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AddMath Form 5 Kuis Ringkas

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Tanya kunci tambah matematik asas

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AddMath Form 5 Kuis Ringkas
 

AddMath Form 5 Kuis RingkasOnline version

Tanya kunci tambah matematik asas

by FAIZ ZULKARNAIN BIN MOHAMMAD KHAIROL KPM-MURID
1

1) Fungsi f(x)=x^3-6x^2+9. Cari f'(2).

2

2) Tentukan ∫2x dx.

3

3) Jika a=(3,4) dan b=(-1,2), nilai a·b?

4

4) Determinan matriks [[2,3],[1,4]]?

5

5) Suku ke-n siri aritmetik a1=2, d=3?

6

6) Segi empat tepat dengan sisi x,y dan xy=12, luas maksimum?

7

7) Jika vector u=(a,b) dan |u|=1, berapakah panjang u?

8

8) Kompleks z=3+4i, modulus |z|?

9

9) Limit x→0 (sin x)/x = ?

10

10) Jika f(x)=e^{2x}, f'(0)=?

Feedback

Derivatif f'(x)=3x^2-12x; di x=2, f'(2)=12-24=-12.

Integral ∫2x dx = x^2 + C kerana turunan x^2 adalah 2x.

Penghampiran dot product: 3(-1)+4(2)= -3+8=5.

Det = 2×4 − 3×1 = 8−3 = 5.

a_n = a1 + (n-1)d = 2 + (n-1)3 = 3n-1.

Luas A=xy dengan xy tetap; maksimum apabila x=y=√12, A=12.

Panjang vektor tidak boleh negatif; norma ialah 1.

|z| = sqrt(3^2+4^2) = sqrt(9+16) = 5.

Standard limit trigonometri: lim sin x / x = 1.

Turun naik f'(x)=2e^{2x}; di x=0, f'(0)=2.

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