Answer:
The integral
is 0.
Step-by-step explanation:
A parameterization of curve C can be:
X (t) = cost 0 <= t <= pi
Y (t) = sint 0 <= t <= pi
r (t) = costi + sintj
r '(t) = -sinti + costj
![Fds = [-costsin^3t + sintcos^3t] dt](https://tex.z-dn.net/?f=Fds%20%3D%20%5B-costsin%5E3t%20%2B%20sintcos%5E3t%5D%20dt)
The integral
is given by:
![\int _0^{\pi }\left[-costsin^3t + sintcos^3t dt\right]dt](https://tex.z-dn.net/?f=%5Cint%20_0%5E%7B%5Cpi%20%7D%5Cleft%5B-costsin%5E3t%20%2B%20sintcos%5E3t%20dt%5Cright%5Ddt)

Answer:
x = ± <u>-2</u>
<u>_</u>
3
Step-by-step explanation:
Combine Like Terms - 2x(3x) = 16
Calculate - 6x² = 16
Divide - x² = 8/3
Simplify - x = ± <u>-2</u>
<u>_</u>
3
Hello there!
Well, we can use a graphing calculator for that.
y < x² + 4x
See the attachment below....
Let me know if you have more questions. As always, it is my pleasure to help students like you.
I THINK THE ANSWER IS (2,2)