Kuiz 3 (Pembezaan Pengamiran)

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    MALAYSIAN INSTITUTE OF TECHNOLOGY 

    ACADEMY 

    KURIKULUM STANDARD KOLEJ

    VOKASIONAL

    MATEMATIK UNTUK TEKNOLOGI

    KUIZ 3MODUL MATEMATIK UNTUK TEKNOLOGISEMESTER 4BAB DAN TAJUK  4 – PEMBEZAAN DAN PENGAMIRAN

    STANDARD

    PEMBELAJARAN

    10.1 Apply the concept of first derivative of polynomial functions

    to solve problems.

    10.2 Apply the concept of indefinite integral to solve problems.

    KRITERIA

    PENCAPAIAN10.1.1 Determine the first derivative of the function y = ax n

    using formula.

    10.1.2 Determine value of the first derivative of the function

    y = ax n for a given value of x .

    10.1.3 Determine first derivative of a function involving

    addition and/or subtraction of algebraic terms.

    10.1.4 Determine the first derivative of a product of to

    polynomials.

    10.1.! Determine the first derivative of a "uotient of to

    polynomials.

    10.2.1 Determine integrals by reversing differentiation.

    10.2.2 Determine integrals of ax n# here a is a constant

    and n is an integer#

    n $ %1.

    10.2.3 Determine integrals of algebraic e&pressions.

    10.2.4 'ind constants of integration# c # in indefinite

    integrals.

    10.2.! Determine e"uations of curves from functions of

    gradients.

    10.2.( Determine by substitution the integrals of

    e&pressions of the form

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    )ax * b+n# here a and b are constants# n is an integer and

    n $%1.

    NO. KOD AMT 409 Page: 1 of 4

    NAMA TARIKH:

    KELAS

    TAJUK : PEMBEZAAN DAN PENGAMIRAN

    NO. KOD AMT 409 Page: 2 of 4Car !e"#e$aa% !er&a"a #ag f'%g( #er)'&:

    1)  y = * x*

    +1 markah,

    2) y = 4 x2 + 2 x3

    +2 markah,

    3)   y = x2 -2+5 x2.

    +* markah,

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    4)  y = (3 x2 − 1. -4 x+5 .

    +4 markah,

    NO. KOD AMT 409 Page: * of 4

    Tentukan pengamiran bagi yang berikut:

    5)   ∫5  x2dx   +1 

    markah,

    6)   ∫ (3 x3+5 x )dx   +2 

    markah,

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    7)   ∫  1

    (1−3 x )3 dx 

    +* markah,

    NO. KOD AMT 409 Page: 4 of 4

    8) Diberidy

    dx=3− x2

      dan y = 0 apabila x = 1. Cari y dalam sebutan x. +4 

    markah,

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    KOMEN PENILAI:

     ASSESSOR COMMENT:

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     Ta%a&a%ga% Pe%a

     Assessor Signature

    Na"a: //////////////////////////// 

    Name:

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    Date: