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  1. C

    Binomial probability

    17, 13 are included. The is because 13, 17 meet the criteria.
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    work experience for med or any research facility

    It is not a work experience projects however you perhaps you might want to consider a Kaggle competition. There are medical projects. However data sets are quite large e.g. 400GB. So you probably want to consider a smaller project as a warm up. There are numerous data science courses on Udemy...
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    How to Get Better Conceptual Understanding in Subjects

    There are many theorem and axioms. Unfortunately, some of content can be quite advance so you may need accept a theorem at face value but understand what it means. Similarly you could get stuck on various low level details like how do you prove a/b * c/d = ac/bd. What you want to instead do is...
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    maths question help

    yes
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    maths question help

    I can't remember the precise theorem but there is one that you can use to state <PQT = <RPT. Using the fact a tangent to radius is 90 degrees we can state that <QPT = 90 degrees. From there it is quite easy to prove similarity.
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    maths question help

    do you have the full question is looks like it has being cut off?
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    MX1 Question

    Basically when you differentiate y you just add dy/dx. This comes from the chain rules since. d f(y)/dx = dy/dx * df(y)/dy E.g., d/dx y^2 = 2y*dy/dx carrotsss is another way to do it without using implicit differentiation.
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    MX1 Question

    Definition of inverse function: So if (x, y) is a point of function f, then (y, x) is a point of f^-1. According to the definition we swap the coordinates since (x, y) is swapped so it becomes (y, x) => x = 2y(y+3)^6 From there take the derivative on both sides using implicit differentiation...
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    Looking for help on how to approach an interview

    You can mention the school values
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    Looking for help on how to approach an interview

    Interview questions Tell me about yourself Why do you want to study at Sydney Grammar? Tell me about a time when you have supported, led or effectively worked with others. Describe a time when something you were working on did not go as planned. What did you do and what did you learn? Give an...
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    Log Laws

    So the log function is monotonically increasing. I am not sure what you mean by inequalities.
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    separable equation via substituion

    I will leave you to it
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    separable equation via substituion

    It is not that hard to quickly learn. You have asked how to solve it without substitution
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    separable equation via substituion

    So it turns out the differential equation is a bernoulli differential equation. From there you can figure out the substitution required. https://www.wolframalpha.com/input?i=y'+=+(x^2+y^2)/xy
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    separable equation via substituion

    You don't. If you think a method may work then you should attempt that method. It does not always have to be substitution.
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    binomials help ;/

    Question is very easy. Just apply binomial theorem. Why is nCr used in binomial theorem?
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    Will doing a certificate first increase my time at uni?

    So each semester is 24 credit points. So if you complete 150 credits points in a year you would completed 3 years of study. The certificate you are doing is quite basic. Most likely you will get recognition of prior learning if you change courses. I would just go with USYD. That would be much...
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    Multidimensional array vs array of records

    So array is generally ordered i.e. order of the elements matter. That is depending on the index you pass you will get a different element. So in example we gave arr_records = [{name:"XYZ", age: 9}, {name:"NMJ", age: 14}] print(arr_records[0]) will output {name:"XYZ", age: 9}...
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    Multidimensional array vs array of records

    multidimensional array is array with 2 or more dimension. For each dimension you will need to provide a index if you want to access an element. So an example would be an RGB image. 1st dimension row, 2nd dimension column, 3rd dimension the channel (e.g. R, G or B). When you say array of records...
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    question on increasing function

    No, you want find {x : 0<= g(x) <= 5}. Notice x = 3.5 satisfies the condition. #so surely that means f takes values from 2 to 5? so I'm not sure how you are getting 3.5? This is not what the question is asking. When we consider domain we need to consider values of x not g(x).
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