The tangent line to the curve has slope equal to
at the point (2, -1). We have, by implicit differentiation,
![3y^2-6xy=2x+11\implies6y\dfrac{\mathrm dy}{\mathrm dx}-6y-6x\dfrac{\mathrm dy}{\mathrm dx}=2](https://tex.z-dn.net/?f=3y%5E2-6xy%3D2x%2B11%5Cimplies6y%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D-6y-6x%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D2)
![\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2+6y}{6y-6x}=\dfrac{1+3y}{3y-3x}](https://tex.z-dn.net/?f=%5Cimplies%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D%5Cdfrac%7B2%2B6y%7D%7B6y-6x%7D%3D%5Cdfrac%7B1%2B3y%7D%7B3y-3x%7D)
At the point (2, -1), the slope is then 2/9, so the tangent line has equation
![y-(-1)=\dfrac29(x-2)\implies y=\dfrac29x-\dfrac{13}9](https://tex.z-dn.net/?f=y-%28-1%29%3D%5Cdfrac29%28x-2%29%5Cimplies%20y%3D%5Cdfrac29x-%5Cdfrac%7B13%7D9)
58 degrees
When does the square inside the angle that means it is a right angle and a right angle is 98° So all you need to do is 90-32
Answer:
Key characteristics include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
Step-by-step explanation:
I don't really know how to help on this but I hope of you know what key characteristics are you'll understand what to dom
Answer:
y=-500x+22,000
Step-by-step explanation:
It's this one because the 22,000 shows the initial value of the automobile and -500x is how much value the automobile loses per year.