Answer:
4x-18
Step-by-step explanation:
-6(-x + 3)–2x
first u expand =6x-18-2x
then u add up the like terms
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:
Step-by-step explanation:
<u>As per question we have:</u>
- p > 0, q > 0
- 31p/8q ≤ 5 ⇒ 31p ≤ 40q
Since 31 and 40 have no common factors, the minimum values of p and q are 40 and 31 respectively.
<u>So the minimum value of p + q is:</u>
Answer: 24
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