Answer:
B
Step-by-step explanation:
Hence the inverse of f(x) which is f⁻¹(x) =√[(x-5)/3] is NOT a function
Only the inverse is a function.WRONG
Neither the equation nor its inverse is a function.WRONG
Only the equation is a function.RIGHT
Both the equation and its inverse are functions.WRONG
Y=x blue point of a number line
Answer:4
Step-by-step explanation:
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)
Answer:
13 books
Step-by-step explanation:
15 + 8 = 23
23-10=13