2014 Maths Extension 1 HSC Q12f Solve applied exponential decay problem (Newton's law of cooling) The Maths Studio 3,56 тыс. подписчиков Скачать
2014 Maths Extension 1 HSC Q12f Solve applied exponential decay problem (Newton's law of cooling) Скачать
2014 Maths Extension 1 HSC Q12e Explain why 2nd application of Newton's method gives worse approx. Скачать
2014 Maths Extension 1 HSC Q12d Use binomial theorem to prove identity 0=ⁿC0-ⁿC1+ⁿC2+...+(-1)ⁿ×ⁿCn Скачать
2014 Maths Extension 1 HSC Q12c Find velocity with respect to displacement given acceleration Скачать
2014 Maths Extension 1 HSC Q12b Find volume of solid of revolution of curve y=cos²(4x) about x-axis Скачать
2014 Maths Extension 1 HSC Q12a Solve simple harmonic motion problem involving x, v, a w.r.t. time t Скачать
2014 Maths Extension 1 HSC Q10 Find equation of locus of P(x,y) equidistant from 2 fixed points Скачать
2014 Maths Extension 1 HSC Q7 Find velocity equation of particle moving in simple harmonic motion Скачать
2013 Maths Extension 1 HSC Q12e Show particle is moving in simple harmonic motion & find its period Скачать
2013 Maths Extension 1 HSC Q12d Solve problem involving parametric & Cartesian equation of parabola Скачать
2013 Maths Extension 1 HSC Q12c Solve problem involving exponential decay (Newton's law of cooling) Скачать
2013 Maths Extension 1 HSC Q12b Find volume of solid of revolution of curve rotated about x-axis Скачать
2012 Maths Extension 1 HSC Q6 Find simple harmonic motion amplitude & period given v²=16(9-x²) Скачать
2012 Maths Extension 1 HSC Q2 Divide interval from A(-2,2) to B(8,-3) internally in the ratio 3:2 Скачать
2011 Maths Extension 1 HSC Q2d Sketch graph of inverse trigonometric function f(x)=2arccos(x) Скачать
2011 Maths Extension 1 HSC Q2b Use Newton's method to approximate zero of function f(x)=cos(2x)-x Скачать
2010 Maths Extension 1 HSC Q2d Solve related rates of change problem using Pythagoras' theorem Скачать
2010 Maths Extension 1 HSC Q2c Solve polynomial equation problem using factor & remainder theorems Скачать
2010 Maths Extension 1 HSC Q2b Solve problem involving differential equation & exponential growth Скачать
2010 Maths Extension 1 HSC Q2a Find f(x) given derivative f'(x)=sin²(x) using double-angle identity Скачать
2009 Maths Extension 1 HSC Q2c Solve problem involving parametric representation of parabola x²=4y Скачать
2008 Maths Extension 1 HSC Q2c Find zero of cubic polynomial given values of the other two zeros Скачать
2008 Maths Extension 1 HSC Q2b Find velocity of particle given acceleration with respect to x Скачать
2008 Maths Extension 1 HSC Q2a Use substitution u=ln(x) to evaluate integral of 1/(x(ln(x))²) Скачать
2007 Maths Extension 1 HSC Q2d Solve calculus problem involving distance, velocity & acceleration Скачать
2007 Maths Extension 1 HSC Q2c Find a, b in polynomial P(x)=x²+ax+b using factor, remainder theorems Скачать
2007 Maths Extension 1 HSC Q2b Sketch graph of inverse trig. function f(x)=2arccos(x) & state range Скачать
2006 Maths Extension 1 HSC Q2c Solve problem involving parametric representation of parabola x²=4ay Скачать
2006 Maths Extension 1 HSC Q2a Find domain, range & gradient of f(x)=arcsin(x+5) & sketch its graph Скачать
2005 Maths Extension 1 HSC Q2b Use binomial theorem to find term independent of x in (2x-1/x²)¹² Скачать
2004 Maths Extension 1 HSC Q2c Solve numerical circle geometry problem involving secant & tangent Скачать
2002 Maths Extension 1 HSC Q2e Solve circle geometry proof problem involving similar triangles Скачать
2019 Maths Extension 1 HSC Q2 Solve circle geometry problem involving secant & tangent to circle Скачать
2018 Maths Extension 1 HSC Q11d Solve circle geometry problem involving secants & similar triangles Скачать
2018 Maths Extension 1 HSC Q10 Find simple harmonic motion displacement equation given velocity Скачать
2018 Maths Extension 1 HSC Q6 Use Newton's method to find approximation to root of equation f(x)=0 Скачать
2017 Maths Extension 1 HSC Q11a Find P(x,y) that divides interval AB internally in the ratio 2:3 Скачать
2013 Maths Extension 1 HSC Q11f Evaluate integral of (e^(3x))/(e^(6x)+1) using substitution u=e^(3x) Скачать
2013 Maths Extension 1 HSC Q11d Sketch graph f(x)=x/(4-x²) using calculus & graphing techniques Скачать
How to solve for 'a' the literal equation p=ax/(a+y) [i.e. make 'a' the subject of the formula] Скачать
How to find normal distribution z-score probabilities on Casio scientific calculator fx-100AU PLUS Скачать
Interesting statistics worded problem (with simple solution) involving average of maths exam scores Скачать
An easy way to convert between imperial units of area e.g. Convert 5 square feet to square inches Скачать
What is the annual electricity cost of a TV on standby if it draws 10W & charged at $0.40/kWh? Скачать
2013 Maths Extension 1 HSC Q11a Find product of roots ɑβƔ given polynomial equation 2x³-3x²-11x+7=0 Скачать
How to work out electricity cost of appliance e.g. running a 2200W heater for 3 hours per day Скачать
2013 Maths Extension 1 HSC Q3 Find angle at circumference given an angle at the centre of circle Скачать
2008 Maths Extension 1 HSC Q1f Find domain of log function ln[(x-3)(5-x)] using graphing techniques Скачать
2008 Maths Extension 1 HSC Q1e Find definite integral of cos(θ)sin²(θ) using reverse chain rule Скачать
2008 Maths Extension 1 HSC Q1c Evaluate definite integral of 1/√(4-x²) resulting in arcsin primitive Скачать
2008 Maths Extension 1 HSC Q1b Find derivative of inverse trigonometric function y=arccos(3x) Скачать
2007 Maths Extension 1 HSC Q1e Evaluate definite integral of 2x/(√25-x²) using substitution u=25-x² Скачать
2007 Maths Extension 1 HSC Q1d Find angle between line & tangent to curve using vector techniques Скачать
2007 Maths Extension 1 HSC Q1c Differentiate composite inverse trigonometric function y=arctan(x⁴) Скачать
2007 Maths Extension 1 HSC Q1b Find P(x,y) that internally divides an interval AB in the given ratio Скачать
2007 Maths Extension 1 HSC Q1a Expand (1+√5)³ using binomial theorem & express in the form a+b√5 Скачать
2006 Maths Extension 1 HSC Q1a Find integral of 1/(49+x²) resulting in arctan primitive function Скачать
2005 Maths Extension 1 HSC Q1f Find m given lines y=mx+4, y=3x+5 & angle between lines is 45° Скачать
Avoid this common mistake when expanding algebraic expressions e.g. expand & simplify 12-2(x+6) Скачать
How to find average yearly percentage % increase with different percentage increases each year Скачать
2004 Maths Extension 1 HSC Q1c Find point P that divides interval AB externally in the ratio 5:2 Скачать
I evaluate sin(π/6) on my Commodore 64 using the "PRINT" command in Microsoft's BASIC language Скачать
2017 Maths 2u HSC Q15b Model & solve financial situation using recurrences & geometric series Скачать
How to correctly evaluate algebraic expressions using substitution (avoid this common mistake) Скачать
How to correctly express fractions using the division ÷ symbol (avoid this common math error) Скачать
What is infinity/infinity ∞/∞? Interesting example involving L'Hopital's rule to find ln(x)/x as x→∞ Скачать
How to use index laws & order of operations to fully simplify algebraic expression -2y³×3y⁵+(y²)⁴ Скачать
Handy percentage calculation shortcut e.g. a fast way to find 60% of $70 without a calculator Скачать
What is the difference in future value between yearly, monthly, daily & continuous compounding? Скачать
2023 Maths Extension 1 HSC Q14b Solve intersection of 2 graphs problem using polynomials & calculus Скачать
2023 Maths Extension 1 HSC Q14a Show f(x)=2x+ln(x) has inverse function & evaluate its derivative Скачать
2003 Maths Extension 1 HSC Q1a Find point P(x,y) that divides given interval internally in ratio 1:3 Скачать
2001 Maths Extension 1 HSC Q1d Find coordinates of point that divides interval externally in ratio Скачать
2023 Maths Extension 1 HSC Q13a Solve related rates of change problem using differential equations Скачать
2012 Maths Extension 1 HSC Q11f Find non-zero constant in binomial expansion using binomial theorem Скачать
2012 Maths Extension 1 HSC Q11d Evaluate definite integral of x(2-x)⁵ using substitution u=2-x Скачать
2012 Maths Extension 1 HSC Q11c Solve inequality with unknown denominator x/(x-3) less than 2 Скачать
2012 Maths Extension 1 HSC Q11b Find derivative of trig. function x²tan(x) using product rule Скачать
2012 Maths Extension 1 HSC Q11a Evaluate definite integral of 1/(9+x²) resulting in arctan primitive Скачать
2011 Maths Extension 1 HSC Q2a Find remainder when polynomial P(x)=x³-ax²+x is divided by (x+1) Скачать
2011 Maths Extension 1 HSC Q1f Find the range of the composite logarithmic function f(x)=ln(x²+e) Скачать
2011 Maths Extension 1 HSC Q1d Evaluate definite integral of e^(√x)/√x using substitution u=√x Скачать
2011 Maths Extension 1 HSC Q1a Divide interval joining A(-1,-2) & B(9,3) internally in the ratio 4:1 Скачать
2010 Maths Extension 1 HSC Q1f Find binomial probability of rolling exactly two 4's in 5 dice rolls Скачать
2010 Maths Extension 1 HSC Q1e Evaluate definite integral of x√(1-x) using substitution u=1-x Скачать
2010 Maths Extension 1 HSC Q1c Solve logarithmic equation ln(x+6)=2ln(x) using log laws & quadratics Скачать
2010 Maths Extension 1 HSC Q1b Find domain of dilated inverse trigonometric function arccos(x/2) Скачать