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    quick inverse trig question

    Have fun!:wave:
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    Binomial Theorm T__T

    Q1 Find the coefficient of x^2 in the expansion of ( x + 1/x)^3 (x - 1/x)^5. First we write (x - 1/x)^5 = (x - 1/x)^3. (x - 1/x)^2 and then substitute it in the relation above and use the property a^n.b^n = (ab)^n and (a + b).(a - b) = a^2 – b^2<O:p</O:p we can rewrite: <O:p (x^2 -...
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    should i keep 12units??

    First of all, you seem very confused at this stage. My suggestion is to not take any advice before clarifying yourself first, as no one else knows better then you what you can /can’t do. HSC is a matter of being effective/ efficient (get the best results with the least amount of effort) and make...
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    will 2u count if 4u isnt in the best 10units of urs in HSC??

    That's right, you cannot sit both exams as they are always held in the same day at the same time, which means you can choose either 2 unit or extension 2.
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    Permutation/Combination Question.

    As you said, the first digit must be 7, so there are 7 places left, for each of them having 10 possibilities (0-9). So the total number of phone numbers is : 1X10^7 (the numbers can be formed in 10^7 different ways)
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    Complex numbers - vector

    Let’s consider 2 complex numbers z1=x1+iy1 and z2=x2+iy2. The numbers can be represented geometrically on the complex plane (Argand diagram) as 2 points A(x1,y1) and B(x2,y2). They can also be represented as 2 vectors, both starting from origin O(0,0) towards A(x1,y1) and B(x2,y2)...
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    GM 4unit Problems

    Happy studying!:wave:
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    GM 4unit Problems

    Have fun!:wave:
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    help with logarithms!

    Have fun!:wave:
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    Complex Numbers Problem

    Happy studying!:wave:
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    sequences/series question

    I’d say that the question is asking the sum of: 1 + 2 + 4 + 8 + … + 1024, which are powers of 2 from 1 = 2<SUP>0</SUP> to 1024 = 2<SUP>10</SUP>. So we have a geometric series with a =1, r =2 and n = 11 (from 0 to 10 there are 11 terms). S<SUB>11</SUB>= 1(2<SUP>11</SUP> – 1)/(2-1)=2<SUP>11</SUP>...
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    Geometrical applications of calculus q's

    :wave:
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    Geometrical applications of calculus q's

    Happy studying!:wave:
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    Absolute value questions

    Happy learning!:wave:
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    Locus/Parabola questions

    :wave:
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    Mod Exp Decay - im doin it wrong

    T = -40 + Ae^kt When t = 0, T = 24!!!, not A 24 = -40 + Ae^0 So A = 64 T = -40 + 64e^kt When t = 5, T = 19, so k = ln(59/64)/5, which is negative. Find t=?, for T =0. t = 5ln(5/8)/ln(59/64) t = 28.9 sec. Good Luck!!!!!!!!:wave:
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    Questions

    We can use the formula for the perpendicular distance from a point to a line. However, in our case it’s easier to notice that the point P has the coordinates x and y (given) and the line is x-axis (y = 0), so the distance is the length of the segment from P to the foot of the perpendicular on...
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    volume generated by 2 graphs

    Good luck!!!!:wave:
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    Questions

    Have fun!:wave:
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    Need help with 2 Qs

    Hope it helps.:hammer: Good luck!!!
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