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Schaum's Outline of Theory and Problems of Beginning Calculus

Schaum's Outline of Theory and Problems of Beginning Calculus

Schaum's Outline of Theory and Problems of Beginning

  • Page 4: To the memory of my father, Joseph,
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  • Page 12: 6.2 Symmetry about a Point 42Chapte
  • Page 16: Chapter 18Rectilinear Motion and In
  • Page 20: Chapter 32Applications of Integrati
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  • Page 28: 2 COORDINATE SYSTEMS ON A LINE[CHAP
  • Page 32: ~ ~ ~4 COORDINATE SYSTEMS ON A LINE
  • Page 38: CHAP. 11COORDINATE SYSTEMS ON A LIN
  • Page 42: CHAP. 23COORDINATE SYSTEMS IN A PLA
  • Page 46: CHAP. 21 COORDINATE SYSTEMS IN A PL
  • Page 50: CHAP. 2) COORDINATE SYSTEMS IN A PL
  • Page 54:

    CHAP. 31GRAPHS OF EQUATIONS15T0 0-1

  • Page 58:

    CHAP. 3) GRAPHS OF EQUATIONS 17on c

  • Page 62:

    CHAP. 31 GRAPHS OF EQUATIONS 193.5

  • Page 66:

    CHAP. 31 GRAPHS OF EQUATIONS 21x2 y

  • Page 70:

    CHAP. 31 GRAPHS OF EQUATIONS 233.16

  • Page 74:

    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

  • Page 90:

    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

  • Page 114:

    CHAP. 61 SYMMETRY 45To solve (I) an

  • Page 118:

    CHAP. 71FUNCTIONS AND THEIR GRAPHS4

  • Page 122:

    CHAP. 73 FUNCTIONS AND THEIR GRAPHS

  • Page 126:

    CHAP. 71FUNCTIONS AND THEIR GRAPHS

  • Page 130:

    CHAP. 71 FUNCTIONS AND THEIR GRAPHS

  • Page 134:

    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 ,/- =

  • Page 150:

    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

  • Page 174:

    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

  • Page 194:

    CHAP. 101 CONTINUITY 8510.12For eac

  • Page 198:

    h,CHAP. 11) THE SLOPE OF A TANGENT

  • Page 202:

    CHAP. 113THE SLOPE OF A TANGENT LIN

  • Page 206:

    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

  • Page 230:

    CHAP. 13) MORE ON THE DERIVATIVE 10

  • Page 234:

    CHAP. 14) MAXIMUM AND MINIMUM PROBL

  • Page 238:

    ~CHAP. 14)MAXIMUM AND MINIMUM PROBL

  • Page 242:

    CHAP. 141 MAXIMUM AND MINIMUM PROBL

  • Page 246:

    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

  • Page 286:

    CHAP. 17) THE MEAN-VALUE THEOREM AN

  • Page 290:

    CHAP. 173 THE MEAN-VALUE THEOREM AN

  • Page 294:

    h,CHAP. 171 THE MEAN-VALUE THEOREM

  • Page 298:

    CHAP. 181RECTILINEAR MOTION AND INS

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    CHAP. 18) RECTILINEAR MOTION AND IN

  • Page 306:

    CHAP. 181 RECTILINEAR MOTION AND IN

  • Page 310:

    Chapter 19Instantaneous Rate of Cha

  • Page 314:

    CHAP. 191INSTANTANEOUS RATE OF CHAN

  • Page 318:

    Chapter 20Most quantities encounter

  • Page 322:

    CHAP. 20) RELATED RATES 149Fig. 20-

  • Page 326:

    CHAP. 203RELATED RATESSubstituting

  • Page 330:

    CHAP. 201 RELATED RATES 15320.1020.

  • Page 334:

    Chapter 21Approximation by Differen

  • Page 338:

    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

  • Page 354:

    CHAP. 221 HIGHER-ORDER DERIVATIVES

  • Page 358:

    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

  • Page 374:

    CHAP. 231THE SECOND DERIVATIVE AND

  • Page 378:

    h,h,CHAP. 23) THE SECOND DERIVATIVE

  • Page 382:

    Chapter 24More Maximum and Minimum

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    CHAP. 241 MORE MAXIMUM AND MINIMUM

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    CHAP. 241MORE MAXIMUM AND MINIMUM P

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    Chapter 25Angle Measure25.1 ARC LEN

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    ICHAP. 2510 LANGLE MEASURE 187Ao*T*

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    CHAP. 251 ANGLE MEASURE 189(b) 390"

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    CHAP. 261 SINE AND COSINE FUNCTIONS

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    CHAP. 261 SINE AND COSINE FUNCTIONS

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    CHAP. 26) SINE AND COSINE FUNCTIONS

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    CHAP. 26) SINE AND COSINE FUNCTIONS

  • Page 422:

    CHAP. 261 SINE AND COSINE FUNCTIONS

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    CHAP. 261 SINE AND COSINE FUNCTIONS

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    CHAP. 271 GRAPHS AND DERIVATIVES OF

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    CHAP. 271GRAPHS AND DERIVATIVES OF

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    CHAP. 273 GRAPHS AND DERIVATIVES OF

  • Page 442:

    CHAP. 271 GRAPHS AND DERIVATIVES OF

  • Page 446:

    CHAP. 271 GRAPHS AND DERIVATIVES OF

  • Page 450:

    CHAP. 27) GRAPHS AND DERIVATIVES OF

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    CHAP. 281 THE TANGENT AND OTHER TRI

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    CHAP. 281THE TANGENT AND OTHER TRIG

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    CHAP. 281 THE TANGENT AND OTHER TRI

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    Chapter 29Antiderivatives29.1 DEFIN

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    CHAP. 291 ANTIDERIVATIVES 223EXAMPL

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    CHAP. 291 ANTIDERIVATIVES 225(a) No

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    CHAP. 29) ANTIDERIVATIVES 221Supple

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    Chapter 30The Definite Integral30.1

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    CHAP. 301 THE DEFINITE INTEGRAL 23

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    CHAP. 301 THE DEFINITE INTEGRAL 233

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    CHAP. 30) THE DEFINITE INTEGRAL 235

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    CHAP. 301 THE DEFINITE INTEGRAL 237

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    CHAP. 31) THE FUNDAMENTAL THEOREM O

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    CHAP. 311 THE FUNDAMENTAL THEOREM O

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    CHAP. 311 THE FUNDAMENTAL THEOREM O

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    CHAP. 311 THE FUNDAMENTAL THEOREM O

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    CHAP. 311 THE FUNDAMENTAL THEOREM O

  • Page 522:

    Chapter 32AppClcatlons of Integrati

  • Page 526:

    CHAP. 321 APPLICATIONS OF INTEGRATI

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    CHAP. 321 APPLICATIONS OF INTEGRATI

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    CHAP. 321 APPLICATIONS OF INTEGRATI

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    Chapter 33Applications of Integrati

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    CHAP. 331 APPLICATIONS OF INTEGRATI

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    CHAP. 331 APPLICATIONS OF INfEGRATl

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    CHAP. 331 APPLICATIONS OF INTEGRATI

  • Page 554:

    CHAP. 33) APPLICATIONS OF INTEGRATI

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    CHAP. 33) APPLICATIONS OF INTEGRATI

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    CHAP. 341 THE NATURAL LOGARITHM 269

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    CHAP. 343 THE NATURAL LOGARITHM 27

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    CHAP. 341 THE I~ATURAL LOGARITHM 27

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    Chapter 35Exponential Functions35.1

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    CHAP. 351 EXPONENTIAL FUNCTIONS 277

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    CHAP. 351 EXPONENTIAL FUNCTIONS 279

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    CHAP. 351 EXPONENTIAL FUNCTIONS 28

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    CHAP. 351 EXPONENTIAL FUNCTIONS 283

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    CHAP. 361 L'HOPITAL'S RULE; EXPONEN

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    CHAP. 363 L'H~PITAL'S RULE; EXPONEN

  • Page 602:

    CHAP. 361 L'HOPITAL'S RULE; EXPONEN

  • Page 606:

    CHAP. 361 L'HOPITAL'S RULE; EXPONEN

  • Page 610:

    CHAP. 371 INVERSE TRIGONOMETRIC FUN

  • Page 614:

    CHAP. 371 INVERSE TRIGONOMETRIC FUN

  • Page 618:

    CHAP. 371 INVERSE TRIGONOMETRIC FUN

  • Page 622:

    CHAP. 371 INVERSE TRIGONOMETRIC FUN

  • Page 626:

    CHAP. 371 INVERSE TRIGONOMETRIC FUN

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    CHAP. 371 INVERSE TRIGONOMETRIC FUN

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    Chapter 38Integration by PartsIn th

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    CHAP. 381 INTEGRATION BY PARTS 307(

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    CHAP. 38)INTEGRATION BY PARTSThen,c

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    Chapter 39Trigonometric lntegrands

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    CHAP. 391 TRIGONOMETRIC INTEGRANDS

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    CHAP. 393 TRIGONOMETRIC INTEGRANDS

  • Page 658:

    CHAP. 391 TRIGONOMETRIC INTEGRANDS

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    CHAP. 391 TRIGONOMETRIC INTEGRANDS

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    CHAP. 401THE METHOD OF PARTIAL FRAC

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    + (ax2CHAP. 401 THE METHOD OF PARTI

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    CHAP. 4Q] THE METHOD OF PARTIAL FRA

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    J(x2CHAP. 403 THE METHOD OF PARTIAL

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    ~ -Appendix ATrigonometric Formulas

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    Appendix CGeometric Formulas(A = ar

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    Appendix ENatural Logarithmsn0.00.1

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    Answers to Supplementary ProblemsCH

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    ANSWERS TO SUPPLEMENTARY PROBLEMS33

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    ANSWERS TO SUPPLEMEWARY PROBLEMS 33

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    ANSWERS TO SUPPLEMENTARY PROBLEMS34

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    ANSWERS TO SUPPLEMENTARY PROBLEMS 3

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    ANSWERS TO SUPPLEMENTARY PROBLEMS 3

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    ANSWERS TO SUPPLEMENTARY PROBLEMS 3

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    ANSWERS TO SUPPLEMENTARY PROBLEMS 3

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    ANSWERS TO SUPPLEMENTARY PROBLEMS35

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    ANSWERS TO SUPPLEMENTARY PROBLEMS35

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    ANSWERS TO SUPPLEMENTARY PROBLEMS 3

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    ANSWERS TO SUPPLEMENTARY PROBLEMS 3

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    ANSWERS TO SUPPLEMENTARY PROBLEMS 3

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    ANSWERS TO SUPPLEMENTARY PROBLEMS36

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    ANSWERS TO SUPPLEMENTARY PROBLEMS 3

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    ANSWERS TO SUPPLEMENTARY PROBLEMS 3

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    ANSWERS TO SUPPLEMENTARY PROBLEMS 3

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    ANSWERS TO SUPPLEMENTARY PROBLEMS36

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    IndexAAbscissa, 8Absolute extremum

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    Ee, 276Ellipse, 14Epsilon-delta def

  • Page 774:

    Marginal cost, 145Marginal profit,

  • Page 778:

    Trigonometric:formulas, 329ZZero of

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