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Matematik Tambahan: T5 Quiz

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Matematik Tambahan: T5 Quiz

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Kuiz ringkas mata pelajaran

Created by

QISTINA ANGGLY ANAK SAMI Moe
QISTINA ANGGLY ANAK SAMI Moe
Malaysia

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Matematik Tambahan: T5 Quiz
 

Matematik Tambahan: T5 QuizOnline version

Kuiz ringkas mata pelajaran

by QISTINA ANGGLY ANAK SAMI Moe
1

Cari derivative bagi y = x^3 - 4x^2 + 7x pada x = 2.

2

Jika f(x)=e^x, kadar pertumbuhan pada x=0 adalah…

3

Nilai integral ∫(2x)dx = ?

4

Produk pasangan (u v)' = ? jika u' = 3, v = x^2.

5

Diberi urutan geometrik a_n = 3 r^{n-1}, jika a_1=3, r=2, tentukan a_4.

6

Determinant bagi matriks [[2,1],[3,4]] ialah…

7

Nilai limit lim_{x→∞} (1 + 1/x)^x adalah…

8

Himpunan vektor dalam R^2 dengan norma ||v|| = sqrt(a^2+b^2). Temukan norm bagi v=(3,4).

9

Saya cek soalan: jika matriks A=[[1,2],[0,3]] maka determinant adalah…

10

Syarat konvergens bagi siri A_n = 1/n adalah konvergen kepada…

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Derivatif y' = 3x^2 - 8x + 7; y'(2)=12-16+7=3, perbaikilah contoh: sebenarnya 3.

Kadar pertumbuhan pada x=0 adalah f'(0)=e^0=1.

Kunci integral ∫2x dx = x^2 + C; guna kuasa tambah 1 dan bahagikan dengan pekali.

Formula produk: (uv)' = u'v + uv'. So perlu nilai v' dan u.

a_n=3*2^{n-1}; a_4=3*2^3=24; cek semak: sepatutnya 24, bukan 48.

Det([[2,1],[3,4]])=2*4 - 1*3 = 8-3=5.

Limit standard eksponensial: (1+1/x)^x → e.

Norma sqrt(3^2+4^2)=sqrt(9+16)=sqrt(25)=5.

Det(A)=1*3 - 2*0 = 3.

Siri 1/n → 0 sebagai n→∞.

 
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