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  1. C

    binomial theorem qn

    It is 3^n - 2^n.
  2. C

    Do doctors study mathematical formulae in medical school?

    Data science is used in medicine and health. Areas that could be useful include NLP, computer vision. Any classification or regression task. The degree to which your knowledge of medicine will be useful, I don't know.
  3. C

    Do doctors study mathematical formulae in medical school?

    You could do it. Not sure how it will go.
  4. C

    Do doctors study mathematical formulae in medical school?

    Have you consider studying data science and becoming a doctor.
  5. C

    I feel like a failure.

    TAFE is a pathway to a degree. There are also other pathways depending on what you are interested in e.g. UTS College. Do research. Also nothing is stopping from completing an online degree. All the best.
  6. C

    how shud i approach this q

    Just use inspection. What happen as x -> 1 or infinity or 0. Review limits if need be. There various definitions that form limits. You need to combine them. e.g. standard definition, one sided, infinite limits, limits at infinity.
  7. C

    Derivatives and Asymptotes

    Questions: What will happen to the gradient as x->infinity or x->-infinity? When is the gradient positive or negative?
  8. C

    Does the value of K have to be integer in binomial theorem, I assume it does but want to double check

    Yes k needs to be integer. nCk is just the number of permutations in binomial theorem. Let say you want find the number permutation of XXXYY. That is just 5C3 if you choose 3 X's or equivalently 5C2 if you choose 2 Y's. As an exercise take a look at multinomial distribution
  9. C

    can someone explain y we times 2 in first line kinda ded so dk y sols did that

    Most likely coming from chain rule. Whenever the thing you are taking derivative of is not in the proper chain rule is required. In this case let u = tan^-1(x/3) To keep things simple try finding first d/dx (tan^-1(x/3)) use a online differentiation calculator if need be.
  10. C

    Want to know why this is wrong and how to do it

    The equal sign at (a) is incorrect.The trigonometric addition/subtraction angle identity has not been applied properly. Have another look at them again.
  11. C

    need help

    It is not exactly clear what are trying to ask. What ratio do you want the amplitude to be with respect to half the period. 1:180 or 1: i Presuming want the former than: y' = pi/180 * cos(x) This more complicated than if ratio is 1: i. As if you let pi radians = 180 degrees, you will end up...
  12. C

    What happens if you drop 4u math?

    Assuming you are not accelerated or anything you should 2 be taking Advanced Math. If you are accelerated you should have taken 2 unit HSC exam in the past
  13. C

    Linear question help

    You don't need to draw the parallelogram in this question. Maybe the opposite sides are not parallel who knows. You just need to find the distance. Distances are equal.
  14. C

    prelim Domain & Range of inverse trig function

    I will try to explain in words. So if (x, y) is a point in function f. Then (y, x) is a point on f^-1. The unit circle definition of sin is sin theta = y. The domain is given by -1 <= x <= 1. Using this domain we can determine the range of x^2 which in turn help us determine the range of...
  15. C

    prelim Domain & Range of inverse trig function

    By inspection -1 <= x <= 1 => The smallest value of x^2 is 0 and the largest is 1 You need to examine the domain.
  16. C

    Data science vs stats major

    Note: Not from USYD or familiar with economics what it's like to study them and how useful they each might be? Data science is data science. stats is stats If you want become data scientist then go with that. If you think stats might be useful for certain careers go with that. Data Scientist...
  17. C

    prelim Domain & Range of inverse trig function

    -1 <= x^2 <= 1 => -1 <= x <= 1 You need to take an inspection based approach for calculating range. The smallest value of x^2 is 0 and the largest is 1.
  18. C

    Computer Science vs Nursing.

    Cannot answer about effort as the only job I have ever done is an internship. It is not too bad. Don't know much about leadership opportunities but it is possible to move up ladder of course. Maybe search people up on Linkedln in manager or leadership roles to see skills.
  19. C

    Computer Science vs Nursing.

    whether it is actually easy to get a decent salary job? Yep but I'm not sure how the starting pay to work ratio? $35/h minimum I would expect equates to $70000/year roughly assuming your working around 35 hours week. That is 5 days a week. Note: Computer science is quite general it might help...
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