A slew of MATH PROBLEMS; All for you guys ;)

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septoid2

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Alright guys, only respond if you know what you are doing. The answers to these problems determines 10% of my grade in math :p

Any help would be appreciated greatly :)

If f(x)=x^2

a) Sketch y=2f(1/2x)+1

b) State domain and range of the transformed graph.

For the following function y=-2cos(x-pi/2)-2

a) Sketch one complete cycle labelling all 5 major points (Make tables of values).

b) State domain and range of the cycle.

In the following geometric series..

1/2 + 1/4 + 1/8 + ..... 1/1024

a) Find a, r, n and tn

b) Find Sn

In the following arithmetic sequence

5/2 + 4 + 11/2 + .... 100

a) Find a, d, n and tn
b)Find Sn

Maria recieved an insurance settlement of $80,000 which she invested at 5.2% per annum, compounded monthly, to provide a payment each monthfor 10 years, starting next month.

a) How much will each payment be?
b)How much will Maria's insurance give her all together?



Thaaanks guys.
 

septoid2

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Out of 100 random questions on a culminating, those are the only ones I couldn't get, or didn't have time to. Argh.
 

AnthraX

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I decided to choose the easiest ones. At least for me. Sorry, I can't help you on the others. If you want me to show the work for this, just tell me, but for now I'll just tell you what I got.
In the following geometric series..

1/2 + 1/4 + 1/8 + ..... 1/1024

a) Find a, r, n and tn

b) Find Sn
In the following arithmetic sequence

5/2 + 4 + 11/2 + .... 100

a) Find a, d, n and tn
b)Find Sn

I couldn't tell what you needed for a, n, or tn. I assume the a was just the first term of the series? and n or tn would be the term number for the last number of the series. And that Sn was the sum of the numbers.

Geometric series:
a=1/2
r: 1/2
n or tn=8
Sn=255/256

Arithmetic series:
a=5/2
d= 3/2
n or tn= 66
Sn= 6765/2 or 3382.5
 

septoid2

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AnthraX said:
I decided to choose the easiest ones. At least for me. Sorry, I can't help you on the others. If you want me to show the work for this, just tell me, but for now I'll just tell you what I got.



I couldn't tell what you needed for a, n, or tn. I assume the a was just the first term of the series? and n or tn would be the term number for the last number of the series. And that Sn was the sum of the numbers.

Geometric series:
a=1/2
r: 1/2
n or tn=8
Sn=255/256

Arithmetic series:
a=5/2
d= 3/2
n or tn= 66
Sn= 6765/2 or 3382.5

Great I got the same results !! :)
 

AnthraX

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Heres your cosine equation graphed using the PowerToy Calculator.
Don't exactly know what the "5 major points" are.

Go here if you want it: http://www.microsoft.com/windowsxp/downloads/powertoys/xppowertoys.mspx

This stuff you have is weird. I just took a final over this today and yesterday, and we learned all this kind of stuff this year. However, this looks the same, but different. It's weird. I don't really know how to explain it. What math class is this for? I just finished my year of pre-calculus.
 

aliasaid

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2,400
septoid2 said:
quote:
--------------------------------------------------------------------------------
If f(x)=x^2

a) Sketch y=2f(1/2x)+1

b) State domain and range of the transformed graph


where it says f(1/2x)

is that 0.5x ? or 1/(2x) ?

its not very clear.. and it makes a huge difference...
 
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