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Mathematics 17 Online
OpenStudy (thecalchater):

Calculus. Help?

OpenStudy (thecalchater):

@freckles @magepker728 @katherinkoon @dan815

OpenStudy (thecalchater):

For number 3 i got C

OpenStudy (thecalchater):

For 2 I got A

OpenStudy (dan815):

right

OpenStudy (thecalchater):

Not sure on the rest.

OpenStudy (thecalchater):

B for 4

OpenStudy (thecalchater):

So 1. ? 2. A 3. C 4. B 5. ? These are right and can you help with the other 2?

OpenStudy (agent0smith):

For question 1 just go through each statement one at a time and see if it's false.

OpenStudy (thecalchater):

#1 I think it is either c or d.

OpenStudy (thecalchater):

Are my other ones right?

OpenStudy (agent0smith):

I don't really want to check through five questions right now :P

OpenStudy (thecalchater):

You only check one of them dan checked the other 2 :)

OpenStudy (michele_laino):

question #1 please think about this function \(y=\ln x\) and its inverse

OpenStudy (thecalchater):

I'm confused...

OpenStudy (agent0smith):

Use that function and go through each option for #1, checking if it's true or false. Drawing a quick sketch of y=lnx might help.

OpenStudy (thecalchater):

|dw:1455047477394:dw|

OpenStudy (michele_laino):

otherwise, think about the trigonometric function \(y= \sin x\), and its inverse both functions increase or decrease

OpenStudy (thecalchater):

well the inverse is arcsin(x) and the graph is like this |dw:1455047774990:dw|

OpenStudy (thecalchater):

So it is D!?

OpenStudy (michele_laino):

yes! Here are the corresponding graphs:

OpenStudy (thecalchater):

alright and #5?

OpenStudy (agent0smith):

#5 is pretty straightforward. Use the formula for compound interest and plug numbers in.

OpenStudy (michele_laino):

I'm sorry, I'm not good with financial mathematics

OpenStudy (thecalchater):

What is the formula?

OpenStudy (agent0smith):

You must have seen it before. In your book or notes or something. Or google it.

OpenStudy (thecalchater):

Ok I found it but it just gives us n for the number of times it is compounded

OpenStudy (agent0smith):

The question gives you everything you need. The initial amount, the interest rate, and n.

OpenStudy (agent0smith):

And the time.

OpenStudy (thecalchater):

can you set it up and ill calculate it? the formula is A=P(1+r/n)^nt

OpenStudy (agent0smith):

I'm sure you can set it up, if you're in calculus... http://www.mathwarehouse.com/compound-interest/images/formula-compound-interest.png

OpenStudy (agent0smith):

For n = infinity you have to use the formula for continuous compounding, A=Pe^(rt)

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