Answer:
0.44290869
Step-by-step explanation:
The Maclaurin series for sin⁻¹(x) is given by
sin⁻¹(x) = x +
![\frac{1.3.5...(2n - 1)}{2.4.6...(2n)} * \frac{x^{2n + 1} }{2n + 1}](https://tex.z-dn.net/?f=%5Cfrac%7B1.3.5...%282n%20-%201%29%7D%7B2.4.6...%282n%29%7D%20%2A%20%5Cfrac%7Bx%5E%7B2n%20%2B%201%7D%20%7D%7B2n%20%2B%201%7D)
Use the first five terms of the Maclaurin series above to approximate sin⁻¹
. (Round your answer to eight decimal places.)
Answer
sin⁻¹(x) = x +
![\frac{1.3.5...(2n - 1)}{2.4.6...(2n)} * \frac{x^{2n + 1} }{2n + 1}](https://tex.z-dn.net/?f=%5Cfrac%7B1.3.5...%282n%20-%201%29%7D%7B2.4.6...%282n%29%7D%20%2A%20%5Cfrac%7Bx%5E%7B2n%20%2B%201%7D%20%7D%7B2n%20%2B%201%7D)
in the above equation
summation from n=1 to ∞
we are estimating this for the first 5 terms as follows
sin⁻¹(x) = x +
+
+
+
sin⁻¹(x) = x +
+
+
+
now to get
sin⁻¹(
) substitute
hence,
sin⁻¹(
) =
sin⁻¹(
) = 0.42857142 + 0.01311953 + 0.00108437 + 0.00011855 + 0.00001482
= 0.44290869
Answer:
90 is the right answer
Step-by-step explanation:
because it give the value pf o is tan o
Answer:
946 milliliter can
Step-by-step explanation:
She should consider how much is in it. Which one will last longer and is better. The bigger can has more in it so that one should be bought.
Hope this helps!
Question
Factor 10h+30+50j to identify the equivalent expressions. Choose 2 answers:
Answer:
See Explanation
Step-by-step explanation:
Given
10h+30+50j
Required
Factorize
The options of the questions were not give. However, I'll answer this question to give possible equivalent factors.
To factorize means, we reduce to lowest term.
Looking at individual unit of 10h+30+50j , one'll observe that 5 can divide through.
This gives
![5(\frac{10h}{5}+\frac{30}{5} +\frac{50j}{5})](https://tex.z-dn.net/?f=5%28%5Cfrac%7B10h%7D%7B5%7D%2B%5Cfrac%7B30%7D%7B5%7D%20%2B%5Cfrac%7B50j%7D%7B5%7D%29)
Simplify the expression in brackets
![5(2h + 6 +10j)](https://tex.z-dn.net/?f=5%282h%20%2B%206%20%2B10j%29)
Another factor can be gotten by dividing 10h+30+50j through by 10. This gives
![10(\frac{10h}{10}+\frac{30}{10} +\frac{50j}{10})](https://tex.z-dn.net/?f=10%28%5Cfrac%7B10h%7D%7B10%7D%2B%5Cfrac%7B30%7D%7B10%7D%20%2B%5Cfrac%7B50j%7D%7B10%7D%29)
![10(h + 3 +5j)](https://tex.z-dn.net/?f=10%28h%20%2B%203%20%2B5j%29)
Another factor can be gotten by dividing 10h+30+50j through by 2. This gives
![2(\frac{10h}{2}+\frac{30}{2} +\frac{50j}{2})](https://tex.z-dn.net/?f=2%28%5Cfrac%7B10h%7D%7B2%7D%2B%5Cfrac%7B30%7D%7B2%7D%20%2B%5Cfrac%7B50j%7D%7B2%7D%29)
![2(5h + 15 +25j)](https://tex.z-dn.net/?f=2%285h%20%2B%2015%20%2B25j%29)
Hence, the possible factors that can be gotten from 10h+30+50j are
![5(2h + 6 +10j)](https://tex.z-dn.net/?f=5%282h%20%2B%206%20%2B10j%29)
![10(h + 3 +5j)](https://tex.z-dn.net/?f=10%28h%20%2B%203%20%2B5j%29)
![2(5h + 15 +25j)](https://tex.z-dn.net/?f=2%285h%20%2B%2015%20%2B25j%29)