Parameterize
![C](https://tex.z-dn.net/?f=C)
by
![\mathbf r(t)=(x(t),y(t))=(1-t)(7,3)+t(0,0)=(7-7t,3-3t)](https://tex.z-dn.net/?f=%5Cmathbf%20r%28t%29%3D%28x%28t%29%2Cy%28t%29%29%3D%281-t%29%287%2C3%29%2Bt%280%2C0%29%3D%287-7t%2C3-3t%29)
where
![0\le t\le1](https://tex.z-dn.net/?f=0%5Cle%20t%5Cle1)
. Then
![\mathrm d\mathbf r=(-7\,\mathbf i-3\,\mathbf j)\,\mathrm dt](https://tex.z-dn.net/?f=%5Cmathrm%20d%5Cmathbf%20r%3D%28-7%5C%2C%5Cmathbf%20i-3%5C%2C%5Cmathbf%20j%29%5C%2C%5Cmathrm%20dt)
and the line integral is equivalent to
![\displaystyle\int_C(4y^2\,\mathbf i+x\,\mathbf j)\cdot\mathrm d\mathbf r=\int_0^1(4(3-3t)^2\,\mathbf i+(7-7t)\,\mathbf j)\cdot(-7\,\mathbf i-3\,\mathbf j)\,\mathrm dt](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_C%284y%5E2%5C%2C%5Cmathbf%20i%2Bx%5C%2C%5Cmathbf%20j%29%5Ccdot%5Cmathrm%20d%5Cmathbf%20r%3D%5Cint_0%5E1%284%283-3t%29%5E2%5C%2C%5Cmathbf%20i%2B%287-7t%29%5C%2C%5Cmathbf%20j%29%5Ccdot%28-7%5C%2C%5Cmathbf%20i-3%5C%2C%5Cmathbf%20j%29%5C%2C%5Cmathrm%20dt)
r is equal to all numbers from -infinity to infinity.
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Answer:
15%
Step-by-step explanation:
To find the percent increase, use the equation:
percent of increase=<u>amount of increase</u>
original amount
The amount of increase is 92-80 = 12. The original amount of 80; this gives us
12/80 = 0.15 = 15%
Your answer would be scalene. Have a great day!
Short Answer: AB
Argument
Take F to be the center. The line segment that IS a diameter or radius must either go through F (that would make the line a diameter) or to be a radius the segment mus end in F and touch the circumference once. See below.
The diameter must not only go through F, it must touch the circumference in two places. EFB is a diameter. So is AFC
The radius must have 1 endpoint at the center and one endpoint on the circumference. DF is a radius.
So what isn't? Answer: AB isn't. It neither goes through F nor is F one of the end points.
Answer: AB