expon directive a^f(x)

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

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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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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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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example: Mean, Median & Mode

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

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

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2 ways: diff eq Solve dy/dx=y-1

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3rd/3ways: sum Show 1+2+3+...+n = n(1+n)/2

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trig Show ...

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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫x^5 √(1+x^3) dx

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set Show X∩ ((Y∪ X') ∩ Y') = ∅

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3 ways: derivative e^y=x

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A 2 digit number is equal to the sum of the product of its digits & the sum of its digits.

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rational function integrate ∫x^2/(x^6+a^6) dx

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trig integral ∫3e^(2x)/(1+e^(4x)) dx

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2nd way: ∫ (4x^2 +x +9)/((x^2+1)(x^2+3)) dx withOUT partial fraction

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2nd way: exp integral ∫x^x^2 x(2ln(x)+1) dx

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exp sq root integral ∫(√√ϕ)^x/(π^x) dx

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prob stat: We begin with a sample of n=5 scores with ∑x=35 & M=7. ...

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