extension 1 mathematics solution 2013

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2013 Maths Extension 1 HSC Q11d Sketch graph f(x)=x/(4-x²) using calculus & graphing techniques

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2013 Maths Extension 1 HSC Q14a Mathematical induction proof involving series & inequalities

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2013 Maths Extension 1 HSC Q11c Solve worded probability problem using binomial theorem

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2013 Maths Extension 1 HSC Q10 Find inequality equivalent to absolute value equation |x+2|+|x-3|=5

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2013 Maths Extension 1 HSC Q11b Find integral of 1/√(49-4x²) resulting in arcsin primitive

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2013 Maths Extension 1 HSC Q6 Find general solution of trigonometric equation sin(2x)=a

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2013 Maths Extension 1 HSC Q1 How to use factor theorem to find value of constant term of polynomial

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2013 Maths Extension 1 HSC Q5 Express integrand in terms of u of x√(1+2x) using substitution u=1+2x

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2013 Maths Extension 1 HSC Q12b Find volume of solid of revolution of curve rotated about x-axis

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2013 Maths Extension 1 HSC Q3 Find angle at circumference given an angle at the centre of circle

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2013 Maths Extension 1 HSC Q7 Find probability of outcome given 8-person circular arrangement

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2013 Maths Extension 1 HSC Q12d Solve problem involving parametric & Cartesian equation of parabola

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2013 Maths Extension 1 HSC Q12e Show particle is moving in simple harmonic motion & find its period

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2013 Maths Extension 1 HSC Q11f Evaluate integral of (e^(3x))/(e^(6x)+1) using substitution u=e^(3x)

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2013 Maths Extension 1 HSC Q11g Differentiate x²arcsin(5x) using product rule & chain rule

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2013 Maths Extension 1 HSC Q2 Find graph of inverse function f^-1(x) given graph of y=f(x)

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2013 Maths Extension 1 HSC Q12a Solve trig. equation √3cos(x)=1+sin(x) by expressing as 2cos(x+α)

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2013 Maths Extension 1 HSC Q9 Find equation of inverse trigonometric function from graph shown

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2013 Maths Extension 1 HSC Q11e Evaluate limit of sin(x/2)/3x as x approaches 0

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2013 Maths Extension 1 HSC Q8 Find value of sin(2θ) given sin(θ)=5/13 & angle θ obtuse

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2012 Maths Extension 1 HSC Q14b Solve projectile motion problem involving fireworks launch

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2017 Maths Extension 1 HSC Q12b Sketch graph & hence solve absolute value equation |x+1|+|x-2|=3

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2013 Maths Extension 1 HSC Q11a Find product of roots ɑβƔ given polynomial equation 2x³-3x²-11x+7=0

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2022 HSC Mathematics Extension 1 Worked Solutions