HomeClass Notes1,200,000US530,000

MATH 2B Lecture 15: Partial Fraction Decomposition

41 views5 pages

ultramarineporcupine570

2 Nov 2017

School

Department

Course

Professor

For unlimited access to Class Notes, a Class+ subscription is required.

ferrari12 and 38332 others unlocked

$MATH 2B Full Course Notes$

MATH 2B Full Course Notes

Document Summary

Math 2b - lecture 15 7. 4: partial fraction decomposition (cid:885)+(cid:883)+ (cid:886) (cid:885) (cid:889) (cid:887) (cid:889) (cid:887) (cid:4666) (cid:885)(cid:4667)(cid:4666)+(cid:883)(cid:4667)= (cid:1827) (cid:885)+ (cid:1828)+(cid:883) (cid:889) (cid:887) (cid:4666) (cid:885)(cid:4667)(cid:4666)+(cid:883)(cid:4667)=(cid:1827)+(cid:1827)+(cid:1828) (cid:885)(cid:1828) (cid:4666) (cid:885)(cid:4667)(cid:4666)+(cid:883)(cid:4667) (cid:889) (cid:887)=(cid:1827)+(cid:1827)+(cid:1828) (cid:885)(cid:1828) We get the denominator to be the same as the left side. The denominators cancel out and we are left with the numerators. We know how to get a common denominator from basic algebra, and we also know how to facto(cid:396) f(cid:396)o(cid:373) a pol(cid:455)(cid:374)o(cid:373)ial, so let"s t(cid:396)(cid:455) that (cid:449)ith i(cid:374)teg(cid:396)als. We (cid:449)e(cid:396)e a(cid:271)le to (cid:272)o(cid:373)e to this solutio(cid:374) (cid:271)e(cid:272)ause it is the sa(cid:373)e as the o(cid:374)e (cid:449)e did a(cid:271)o(cid:448)e, (cid:271)ut let"s say we did(cid:374)"t k(cid:374)o(cid:449) (cid:449)he(cid:396)e 7(cid:454)-5 came from. Be(cid:272)ause (cid:449)e do(cid:374)"t k(cid:374)o(cid:449) (cid:449)he(cid:396)e 7(cid:454)-5 (cid:272)a(cid:373)e f(cid:396)o(cid:373), let"s just lea(cid:448)e so(cid:373)e (cid:448)a(cid:396)ia(cid:271)le a a(cid:374)d b as placeholders on the numerators. (cid:1827)+(cid:1828)=(cid:889) (cid:1827) (cid:885)(cid:1828)= (cid:887) Coefficients with the sa(cid:373)e a(cid:373)ou(cid:374)t (cid:454)"s a(cid:396)e set e(cid:395)ual to ea(cid:272)h othe(cid:396) a(cid:374)d the o(cid:374)es (cid:449)ithout (cid:454)"s a(cid:396)e also set equal to each other.

Related textbook solutions

Calculus

ISBN: 9781319050733

Single Variable Calculus: Early Transcendentals

4th Edition, 2018

ISBN: 9781337687805

CALCULUS:EARLY TRANSCENDENTALS

ISBN: 9781319050740

Related Documents

MATH 2B Lecture 15: Integration of Rational Functions by Partial Fractions

ochrerhinoceros257

MATH 2B Lecture Notes - Lecture 7: Antiderivative

ultramarineporcupine570

MATH 2B Lecture 17: Sequences

ultramarineporcupine570

Related Questions

Hello how do I do C? Thank you (:

Hello I need help with f and g!!! Thank you (:

be parametric esjuations for a tb) C i v i) C intersects esactly one e ine containing the point -1.3. intersects the xy and ntion voctor to find another esqua ne line with the Korm 17) Let C be the line the ine eontaining the point a) Give parametric ejuastions for c (b) Write an equation for C in on vector to find another equa for the same 18. Let C be the line deterimined by the tt (a) Provide a vector b) Give parametricequations fore c 19. Let C be the line determined by the the points where the line + bt.to t et) eplanes. Ia-0, esplain (a) Provide a vector (b) Write an equation for C in s, determine wbether the the distance between the c. 20. We wish to find the distance from C as shown in the figure that fo dinates of points P and Pa, but we do dinates of point Q (a) Ifyuknew the measure of angle Î¸ llows Wek sect, find the point of intent know th- t.5-3,6+7. weould find the distance from point P to lanes r2()3-,4+3t,5-2 Applications ne. Explain why the vation in Washington State. She tonic wastes in one of the tank tank farm is huge, and she d is leaking. Worse yet, the tank g the tanks would req tank farm, an operation that Instead, Emmy has wells dug the tank farm, to try to trace the earth's surface is conside the bottom of the tank farm the distance is given in f taminated groundwater at (1033, 247,-55). If the w of one of the tanks and i what is the location of th the line does not ow you can distance from point P to line C even if you do ne know the measure of angle Î¸. line containing use the tech- ization for the 24. P023.5), ds(23.5) 25,Pi-1, 3, 7. d = (2,0,4) the leak? eyuivalent.6. Ptbc 53. lan is climbing Mountl He has made a secon mountain. He does n 27, P3, 1), d= (2 5) 28, p(1.3,-2, 4), d= (4,-1,5, 8) In Exercises 29-34, find an equation of the line containing the Proofs ntaning the given pair of points. Express your answer (a) as a vector p ess your an- rametrization, (b) in terms of parametric equations,and ( n 54. Let Ci and C be line symmetric form. 29. P(O,0,0), Q(4,-1,6) and P2 and Qa poin C2 if and only if P â¢P(3,-1,7), Q(5,8,-2)