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
Please consider the graph of the sphere.
We know that the volume of sphere is equal to
, where r represents radius of sphere.
We can see that diameter of sphere is 30 inches. We know that radius is half the diameter, so radius of the given sphere would be half of 30 inches that is
inches.
![V=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
![V=\frac{4}{3}\pi (15\text{ in})^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%2815%5Ctext%7B%20in%7D%29%5E3)
![V=\frac{4}{3}\pi \times 3375\text{ in}^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%5Ctimes%203375%5Ctext%7B%20in%7D%5E3)
![V=4\times 1125\pi \text{ in}^3](https://tex.z-dn.net/?f=V%3D4%5Ctimes%201125%5Cpi%20%5Ctext%7B%20in%7D%5E3)
![V=4500\pi \text{ in}^3](https://tex.z-dn.net/?f=V%3D4500%5Cpi%20%5Ctext%7B%20in%7D%5E3)
Therefore, the volume of the given sphere is
and option B is the correct choice.
100 vitamins/2 a day=50 days 50 days/30 days in a month (assumedly)= 5/3 months 1.66
Answer:
Hi! The correct answer is $7.5
Step-by-step explanation:
<em><u>~to find the price of 1 seperate thing divide price by the amount that has been bought~</u></em>
Answer:
1) 250 meters= 0.25 km
2) 12 meters= 0.012km
3) 1 meter= 0.001 km
The constant of proportionality is 1000 meters in 1km (1000 meters)
I think there’s a mistake on the second part because 1 meter does not equal to 1000km. but I did part 1 for you!