MATH 113 Final: MATH 113 BYU FinalF2007
Document Summary
Instructions: work on scratch paper will not be graded, for questions 10 to 17, show all your work in the space provided full credit will be given only if the necessary work is shown justifying your answer. Please write neatly: should you have need for more space than is alloted to answer a question, use the back of the page the problem is on and indicate this fact, simplify your answers. Expressions such as ln(1), e0, sin( /2), etc. must be simpli ed for full credit: calculators are not allowed. Fill in the blank with the appropriate answer: (10 points, let y = f (x) for x [a, b] . Xn=1 n2 n4 + 1: what is the radius of convergence of the series. 4n n xn: the integral r 0 dx. 1+x2 equals: here is an antiderivative: r antiderivative. Tell what substitution to use in order to nd this: the integral z 1.
