Answer: -2 - (-7)
Step-by-step explanation: They both have the same outcome, 5. Which one is negative and one is positive. The last option is correct.
Consider expanding the right hand side as
![y=\sqrt[3]{\dfrac{x(x-2)}{x^2+1}}=x^{1/3}(x-2)^{1/3}(x^2+1)^{-1/3}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7Bx%28x-2%29%7D%7Bx%5E2%2B1%7D%7D%3Dx%5E%7B1%2F3%7D%28x-2%29%5E%7B1%2F3%7D%28x%5E2%2B1%29%5E%7B-1%2F3%7D)
Then taking the logarithm of both sides and applying some properties of the logarithm, you have
Now differentiate both sides with respect to 
:
![\dfrac{\mathrm dy}{\mathrm dx}=\dfrac23\dfrac{x^2+x-1}{x(x-2)(x^2+1)}\sqrt[3]{\dfrac{x(x-2)}{x^2+1}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D%5Cdfrac23%5Cdfrac%7Bx%5E2%2Bx-1%7D%7Bx%28x-2%29%28x%5E2%2B1%29%7D%5Csqrt%5B3%5D%7B%5Cdfrac%7Bx%28x-2%29%7D%7Bx%5E2%2B1%7D%7D)
Answer:
Oh! We should start with finding the lngths of the "curvy sides". As you can see there are 2 semi circles which we can combine to make one circle with a diameter of 7. The formula for the circumference of the circle is 2πr which is also equal to the diameter x π. SO the circumeference is 7π which is this case equals 22 since they are telling us to use π as 22/7. I'm not sure about the rest but I hope this helped a little!!
Step-by-step explanation:
C) 3/5 because they tossed the coin 5 times and out of those 5 times, 3 of them landed with different sides
