Final Exam with Answers Key - Analytic Geometry and Calculus I | MATH 170, Exams of Analytical Geometry and Calculus

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Math 170 Name KEY Common Final Exam Section # (circle one): Spring ‘03 or 02—s«B 04 05 NO CALCULATORS OF ANY KIND ALLOWED. Terrio Peterson Trigsted You must show appropriate work to receive credit. 1. (15) Evaluate each of the following limits. ne 5e3 oe ro (Bt DGD = bows (2x+) - 241 {=] be jim 2 ; = @in as SS GeO) XS ey 33 . 2 Ox* Rye . 22-6478 ion Qe SE TS z £43 6-04; ylim St] Ae = > xe Kee les, Re = on Ot? 4 % y TO _ = Sa lon 1 + a S yo 13 Te ne mao (c) lim ethove Seen tyx a xeh oX 2 he w he t ray h re = ; shawn = Vx esx ho h Liew +f) hte n(ixte tk) noo dew tx ! ( a ea oem VRID Ty K los 2. (10) Use the limit definition of the derivative to verify that _f’(x) = 8x—3 when f(x) = Ax? —3x. £'(«)- i. Fox) -£) 2 jk U(x ny Bla — (1x 23x) hora ww h-vs hn _ 4 (x24 2xlrth2)- Sx -Shy ox? Sx = lew , ho hw jw Neer 8x PUht— Sx —SL xt +3 no w haw Bx +¥h*~ Sh = haw Bxrth—-3 = Sx +O-$ ho n hao = Sxe-S 4 3 3. GO) If f(x) = 2x° +5x5 —1, find an equation of the tangent line to the curve at the point where x = | Flee Gx FE Os = Gxt esx fowgente Slaps at xe hs L1G Gts=t yocsor dena be ab x71: £002 235-1 =G et slope ent ug’ \aee - (y~ Qs $Cx-s)