i can and i have done them, there of the past hsc therefore i don't have answers, how am i meant to know if i'm doing them right? so i'm asking around to get different sets of answers.
Scrap Q.1. i don't have it anymore.
1. Take 0.5 as a first approximation for <!--[if gte mso 9]><xml> <u1:WordDocument> <u1:View>Normal</u1:View> <u1:Zoom>0</u1:Zoom> <u1:TrackMoves/> <u1:TrackFormatting/> <u1:PunctuationKerning/> <u1:ValidateAgainstSchemas/> <u1:SaveIfXMLInvalid>false</u1:SaveIfXMLInvalid>...
1. Use mathematical induction to prove that for all integers n≥3
(1-2/3)(1-2/4)(1-2/5)...(1-2/n) = 2/n(n-1)
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1.The line AT is the tangent to the circle at A, and BT is a secant meeting at B and C.<o></o>
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(i)Write 8 cos x+ 6sinx in the form Acos(x -α), where A > 0 and 0 ≤ α ≤ π/2<o></o>
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(ii) Hence, or otherwise, solve the equation 8cosx + 6sinx = 5 for 0 ≤ x ≤ 2π<o></o>
Give...
Dude if u read my last ones i've done them, i don't have the answers though so i need someone to state them for me, and besides estimation of roots is the worst topic in the history of topics, so if you dont have any answers don't post SIMPLE
1.i) Show that f(x)=e^x-3x^2 has a root between x=3.7 and x= 3.8
ii) Starting with x=3.8, use one application of Newtons method to find a better approximation for this root.
2.The function f(x)=sinx-2x/3 has a zero near x=1.5. Taking x=1.5 as a first approximation, use one application of...
I got a few past hsc questions which i have been doing, but i don't know if i've been doing them correctly as i don't have the answers.
1. Use the principle of mathematical induction to show that
2x1!+5x2!+10x3!+…+(n²+1)n!=n(n+1)!
For all integers positive n.
2.Use Mathematical...
1. The variable point ( 3t, 2t 2 ) lies on a parabola. Find the Cartesian equation for this parabola.
2.A curve has parametric equations x = t/2 , y = 3t² . Find the Cartesian equation for this curve.