Answer:
![\dfrac{1}{2}\dfrac{sin y}{cos^2y}+\dfrac{1}{4}ln[\dfrac{siny +1}{siny-1}]=\dfrac{x^3}{3}+c](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%5Cdfrac%7Bsin%20y%7D%7Bcos%5E2y%7D%2B%5Cdfrac%7B1%7D%7B4%7Dln%5B%5Cdfrac%7Bsiny%20%2B1%7D%7Bsiny-1%7D%5D%3D%5Cdfrac%7Bx%5E3%7D%7B3%7D%2Bc)
Step-by-step explanation:
given,
y' = x² (cos y)³
solve the equation using variable separable method
here sin y = t : cos y = dt
![\int(\dfrac{1}{2}{[\dfrac{1}{t-1}-\dfrac{1}{t+1}]}^2 = \dfrac{x^3}{3}+c\\\dfrac{1}{4}\int [\dfrac{1}{(t-1)^2}-\dfrac{1}{t-1}+\dfrac{1}{t-1}+\dfrac{1}{(t+1)^2}]= \dfrac{x^3}{3}+c](https://tex.z-dn.net/?f=%5Cint%28%5Cdfrac%7B1%7D%7B2%7D%7B%5B%5Cdfrac%7B1%7D%7Bt-1%7D-%5Cdfrac%7B1%7D%7Bt%2B1%7D%5D%7D%5E2%20%3D%20%5Cdfrac%7Bx%5E3%7D%7B3%7D%2Bc%5C%5C%5Cdfrac%7B1%7D%7B4%7D%5Cint%20%5B%5Cdfrac%7B1%7D%7B%28t-1%29%5E2%7D-%5Cdfrac%7B1%7D%7Bt-1%7D%2B%5Cdfrac%7B1%7D%7Bt-1%7D%2B%5Cdfrac%7B1%7D%7B%28t%2B1%29%5E2%7D%5D%3D%20%5Cdfrac%7Bx%5E3%7D%7B3%7D%2Bc)
Answer:
Two tailed test
Test statistic = 3.20
Pvalue = 0.001
H1 : p ≠ 0.91
Step-by-step explanation:
Given :
Test of p=0.91 vs p≠0.91
The use if not equal to ≠ sign in the null means we have a tow tailed test, which means a difference exists in the proportion which could be lesser or greater than the stated population proportion.
The test statistic :
This is the Z value from the table given = 3.20
The Pvalue = 0.001
Since Pvalue < α ;Reject H0
Answer: Divide using synthetic division. If the remainder is 0, then x+2 is a factor.
x+2 is not a factor.
I put your question into a website, I don't know if that will help you but that's the best I can do, I don't even know the answer
Answer:
20,000.
Step-by-step explanation:
The first music player has 500 songs stored by 2 GB. So 500/2 is 250. You take 250 and you multiply it by 80 and you get 20,000.
