MATH 141 Study Guide - Final Guide: Ibm System P, Taylor Series, Ratio Test

• School: University of Maryland
• Department: Mathematics
• Course: MATH 141
• Professor: Nathan Manning

Document Summary

The disc method works the same way, but there is only one function. The shell method is needed when a solid revolves about the y-axis. The other methods are for x- axis revolutions. When finding parametric curves to trigonometric functions use the formula: Their common parametric equations are x=r cos(t) and y=r sin(t) When f(x) and g(x) take shape in these forms, their limit cannot be analyzed. Some equations like f(x)= x*lnx need to be converted into before l"hopital"s rule can be used. When there is no second function, then multiply the function by 1, so the function is the product. Write the rest of the integral in forms of sin x. Write the rest of the function in terms of cos(x). If m and n are even, then reduce to smaller powers of m or n. Write the rest of the integral in terms of tan(x).