Search over 10,000 free study notes

First you must differentiate the given equation. This give you 20-2x-6x². Since we are told that one of the stationary points is at x=-2, this is one of the factors of the differential equation...

It all comes down to the how e is defined. e=1+(1/1!)+(1/2!)+(1/3!) all the way up to (1/infinity). e^x is equal to 1 + (x/1!)+((x^2)/2!)+((x^3/3!)) and again continues on to ((x^infinite)/factorial of in...

Step 1: Make a substitution for u=Sin(x) differentiate that function to show du/dx =Cos(x)Step 2: Rearrange for dx to show dx=1/Cos(x) du and replace the dx in your original integral to show (integral sym...

A logarithms are the 3rd way of representing the interactions between bases and powers.To start we will cover basic algebra about powers or exponents. base^{exponent <...}

A graph is always helpful when dealing with this kind of problems. The first thing to do when sketching is to find the intersection with the axis. Ignore the modulus function for the moment. Then flip wha...