4.5 SUMMARY OF CURVE SKETCHING. Click here for answers. Click here for solutions. y cos x sin x. x 2 x 3 4. x 1 x y x 3 x
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1 SECTION.5 SUMMARY OF CURVE SKETCHING.5 SUMMARY OF CURVE SKETCHING A Click here for answers. S Click here for solutions Use the guidelines of this section to sketch the curve. cos sin cot.. 9. cos sin. sin cos sin s cos. sin sin e 6. e ln cos 8. ln ln. ln.. ln tan.. s s e. ln. e. s 5. s 9 5. s e 6. e 7. s s e 8. ln s Stewart: Calculus: Earl Transcendentals Seventh Edtion. ISBN: Cengage Learning. All rights reserved.
2 SECTION.5 SUMMARY OF CURVE SKETCHING.5 ANSWERS E Click here for eercises. S Click here for solutions.. A. R B. -int. C. None D. None E. Inc. on ; dec. on F. Loc. min. f = loc. 7 ma. f = G. CU on 5 CDon 5 IP A. { } B. -int. f = C. None D. HA =;VA = = E. Inc. on ;dec.on F. Loc. ma. f = G. CD on ; CUon 9. A.R B. -int.7 C. None D. None E. Inc. on ; dec. on F. Loc. ma. f = 7 loc. min. f = 7 G. CU on CD on. IP 5 6. A. { } B. None C. None D. HA =; VA = = E. Inc. on ; dec.on F. Loc. min. f = G. CU on ; CDon Stewart: Calculus: Earl Transcendentals Seventh Edtion. ISBN: Cengage Learning. All rights reserved.. A. R B. -int.; -int. C. None D. None E. Inc. on dec.on F. Loc. ma. f = 7 G. CU on ; CDon. IP 6. A. R B. -int. -int. C. None D. None E. Dec. on R F. None G. CU on CDon. IP 7. A. { ±} B. -int. C. About -ais D. HA = VA = ± E. Inc. on ; dec.on F. Loc. min. f = G. CU on ;CDon 8. A. { 5} B. -int. C. None D. HA =VA 5 =5 E. Inc. on 5dec.on5 F. None G. CU on 5 5 =5
3 SECTION.5 SUMMARY OF CURVE SKETCHING 9. A. { } B. -int. -int. C. None D. HA = VA = E. Inc. on F. None G. CU on CDon. A. 5 5 B. -int. ±5 C. About the -ais D. None E. Inc. on 5 dec.on 5 F. None G. CD on 5 5 = =_. A. { } ± B. None C. About the origin D. HA =VA = = ± E. Inc. on ;dec.on F. Loc. min. f f = = loc. ma. G. CU on ;CDon. A. ] [ B. -int. are ± C. About the origin D. None E. Inc. on F. None G. CU on ;CDon. IP ± ± 9. A. { } B. -int. C. None D. VA = E. Inc. on ; dec.on F. Loc. min. f = G. CU on ;CDon. IP. A. [ B. None C. None D. HA = E. Dec. on F. None G. CU on _ 5. A. R B. -int. -int. C. None D. HA = ± E. Inc. on dec.on F. Loc. ma. f = G. CU on ;CD on IP A. R B.-int. 7; -int. C. None D. None E. Inc. on 8 ; dec.on 8 F. Loc. ma. f 8 = loc.min.f = G. CD on Stewart: Calculus: Earl Transcendentals Seventh Edtion. ISBN: Cengage Learning. All rights reserved.
4 SECTION.5 SUMMARY OF CURVE SKETCHING 7. A. [ B.-int. C. None D. None E. Inc. on F. None G. CD on. A. R B. -int. C.About the-ais period D. None E. Inc. on n ndec.onn n + n an integer F. Loc. ma. f n =loc.min. f n + = n an integer G. CU on n + n + CDon n n +.IP n ± Stewart: Calculus: Earl Transcendentals Seventh Edtion. ISBN: Cengage Learning. All rights reserved. 8. A. B.-int. -int C.About -ais D. VA = ± E. Inc. on dec.on F. Loc. min. f = G. CU on =_ = 9. A. R B. -int. n + n an integer -int. C. Period D. None E. Inc. on n + n + 7 dec.on n n + n an integer F. Loc. ma. f n = loc.min.f n + = n an integer G. CU on n + n + 5 CDon n n + IP n + n an integer. A. B. None C. None D. VA = = E. Inc. on ;dec.on F. Loc. min. f =+ loc.ma.f = G. CU on CDon.IP. A. R Note: f is periodic with period soinb Gwe consider onl [ ] B. -int. 7 ; -int. C. Period D. None E. Inc. on 5 ;dec.on 5 F. Loc. ma. f = loc. min. f 5 = G. CU on 7 ;CDon 7.IP 7 ¹ _. A. R Note: f is periodic with period soinb Gwe consider onl [ ] B. -int. 5 ; -int. C. Period D. None E. Inc. on 6 7 ;dec. 6 on F. Loc. ma. f 6 =loc.min. f 7 6 = G. CU on 5 ;CDon 5.IP 5 ¹ _6 ¹ 5¹ _ 7¹ 6
5 . A. R Note: f is periodic with period soinb Gwe consider onl [ ] B.-int. ; -int. C.Period D. None E. Inc. on ;dec.on F. Loc. ma. f = loc. min. f = G. CU on 6 5 ;CDon IP A. { } B. -int. e C. None D. HA = VA = E. Inc. on F. None G. CU on ;CDon.IP e SECTION.5 SUMMARY OF CURVE SKETCHING 5 G. CU on e / CDon e /.IP e / e / 9. A. B. -int. ± 5 C. None D. VA = = E. Inc. on dec.on F. None G. CD on. A.R B.-int -int C.About the -ais D. None E. Inc. on dec.on F. Loc. min. f = G. CU on ; CDon. IP± ln 6. A.R B.-int -int C.About the origin D.None E. Inc. on R F. None G. CU on CDon. IP. A. { n/} Note: f is periodic with period soin 7. A. { n <<n + n = ± ±...} Note: f is periodic with period so in B G we consider onl [ ] B.-int. ; -int. C.About the -ais period D. VA = E. Inc. on dec. on F. Loc. ma. f = f = G. CD on 8. A. B. -int. C. None D. HA =VA = E. Inc. on edec.one F. Loc. ma. f e =/e B-G we consider onl << B. -int. C. About the -ais period D. VA = = ± E. Inc. on dec.on F. None G. CD on ;CUon.IP ±. A. R B. -int -int C. None D. HA = E. Inc. on ; dec.on F. Loc. ma. f = e loc. min. f = G. CU on + ;CDon +. IP ± 6 ± e ± inflection points _ e@ -Ï +Ï Stewart: Calculus: Earl Transcendentals Seventh Edtion. ISBN: Cengage Learning. All rights reserved.
6 6 SECTION.5 SUMMARY OF CURVE SKETCHING. A. B.-int. C. None D. None E. Inc. on / e dec.on / e F. Loc. min. f / e = /e G. CU on e / CDon e /.IP e / / e 6. A. { } B. None C. None D. HA =VA = E. Inc. on ; dec.on F. Loc. min. f = e G. CU on e@ _. A. { } B. None C. None D. VA = E. Inc. on ; dec.on F. Loc. min. f = e G. CU on CDon 7. A. { } B. None C. None D. VA = E. Inc. on ; dec.on F. Loc. min. f = e G. CU on. Stewart: Calculus: Earl Transcendentals Seventh Edtion. ISBN: Cengage Learning. All rights reserved. 5. A.R B.-int -int. C.About the -ais D. HA = E. Inc. on ; dec.on F. Loc. ma. f ± = /e loc.min. f = G. CU on CD on ± ;.IPat = ± 5+ 7 _Œ º º Œ 8. A. B.-int. -int. C. None D. VA = E. Inc. on dec.on F. Loc. min. f = G. CU on =_
3.4. Click here for solutions. Click here for answers. CURVE SKETCHING. y cos x sin x. x 1 x 2. x 2 x 3 4 y 1 x 2. x 5 2
SECTION. CURVE SKETCHING. CURVE SKETCHING A Click here for answers. S Click here for solutions. 9. Use the guidelines of this section to sketch the curve. cos sin. 5. 6 8 7 0. cot, 0.. 9. cos sin. sin
4.4. Click here for solutions. Click here for answers. CURVE SKETCHING. y ln x 2 x. y ln 1 x 2. y x 2 e x2. x 1 x 2. x 2 x 3. x 5 2. y x 3.
SECTION. CURVE SKETCHING. CURVE SKETCHING A Click here for answers. S Click here for solutions. 9.. 8 Use the guidelines of this section to sketch the curve. ln ln. 5. 6 8 7. ln tan. e.. 9. ln. e 5. 6.
26 28 Find an equation of the tangent line to the curve at the given point Discuss the curve under the guidelines of Section
SECTION 5. THE NATURAL LOGARITHMIC FUNCTION 5. THE NATURAL LOGARITHMIC FUNCTION A Click here for answers. S Click here for solutions. 4 Use the Laws of Logarithms to epand the quantit.. ln ab. ln c. ln
AREAS AND LENGTHS IN POLAR COORDINATES. 25. Find the area inside the larger loop and outside the smaller loop
SECTIN 9. AREAS AND LENGTHS IN PLAR CRDINATES 9. AREAS AND LENGTHS IN PLAR CRDINATES A Click here for answers. S Click here for solutions. 8 Find the area of the region that is bounded by the given curve
16. 17. r t te 2t i t 1. 18 19 Find the derivative of the vector function. 19. r t e t cos t i e t sin t j ln t k. 31 33 Evaluate the integral.
SECTION.7 VECTOR FUNCTIONS AND SPACE CURVES.7 VECTOR FUNCTIONS AND SPACE CURVES A Click here for answers. S Click here for soluions. Copyrigh Cengage Learning. All righs reserved.. Find he domain of he
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