2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx

examples: 2x2 matrix which is its own inverse

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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Pantun Melayu [Sorong papan tarik papan]

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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count quick review: Permutation vs Combination

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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1st/3 parts: Growing patterns

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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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alternate way: count sum 1+2+3+ ... +n

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3rd/3 parts: Growing patterns

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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2nd way: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(x)cos(x)cos(4x)cos(8x)cos(16x)cos(32x)cos(64x) dx

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STPM Math T Sem.2: 12.1 Numerical solution of Equations

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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How many subsets does {2,4,8, ..., 256} have ?

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Properties of Determinants [examples with 2x2 matrix]

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