Schaum's Outline of Theory and Problems of Beginning Calculus

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CHAP. 271 GRAPHS AND DERIVATIVES OF SINE AND COSINE FUNCTIONS 203(COS (8 + h), sin (0 +\- (COS e, sin 8)(see Problem 26.15)Fig. 27-1= -sin 8 and sinThe graph of y = cos x is sketched in Fig. 27-2(a). For arguments between --aand 0, we have usedthe identity cos (-x) = cos x (Theorem 26.3). Outside the interval [- -a, 4, the curve repeats itself inaccordance with Theorem 26.2.t'(a)y = cosxIY(b) y=sinxFig. 27-2
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To the memory of my father, Joseph,
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6.2 Symmetry about a Point 42Chapte
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Chapter 18Rectilinear Motion and In
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Chapter 32Applications of Integrati
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2 COORDINATE SYSTEMS ON A LINE[CHAP
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~ ~ ~4 COORDINATE SYSTEMS ON A LINE
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CHAP. 11COORDINATE SYSTEMS ON A LIN
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CHAP. 23COORDINATE SYSTEMS IN A PLA
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CHAP. 21 COORDINATE SYSTEMS IN A PL
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CHAP. 2) COORDINATE SYSTEMS IN A PL
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CHAP. 31GRAPHS OF EQUATIONS15T0 0-1
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CHAP. 3) GRAPHS OF EQUATIONS 17on c
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CHAP. 31 GRAPHS OF EQUATIONS 193.5
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CHAP. 31 GRAPHS OF EQUATIONS 21x2 y
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CHAP. 31 GRAPHS OF EQUATIONS 233.16
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CHAP. 41 STRAIGHT LINES 25EXAMPLE I
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CHAP. 41STRAIGHT LINES274Ym =O m =O
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CHAP. 41AYSTRAIGHT LINESt’29Fig.
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CHAP. 41 STRAIGHT LINES 31Represent
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CHAP. 41 STRAIGHT LINES 33y-interce
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CHAP. 41STRAIGHT LINES35DAY+ Y 4YCD
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CHAP. 51 INTERSECTIONS OF GRAPHS 37
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CHAP. 51 INTERSECTIONS OF GRAPHS 39
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Chapter 6Symmetry6.1 SYMMETRY ABOUT
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CHAP. 61 SYMMETRY 43EXAMPLES(a) The
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CHAP. 61 SYMMETRY 45To solve (I) an
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CHAP. 71FUNCTIONS AND THEIR GRAPHS4
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CHAP. 73 FUNCTIONS AND THEIR GRAPHS
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CHAP. 71FUNCTIONS AND THEIR GRAPHS
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CHAP. 71 FUNCTIONS AND THEIR GRAPHS
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CHAP. 71FUNCTIONS AND THEIR GRAPHS
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CHAP. 71FUNCTIONS AND THEIR GRAPHSt
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Chapter 8Limits8.1 INTRODUCTIONTo a
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CHAP. 81 LIMITS 61EXAMPLElim ,/- =
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CHAP. 83 LIMITS 63(b) f(x + h) = 4(
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CHAP. 8) LIMITS 65Supplementary Pro
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Chapter 9Special Limits9.1 ONE-SIDE
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CHAP. 91 SPECIAL LIMITS 69to indica
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CHAP. 93 SPECIAL LIMITS 71EXAMPLESl
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CHAP. 91 SPECIAL LIMITS 73EXAMPLE D
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CHAP. 91 SPECIAL LIMITS 75lim f(x)
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CHAP. 91 SPECIAL LIMITS 77(b) Assum
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~ ~~ ~~~~~~~~~~~~~~~~~~~~CHAP. 101
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CHAP. 101 CONTINUITY 81Solved Probl
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CHAP. 101 CONTINUITY a3(a) There ar
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CHAP. 101 CONTINUITY 8510.12For eac
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h,CHAP. 11) THE SLOPE OF A TANGENT
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CHAP. 113THE SLOPE OF A TANGENT LIN
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CHAP. 113 THE SLOPE OF A TANGENT LI
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CHAP. 121 THE DERIVATIVE 93CoroUary
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h,CHAP. 121 THE DERIVATIVE 95Solved
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CHAP. 121 THE DERIVATIVE 9712.8(a)
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Chapter 13More on the Derivative13.
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h,~ ~~CHAP. 131 MORE ON THE DERIVAT
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CHAP. 13) MORE ON THE DERIVATIVE 10
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CHAP. 14) MAXIMUM AND MINIMUM PROBL
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~CHAP. 14)MAXIMUM AND MINIMUM PROBL
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CHAP. 141 MAXIMUM AND MINIMUM PROBL
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CHAP. 141 MAXIMUM AND MINIMUM PROBL
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~ ~ ~~CHAP. 141 MAXIMUM AND MINIMUM
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CHAP. 141MAXIMUM AND MINIMUM PROBLE
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CHAP. 151 THE CHAIN RULE 117(6) Let
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CHAP. 151 THE CHAIN RULE 119EXAMPLE
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CHAP. 151 THE CHAIN RULE 121At the
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CHAP. 15) THE CHAIN RULE 123Supplem
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CHAP. 151 THE CHAIN RULE 12515.25 P
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CHAP. 161IMPLICIT DIFFERENTIATION12
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Chapter 17The Mean-Value Theorem an
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CHAP. 17) THE MEAN-VALUE THEOREM AN
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CHAP. 173 THE MEAN-VALUE THEOREM AN
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h,CHAP. 171 THE MEAN-VALUE THEOREM
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CHAP. 181RECTILINEAR MOTION AND INS
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CHAP. 18) RECTILINEAR MOTION AND IN
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CHAP. 181 RECTILINEAR MOTION AND IN
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Chapter 19Instantaneous Rate of Cha
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CHAP. 191INSTANTANEOUS RATE OF CHAN
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Chapter 20Most quantities encounter
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CHAP. 20) RELATED RATES 149Fig. 20-
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CHAP. 203RELATED RATESSubstituting
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CHAP. 201 RELATED RATES 15320.1020.
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Chapter 21Approximation by Differen
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CHAP. 211APPROXIMATION BY DIFFERENT
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CHAP. 211 APPROXIMATION BY DIFFEREN
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Chapter 22Higher-Order DerivativesT
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CHAP. 221HIGHER-ORDER DERIVATIVES16
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CHAP. 221 HIGHER-ORDER DERIVATIVES
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Chapter 23Applications of the Secon
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CHAP. 231 THE SECOND DERIVATIVE AND
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CHAP. 231THE SECOND DERIVATIVE AND
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CHAP. 231 THE SECOND DERIVATIVE AND
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CHAP. 231THE SECOND DERIVATIVE AND
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Page 382: Chapter 24More Maximum and Minimum
Page 386: CHAP. 241 MORE MAXIMUM AND MINIMUM
Page 390: CHAP. 241MORE MAXIMUM AND MINIMUM P
Page 394: Chapter 25Angle Measure25.1 ARC LEN
Page 398: ICHAP. 2510 LANGLE MEASURE 187Ao*T*
Page 402: CHAP. 251 ANGLE MEASURE 189(b) 390"
Page 406: CHAP. 261 SINE AND COSINE FUNCTIONS
Page 414: CHAP. 26) SINE AND COSINE FUNCTIONS
Page 418: CHAP. 26) SINE AND COSINE FUNCTIONS
Page 432: 204 GRAPHS AND DERIVATIVES OF SINE
Page 448: 212GRAPHS AND DERIVATIVES OF SINE A
Page 452: Chapter 28The Tangent andOther Trig
Page 456: 216 THE TANGENT AND OTHER TRIGONOME
Page 468: 222 ANTIDERIVATIVES [CHAP. 29EXAMPL
Page 472: 224 ANTIDERIVATIVES [CHAP. 29(ii) F
Page 476: 226 ANTIDERIVATIVES [CHAP. 2929.5 A
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228 ANTIDERIVATIVES [CHAP. 2929.13
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230 THE DEFINITE INTEGRAL [CHAP. 30
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232 THE DEFINITE INTEGRAL [CHAP. 30
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234 THE DEFINlTE INTEGRAL (CHAP.[I)
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’)236 THE DEFINITE INTEGRAL [CHAP
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Chapter 31The Fundamental Theorem o
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240 THE FUNDAMENTAL THEOREM OF CALC
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250 APPLICATlONS OF INTEGRATION I:
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252 APPLICATIONS OF INTEGRATION I:
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258 APPLlCATlONS OF INTEGRATION 11:
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260 APPLICATIONS OF INTEGRATION 11:
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266 APPLICATIONS OF INTEGRATION I1
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Chapter 3434.1 DEFlMTlONWe already
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270 THE NATURAL LOGARITHM [CHAP. 34
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272 THE NATURAL LOGARITHM [CHAP. 34
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(b)27434.14THE NATURAL LOGARITHM11(
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276 EXPONENTIAL FUNCTIONS [CHAP. 35
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278EXPONENTIAL FUNCTIONS[CHAP. 3535
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Chapter 36L’HGpital’s Rule ; Ex
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286 L'HOPITAL'S RULE; EXPONENTIAL G
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288 L'H~PITAL'S RULE; EXPONENTIAL G
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290 L'HQPITAL'S RULE; EXPONENTIAL G
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~~~~~~~~ ~ ~~~ ~ ~ ~ ~ ~ ~ ~Chapter
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294 INVERSE TRIGONOMETRIC FUNCTIONS
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above304 INVERSE TRIGONOMETRIC FUNC
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~ du=dx306 INTEGRATION BY PARTS [CH
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308 INTEGRATION BY PARTS[CHAP. 3838
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3 10INTEGRATION BY PARTS[CHAP. 38Su
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312 TRIGONOMETRIC INTEGRANDS AND TR
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Chapter 40Integration of Rational F
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322 THE METHOD OF PARTIAL FRACTIONS
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Appendix BBasic Integration Formula
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0"1"2"3"4"5"6"7"8"9"10"11"12"13"14"
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Appendix F-X0.000.050.100.150.200.2
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336 ANSWERS. TO SUPPLEMENTARY PROBL
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338ANSWERS TO SUPPLEMENTARY PROBLEM
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340 ANSWERS TO SUPPLEMENTARY PROBLE
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R-v QdA 1d 1
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364+I)ANSWERS TO SUPPLEM ENTARY PRO
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Collinear points, 30Common logarith
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Infinite limits, 68Inflection point
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RRadian, 185Radicals, 118Range, 47R
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Schaum's Outline of Theory and Problems of Beginning Calculus

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