Dy/dx = dy/dt * dt/dx
xy = 4
y + x(dy/dx) = 0 by implicit differentiation.
x(dy/dx) = -y
dy/dx = -y/x
<span>dy/dx = dy/dt * dt/dx dy/dt = -2
</span>
<span>-y/x = -2 * dt/dx
</span>
y/(2x) = dt/dx
dt/dx = y/(2x)
dx/dt = 2x/y
When x = -3, xy = 4, y = 4/x = 4/-3 = -4/3
dx/dt = 2*-3/(-4/3) = -6 *-3/4 = 18/4 = 9/2 = 4.5
dx/dt = 4.5
An educated guess
In order to find this you need to use the right triangle formula and multiply the two.
Hope this helps!
3/4 of a pound is half of 1.5 pounds ( 3/4 + 3/4 = 1.5)
3.60 / 2 = $1.80
it will cost $1.80 for 3/4 of a pound
Answer:
![52.3m^2](https://tex.z-dn.net/?f=52.3m%5E2)
Step-by-step explanation:
Use these formulas
![A=\pi rl+\pi r^2\\l=\sqrt{r^2+h^2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20rl%2B%5Cpi%20r%5E2%5C%5Cl%3D%5Csqrt%7Br%5E2%2Bh%5E2%7D)
Now solve
![A=\pi r(r+\sqrt{h^2+r^2} )\\=\pi *2*(2\sqrt{6^2+2^2} )\\=52.3m^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%28r%2B%5Csqrt%7Bh%5E2%2Br%5E2%7D%20%29%5C%5C%3D%5Cpi%20%2A2%2A%282%5Csqrt%7B6%5E2%2B2%5E2%7D%20%29%5C%5C%3D52.3m%5E2)