Homework Assignment for M 408D -- Shirley

M 408D Spring 2024 Homework # 4

The Homework #4 solutions will be turned in at the beginning of class in a stapled, fully documented packet, folded along the center vertical line.

Part I: Section 11.3:

  • # 38 (a) and (d) only, 40

    • Whenever you read the phrase "Estimate the error", replace this with the phrase "Determine a LEVEL of error."

    • On #38(a), you may use the information in the given tables.

      To view or download these tables:==> Click Here.

    • On #40(a), you may use the information in the given table.

      To view or download this table ==> Click Here.

    • It might help to view the handout "Correct to Three Decimal Places???" in the "Reference Pages" Handouts folder.

Part II: Section 11.4:
  • # 1, 2, 7, 10, 12

    • In solving the problems in Part II, you MUST USE the basic (Direct) Comparison Test.

    • Whenever you conclude that a series is convergent or divergent using the (Direct) Comparison Test, you are required to write out a full sentence giving a clear and complete justification of your conclusion. To see a suggested (even recommended) wording of this justification:==> Click Here. and read pages 1 and 2.

Part III:

  • Determine the following without a calculator and without much multiplication:

    • A) [(8!)(5!)] / [(7!)(4!)]

    • B) [(12!)(0!)] / (10!)

    • C) [(n+2)!] / [(n-1)!]

    • D) [(n!)((n+4)!)] / [((n+2)!)((n-2)!)]

      • In parts C) and D), leave your solution in factored form.

Part IV: Section 11.5:

  • # 6, 10

  • Whenever you conclude that an alternating series is convergent using the Alternating Series Test, you are required to write out a full sentence giving a clear and complete justification of your conclusion. To see a suggested (even recommended) wording of this justification:==> Click Here.