 investment of money in 1982 into $100,000 in 2007." What return (interest rate) did they really earn on their investment?</em>
No of years(1982 to 2007) = 25 years
The average annual return is R%, so $25,000 * (1 + R)^25 = $100,000
(1 + R)^25 = $100,000 / $25,000
(1 + R)^25 = 4
<em>We take 25th root on each side</em>
(1 + R)^(25*1/25) = 
1 + R = 1.0570
R = 1.0570 - 1
R = 0.057
R = 5.70%
So, the return (interest rate) they really earn on their investment is 5.70%.
