3rd/10parts: Exclusive disjunction

STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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2nd/3ways: trig integral ∫sec(x) dx

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2 ways: sq root derivative 1/(√√(1/√x))

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trig Write each expression as an equivalent algebraic expression involving only x.

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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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integral ∫ x dx withOUT using Power rule.

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

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Alternate way: sq root integral ∫1/√((x-α)(x-β)) dx

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Ghibli countryside

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COMMON MISTAKE!: directive d/dx(sin(x) cos(x)) ≠ d/dx(sin(x)) d/dx(cos(x))

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trig Evaluate each expression below withOUT using a calculator.

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3 ways: If y=x/(1+x^2) find dy/dx.

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2nd/2parts: Linear interpolation (2 given points)

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3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule

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exp integral e^2x/(1+e^x) dx

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

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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c

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