Calling All Algebra Wizzes

[saj21187 10+ year member]

Ok i have a giant workbook of problems due for my algebra class Friday and I have just about everything done accept this one that im completely lost on. My teachers a dick and doesnt really teach so most of the class i had to learn on my own but this is wayyy over my head so maybe someone here could help me. There are a few crappy pics he drew that will be attached below. The questions are:

You can see arches almost everywhere you look, in windows, entryways, tunnels and bridges. Common arch shapes are semicircles, semiellipses and parabolas. When constructed on a level base, arches are symmetric from left to right.

 

A semicircular arch has the property that its base is twice as wide as its height. This ratio can be modified by placing a rectangular area under the semicircle, giving a shape known as a Norman arch. This approach gives a tunnel or room a vaulted ceiling. Parabolic arches can also be created to give a more vaulted appearance.

 

When modeling the following arches set a coordinate system up in such a way that the origin of the coordinate system is the center of the base of the arch.( pictures are the 1st set at bottom of the page)

1) Show that the function that models a semicircular arch of radius r is h(x)= the square root of (r^2)-(x^2). (sorry i dont know how to type sq roots on the comp).

2) Write a function h(x) that models a semicircular arch that is 15 feet tall. How wide is the arch?

3) Write a function n(x) that models a Norman arch that is 15 feet tall and 16 feet wide at the base

4) Parabolic arches are typically modeled by using the function p(x)= H-ax^2, where H is the height of the arch. Write a function p(x) for an arch that is 15 feet tall and 16 feet wide at the base.

5) Would a truck that is 12 feet talland 9 feet wide fit through all three arches? How could you fix any of the arches that are too small so that the truck would fit through? Justify your answer in each case by drawing a detailed picture or constructing a scale model.

6) Pick any one of the window designs and determine the largest rectangle that will fit through the window: show the function that gives the area and also show what the maximum value of the function is using your graphing calculator. (these are the second set of pictures below)

Thank you soooooo much for anyone that can help me with this problem. It is driving me nuts and im sure there are much smarter people out there than me that can figure this thing out. I also might just have some 1/0 and 4 guage cable waiting for anyone that can help me with this.//content.invisioncic.com/y282845/emoticons/smile.gif.1ebc41e1811405b213edfc4622c41e27.gif The pics my teacher gave me are below. THANKS!!

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[matrxx dude 5,000+ posts]

thats some crazy shit.lol

 

[mattmcss 10+ year member]

I'd love to work some of these out for you, but i've been studying all evening for a final tomorrow, when is this due by or when do you want to know this info ?

 

[saj21187 10+ year member]

For real wtf. I mean i have gotten As in every math class since i can remember, done alot of algebra and geometry stuff and found it pretty easy, and even some trig and calc. We have a binder of like 30 problems we had to have done by end of the semester and this one gives me a headache every time i attempt it. SOMEONE help me pleassse!!

 

[saj21187 10+ year member]

I'd love to work some of these out for you, but i've been studying all evening for a final tomorrow, when is this due by or when do you want to know this info ?

Im in the same boat i have 3 finals tomorow starting at 7 am. Half the book(this problem included) has to be in by tuesday afternoon and the other half which is already done is due friday. any help is greatly appreciated

 

[maldecido33 10+ year member]

I'd love to work some of these out for you, but i've been studying all evening for a final tomorrow, when is this due by or when do you want to know this info ?

same here

linear algebra final i've got tomorrow at 10:30 AM i've been studying for

i'm a math minor; i'd be down to help you so long as it's not due till after tomorrow

 

[saj21187 10+ year member]

same here
linear algebra final i've got tomorrow at 10:30 AM i've been studying for

i'm a math minor; i'd be down to help you so long as it's not due till after tomorrow

That would be great man, like i said i just need it buy tuesday afternoon. Im in "advanced algebra" not sure where that falls really, but im sure we dabble in a little bit of the same stuff. This is my 3rd algebra class ive taken, and by far the hardest. thank you!

 

[mattmcss 10+ year member]

I'll see what I can do with these at work tomorrow, and hopefully get you goin by tomorrow night.

 

[saj21187 10+ year member]

I'll see what I can do with these at work tomorrow, and hopefully get you goin by tomorrow night.

cool thanks alot man. i hate puting this shit on a forum and asking for help that way, but ive been staring at this problem for a week straight and there isnt anybody i know that knows anything past basic algebra, geometry.

 

[mattmcss 10+ year member]

wish you woulda posted it sooner, give us more time to answer.

 

[saj21187 10+ year member]

Yea i know and i dont expect anyone to bust there *** trying to do it. I just thought someone here with more brains than me would laugh at my stupidity and point out how easy of a problem it is . I really didnt want to have to stoop to having other people doing my hw, but i honestly am not smart enough to figure this ***** out. but any help tomorow or tuesday morning is appreciated greatly.