 # KaieraAi

Members

10

## Community Reputation

1 Unknown ## Profile Information

• Gender
Female
• Exams
May 2014
• Country
United States
1. ## May 2014 Math SL Study Help - Mixed Questions

So here's my next question. I used a screen shot because I'm not sure how to make some of the symbols and such shown. ^^; Solution: The o symbol in these problems means 'of' so the second term is substituted for the x in the first term. A is therefore shown below: (f o g)(x)=beln(bx) This is not fully simplified, because the ln, as a power of e, will cancel it out. For instance: eln1 = 1 So for this problem, eln(bx) is just bx, so (f o g)(x) = b(bx) or b2x. For (g o f)(x) we substitute the entire term of f into g. ln[b(bex)] So where do I go from here? I have a hard time simplifying these types of equations.
2. ## May 2014 Math SL Study Help - Mixed Questions

Ohh thank you so much! And I will do that. Here is what the front page of my book looks like, it is also really easy to find free PDF files of this book if anyone is interested in using it.
3. ## May 2014 Math SL Study Help - Mixed Questions

So no one ever responded to my question yesterday, so I'm going to try and solve it again today, I'm using a reference on solving logarithmic equations from purplemath, I have the link here. So yesterday, I had simplified my answer down to 820ln2 = ln2(240-1) First off, I need to make the ln terms the same. I can change the term in parenthesis on the right side two ln terms instead, ln2+(40ln2/1) Now my equation looks something like this: 820ln2 = ln2 + (40ln2) Right? I think I'm getting a little stuck again, is this next step correct?
4. ## May 2014 Math SL Study Help - Mixed Questions

2 Show that the sum of the first forty terms of the series ln2 + ln4 + ln8 + ln16+... is 820ln2. Solution: For this question, it is not stated whether this is a geometric or arithmetic sequence, so we must figure this out. In an arithmetic sequence, the numbers would increase at the same interval, and in geometric, they would increase by the same ratio. In this one, they are increasing by the same ratio, and that ratio is 2. (Ratio can be found by dividing a term by the term before it, no matter what two consecutive terms you use you'll get the same result.) Now, we use the sum of a geometric sequence formula, as show below, and substitute in what we know. So here's where I start having an issue. As you can see in the file attached, I know what process to use, but I'm not very good at simplifying past that point. What do I do next? Reminder: This is a no calculator question.
5. ## May 2014 Math SL Study Help - Mixed Questions

Hello there! So I've been struggling with studying for this class, and it's been driving me nuts! You see, I took this class last year, but I had my schedule a little too packed and I really neglected the homework and such. Needless to say, I got a less than satisfactory grade on the final exam. So this year, I'm retaking it. Every day, or as many consecutive days and I can manage up to the date of the test, I'm going to post a math question with a worked example, or as worked as I can get it, asking for assistance. This way, if I get the answer correct, it can help anyone else out there struggling, and if I don't, someone else can hopefully provide insight? I also encourage anyone who is working on math questions in a similar manner to submit their own that they haven't been able to figure out. Thanks in advance for all the help! Chapter 25 - Miscellaneous Questions Part A - Non-Calculator Questions (page 652) 1. A geometric sequence has S1 = 2 and S2 = 8. Find: a the common ratio r b the twentieth term u20. Solution: First, common ratio r can be found by knowing the equation for the nth term of a geometric sequence, which is un=u1rn-1We can now substitute in what we know above, if the sum of the first term is 2, then u1 must also be 2. We can find the sum of the first two terms now, by subtracting u1 from S2, 8-2=6, so u2 is 6. Now we substitute this into the formula for the nth term given above. 6=2r, therefore r=3 Now we know what r is, and we can find any term we want using the same formula. u20=2(3)19This is a no calculator question, so the answer does not need to be simplified any more than it is above.
6. So here's the deal: I took Math SL last year and got a 3 on my exam. I'm trying realyl really hard to study this year around and retake the exam, but the problem is, I'm a very visual lerner,a nd in most cases, need to be able to see someone complete the process. For my older classes I used to be able to look up worked examples that teachers posted on youtube from older exams, but the math SL curriculum litereally just changed this year and I need something, like previous tests or similar style questions that will have worked examples. Does anyone have any suggestions? I was talking to my teacher from last year, but she doesn't have a free period when I do anymore. Short of trying to work examples out on here, I'm not sure... Thanks so much for the help!
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