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I was going to recommend python course. This should be enough for the programming fundamentals. Object-oriented programming is covered but I don't know if it will be in enough detail.

Most likely it won't matter. According to the website: Under assumed knowledge: "any two units of Science. Chemistry and Biology are recommended." In other words you should have no trouble with early entry.

Are there any specific topics that you are interested?

consider seeing a doctor

It will depend on your interpretation of the question. i.e. do f(x) and 1/f(x) have the same domain? I would personally mark your answer as correct.

Ignore carrotsss. The key point is that you demonstrate sufficient understanding. The only possible scenario you will get marks deducted if is a question ask for the exact answer and you provide an approximate answer. There is also intermediate rounding error but most likely you will not...

So if you want horizontally stretch a function let say f(x) by a factor of n. The transformation is f(x/n) A vertical stretch is done by replace y with y/n. So if you want vertically stretch something by factor n then let y/n = f(x). => y=nf(x) Likewise performing horizontal shift works as...

I pasted an example below although it is more related trig sketching. See if you can understand it. Question: How to sketch Cos(2x-pi/3) There two transformations going on, the horizontal stretch and the phase shift (i.e. horizontal shift). To stretch a function horizontally by factor of n...

If you add couple of example questions and your attempt that will be useful

yep made a typo. Fix it it now.

Correction: |{JJ, JQ, QJ, KJ, JK}| = 5 |{JJ}|/|{JJ, JQ, QJ, KJ, JK}| = 1/5

I agree with your assessment for 18c). Most likely there is mistake in the textbook if the answer given is 1/5

The solution for Q37 seems be given in the picture you posted. The first step would be figure out what you don't understand

Without knowing the exact context diagram appeared in it is hard to say. But if I were to have guess, the participants are helping information system function. Basically they are carrying out the procedures. In contrast the users are the customers

1) Prove if P(X, Y|Z) = P(X|Z)P(Y|Z) then P(X|Y, Z) = P(X|Z) # conditional independence 2) integral 1/x^2 dx from -1 to 1 3) lim x->0 sqrt(x^2)/x 4) The coupon collection problem. 5) The secretary problem Refer to wikipedia for problem description of secretary and coupon collection. For 1)...

why don't you email your teacher

It would be good if you could provide the working out.

How is set N defined . The definition is {0, 1, 2, 3, ...}? What I would do is write down expression involving sigma. I would then consider the arithmetico-geometric series perhaps. Will need to think about it.

Enterprise computing can be good if you want to get into coding. Since you seem interested in mathematics it will be good if you have knowledge of coding so you can understand pseudocode and algorithms. There is also data science content.

You can draw a triangle. For completeness draw two triangles one in the first quadrant and second quadrant. Then make use of the period to generalise your result.