Search over 10,000 free study notes

This is a quadratic equation of the form ax^2 + bx +c, where (t-1)=a 4=b . (t-5)=0 Therefore if there are no real roots, you get that b^2-4ac<0. (using the quadratic formula)

First plug in valu...

This is a good candidate for integration by parts because it is a product of two functions – ln(x) and x^3, and x^3 is easy to integrate. The definition for integration by parts is: integral(u dv/dx) d...

For both parts you have to remember some of the properties of powers. Rule 1: x^0 = 1. Rule 2: x^(-n) = 1/(x^n). Rule 3: x^(1/n) = n-th root of x. For part (i) we can use rule 1 to see that 200^0 = 0. For...

To be able to solve this, the equation needs to be integrated. To do this, increase the power by 1 and divide by the new power.

The equation below is equal to that given in the question

y = ...

There are few ways to carry out the following question. Elimination and substitution are the two main methods. To carry out elimination you will need to focus on the similar terms, in the question this wo...