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Passion, which is a function of time

Since no one has pointed it out yet user Bank$, your approach, though mathematically correct, is also inefficient. It is not required to expand the expressions then factorize the cubic. It is much more efficient to go like this: (x-1)(x-3)+[(x-1)(x-3)]^2<0 (x-1)(x-3)[1+(x-1)(x-3)]<0...

These motion questions are rather nice: 1. (a) AB=AC AB=Ut, where t is the time required to travel between A and B BC=VT, where T is the time required to travel between B and C Ut=VT T=Ut/V W=(AB+BC)/(t+T) =(Ut+VT)/(t+T) =[Ut+V(Ut/V)]/[t+(Ut/V)] =(2UV)/(U+V)=h (b)(i)W=(U+V)/2 Also...

You could only ask that question once the binomial topic has been covered. Here is another hard P&C question, though slightly out of scope of the syllabus: There are n steps, and a child can crawl up these steps either one step at a time or two steps at a time. How many ways are there for the...

Wow buchanan, you seem to love the cubic and quartic formulae, I have seen you post about it numerous times before, so I thought you might find this question interesting, I can only do the first half of it, not the second half, perhaps you could enlighten me on it? I think this question comes...

MATH1251 Mathematics for Actuarial Studies and Finance 1B ACTL1001 Actuarial Studies and Commerce ECON1102 Macroeconomics 1 PHYS1131 Higher Physics 1A is what I would like to do next semester, but one of the physics lectures clashes with actuarial studies...Is it alright for someone who did not...

1. A=2, B=1, C=-2 by cross multiplying, then substituting x=4 which gets the A value, after which B and C come easily 2. K-funk's method is the straightforward HSC method that should be used in exams. If you want to, you can do it without induction (only do this in an exam if you have a ton of...

Let the circle equation be (x-a)²+(y-b)²=r², Since it passes through the origin, a²+b²=r² xy=1 y=1/x Substitute into circle, (x-a)²+[(1/x)-b]²=r²=a²+b²...

I'm doing a Commerce/Science degree majoring in actuarial studies and math but I'm concerned that this degree does no provide enough training in business related fields, with too much focus on maths (I enjoy maths, but am concerned that it doesnt lead anywhere in business) which may impact...

1. P=cos(2pi/7)+isin(2pi/7) P^7=cis(2pi)=1 P^7-1=0 (P-1)(1+P+P^2+...+P^6)=0 P is complex, so P=/=1 1+P+P^2+...+P^6=0 2. P+P^2+P^4 is a root of the quadratic x^2+ax+b=0, whose coefficients are real Thus its conjugate, P^-1 + P^-2 + P^-4 is also a root P^7=1 P^-1=(P^-1)(1)=P^-1(P^7)=P^6 Likewise...

THanks for the advice raginsheep^^ I was just wondering at how difficult discrete maths is; im sorta worried about it because it deals with set theory, number theory etc., stuff i havent done a lot of. Is the stuff learnt in discrete used alot in later math courses in actuarial? also, about the...

Im doing the B.Commerce/B.Science degree at UNSW, with the intention of majoring in actuarial studies and mathematics. However, I dont really like the recommended program that is on the unsw math department website for first year. I was wondering whether i am allowed switch the courses, MATH1081...

Alternative method: By inspection, u can group it this way: x⁴ - 2x³ - 3x² + 4x + 2 = 0 (x⁴ - 3x²+ 2)-2x(x² -2)=0 (x² -2)(x² -1)-2x(x² -2)=0 (x² -2)[x² -2x-1]=0 x=+-root2...

1.(b)(ii) mx=3 - 1/x² Solutions mx³ - 3x² + 1 = 0 represent x-coordinates of interesection between the line and the curve. Since we know the line is tangential to the curve, there will be a double root that represents this point of tangency. let f(x)=mx³ - 3x² + 1 f'(x)=3mx^2 -6x=0 x=0 is...

If anyone is interested, here is the 2004 paper for the HKALE Pure Maths course, the hong kong equivalent of 4u math. Some qs are rather hard, and soem are off syllabus, but they are good practise imo for harder type 4u questions

Got Late round B.Commerce (Actuarial)/B.Sci(Maths) at UNSW ^_^

These are double-variate reduction formula questions, i think its off-syllabus. (b) Let t=1-x dt=-dx I[m,n]=∫₁⁰(1-t)^mtⁿ(-dt) =∫₀¹tⁿ(1-t)^mdt=I[n,m]...

I have a question about macquarie enrolments, if i attend the enrolment day (22nd of january for me), and pick all my courses and fill in all the hecs-related forms, but receive a late round offer on the 31st, i can unenrol from macquarie by calling them up and enrol in my late round offer right?

Hello Ive been giving my choice of preferences a great deal of thought lately, but cannot really decide on which course to place first; I really enjoy, and am decent at doing math and am considering a course in actuarial studies. Im not sure about whether to choose Macq or UNSW. I also heard of...