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By the chain rule ds/dt = ds/dr * dr/dv * dv/t. At a height of r, the water fills a hemisphere. So ds/dr = 6pir. dr/dv = 1/(dv/dr), so we need to find dv/dr. Students should have the formula for the v...
Firstly, you would need to figure out what formula you can use to solve this problem. You know the radius and area of the sector, and you need to find the angle. So, the correct equation to use would be t...
The first step to solving this is equation is to notice that the equation is of a similar to the form of a quadratic equation: ay^2 + by + c = 0 where a, b and c are constants. Next we introduce a new va...
Let u = x2+4x+2 so y = ln(u).
Then dy/du = 1/u and du/dx = 2x+4.
Using the chain rule we have:
dy/dx = (dy/du)*(du/dx)
= (1/u)*(2x+4)
= (2x+4)/(x2+...
In order to find the nth term of a sequence you need to keep the structure of the nth term sequence in mind (dn+x). The first thing we want to do is find 'd'. In this case 'd' stands for difference, which...
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