MATH 131 Midterm: MATH131 Practice Midterm 1 2010 Fall

• School: UMASS-Amherst
• Department: Mathematics
• Course: MATH 131
• Professor: All

Document Summary

), show your work for every limit, please. Draw a graph which shows your results: compute the vertical and horizontal asymptotes for the function f(x) =(cid:112) x2 + x + 1 (cid:112) x2 x. Draw a graph which shows your results: compute the vertical and horizontal asymptotes for the function x2 + 4x + 1 x f(x) =(cid:112) To do this you will have to compute several limits, show your work for every limit, please. Show all your work: find numbers a and b such that ax + b 2 x lim x 0. = 1: using the appropriate di erentiation rules compute the derivative of. 3 x + 1 x4: f(x) , f(x) = 3x 2 x2+2, f( )) = sec( ) 1+tan( : f(t) = cos(t)(1 + tet, g(t) = et sin(t)(t2 5t + 22, f(x) = cos(x) x3 x2.