Recent content by Milly

What is DE?

Liquid is flowing into a small tank which has a leak. Initially the tank is empty and, t minutes later, the volume of liquid in the tank is V cm3 . The liquid is flowing into the tank at a constant rate of 80 cm3 per minute. Because of the leak, liquid is being lost from the tank at a rate...

Helppp for part (ii). I got 3$e^{\frac{1}{6}\theta i}$

This is actually a past exam question. I got the answer but I don't know how to solve it.

It is not the right answer. The right answer is 2/9 p

I tried using $\frac{1}{13}$ x 30 + $\frac{12}{13}$ x $\frac{47}{51}$ x -10 but it didnt work.

I actually tried out by using 5P2 but it didn't work.

How to solve ii (b) ? Thanks in advance.

Ohhh i got it$\frac{{h}^{3}}{12}$$\pi$ Is equal to 1/12 $\pi$ So h is 1. Thank you so muchh!

$\frac{{h}^{3}\pi}{12}$...

$\frac{1}{4{r}^{2}}$ ? :/

I substituted h=2 and r=1 into V= $\frac{1}{3}$$\pi$${r}^{2}$h and get the original volume which is $\frac{2\pi}{3}$ and using the ans i found to find the height when the volume is one-eighth which i got is 1/4.

I have found dr/dh and dv/dr and substituted h=1/4 in and use them to find dh/dv. Then i multiplied dv/dh with dv/dt but i still cannot get the ans. :(

I have tried the volume i got is $\pi$/12 and the height i got is 1/4 but i have no idea where to fit them in.

The ans is 4. Could someone please help..thanks in advance. :)