MATH 140 Lecture 39: Final Exam Review

• School: University of Maryland
• Department: Mathematics
• Course: MATH 140
• Professor: Denny Gulick

Document Summary

Math140 lecture 39 exam review: in each of the following, determine whether the limit exists as a real number, as either positive or negative infinity, or fails to exist. If it exists, evaluate it. sin(2 x) sin(2 x) =dne t 3 t 2>9 9 t 2<0 lim x 0. 2 a. b. c. a. b. c: compute the following derivatives (do not simplify). (x3+ x) sec2 [tan (x2)(3x2+1)] (x2)(2x) d dx( tan( x2) x3+x )= d2 dt 2 (t 2e3t)=2 e3t+6t e3t +6t e3t+9t 2e3t. 2 x ln (t 3+5)dt=2{ln [2 x3+5]} d dx . X: let f ( x)=x3 5 x 1 . Use the newton-raphson method with c1 = 1 to find c2. f (c1) f "(c1) c2=c1 . 2: consider the equation x2+ 1 x. Show that there is a solution to the equation, and justify your answer: f is continuous on ii. f ( 1)=1 1 1<0 ( ,0) f ( 2)=4 1.