Mathematics - 2 December 2007

Okay this one is REALLY complicated, SO PAY ATTENTION!
Find the volume of a plane:

Plane: x/a + y/b + z/c = 1
Bounded by: x/a + y/b = 1
x = a – ya/b
y=b

With the knowledge that: xoy plane z = 0
yoz plane x = 0
xoz plane y = 0

I tried using double integrals, but it is a NASTY change of variables and has some even more IRRITATING substitutions. I think I you need to use integration by parts, but I tried that and I’m getting nowhere! ANY help would be appreciated, I just ask that you show a lot of work!

2007-12-02 14:53:50 · 2 answers · asked by Hua Zhi X 1

2007-12-02 14:50:26 · 1 answers · asked by xpiinkladiiex 2

Let f(x),g(x) be any rational functions of x (over the rational numbers).Show that f(r) = g(r) => f(-r) = g(-r). [Note that we assume that if f(x) or g(x) is p(x)/q(x) then q(r) =/=0; so, for example, q(x) = x^2 - d is not allowed. Hint: observe that since r is irrational if a,b,c,d are rational then a + br = c + dr => a=c and b=d]

2007-12-02 14:48:45 · 1 answers · asked by neo85888 1

Let f(x)=x^6+16x^3. Find the local minimum and maximum points and values of the function f(x).

This problem was on my third calculus test and I got half of it correct, but I believe in actuality that I got the entire problem right.

I came up with two critical values of (x=0, x=-2)

Local Minimum at x=-2, with a value of -64
Local Maximum at x=0, with a value of 0

Could someone please double check this problem for me to make sure that it is in fact incorrect.

Thank You

2007-12-02 14:45:25 · 7 answers · asked by james_walker004 2

2007-12-02 14:38:08 · 8 answers · asked by sad 1

2007-12-02 14:26:31 · 1 answers · asked by Anonymous

2007-12-02 14:26:09 · 1 answers · asked by esmeralda g 1

unit convertion problem

2007-12-02 14:26:08 · 2 answers · asked by ocire7 1

2007-12-02 14:26:07 · 1 answers · asked by Anonymous

2007-12-02 14:22:06 · 9 answers · asked by Anonymous

how do u solve for A and B

2007-12-02 14:19:08 · 2 answers · asked by Malvern100 1

2007-12-02 14:18:37 · 1 answers · asked by Bob B 1

Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home driving that same route in the evening and averaged 30 miles per hour. If Esther spent a total of one hour commuting to and from work, how many miles did Esther drive to work in the morning?

2007-12-02 14:17:23 · 3 answers · asked by theshortaznswimmer 2

2007-12-02 14:16:18 · 3 answers · asked by Anonymous

In the xy-coordinate plane, the graph of x=y^2-4 (y-squared minus 4)
intersects line L at (0,p) and (5,t). What is the greatest possible value of the slope of L?

2007-12-02 14:16:13 · 1 answers · asked by theshortaznswimmer 2

find the volume of a freezer with length 3 feet, width 2 feet, and height 4 feet.

a. 24 ft^3 b. 9 ft^3 c. 9 ft^2 D. none of these

2007-12-02 14:12:21 · 11 answers · asked by sweety 2

squares from each corner and folding up the sides. If the volume of the tray is to be 160 cubic inches and x is to be an integer,what size squares should be cut from each corner?

2007-12-02 14:10:26 · 3 answers · asked by veggiesubextrapickels 1

A winch at the top of 12 meter high building pulls a pipe of the same length to a vertical position. The winch pulls in rope at a rate of -0.2 meters per second. Find the rate of the vertical change and the rate of the horizontal change at the end of the pipe when y=6.

if anyone could even tell me where to start that would be very helpful. i've been trying to figure this problem out for a while now. thanks in advance.

2007-12-02 14:06:20 · 1 answers · asked by live in the moment 2

2007-12-02 14:01:28 · 5 answers · asked by John F 1

1/2x+2/3=1/8x-3/2

i know i should be able to know this, but i completely forgot about it because he randomly put a really old problem from something we're not even doing on the test review. thanks!

2007-12-02 13:59:17 · 2 answers · asked by k4y14hhh 2

Suppose a is a constant between 0 and 1
Let R be the region between y=ax-x^2 and the x-axis from x=0 to x=1.

a) What is the volume of the solid obtained by rotating R about the x-axis?

b) What value of a creates the solid with the smallest volume?

2007-12-02 13:54:36 · 2 answers · asked by Anonymous

2007-12-02 13:52:54 · 5 answers · asked by Anonymous

2007-12-02 13:51:51 · 1 answers · asked by Anonymous

2007-12-02 13:50:14 · 11 answers · asked by Anonymous

Find the slope of the line passing theough the given points



1. (1,2) (6,7) 2. (-2,0) 2,5)


Formula:

Substitute:

Solve:



-----solve for both same way------

2007-12-02 13:49:53 · 3 answers · asked by Anonymous

Okay, so here's the problem. There's this guy (say James) who paid $15 to manufacture for a shoe. When he receives the pair of shoes, he has it marked to be sold at $21. So this customer (say Bob) comes with a counterfeit money of $50. Not knowing the the $50 is counterfeit James goes to his next door shop neighbor (say Mark) to get some change he James basically exchanges his counterfeit $50 for real $50. The James gives his customer Bob his change and the shoes. Later, the next day, Mark comes back to James to ask for a real $50 back when he (Mark) realized that the money was fake. How much money did James lose?

I think the answer is $94 but I also got a whole lot of other answers so I don't know. Please give your answer and an explanation.

Much thanks ^^

2007-12-02 13:48:19 · 5 answers · asked by Hideaki Takizawa 4

Im trying to figure out how to solve these problems

1) 2log(6) 4-1/3 log(6) 8=log(6)x

2) 2.3^(x^2)=66.6

3) e^2x-5e^x+6=0

4) ln 19.8 = ln e^0.083x

This on is tough
5) 4^x + 6(4^x)=5

The powere rule, quotient and product rules were what we were suposed to use.

Any help is much appriciated
Im just trying to figure out how to crack these step by step

2007-12-02 13:40:37 · 2 answers · asked by Anonymous

I'm going to try to explain the figure to the best of my ability. Side AB of the triangle is 18. Side BC is x. Side AC is 8. The angle coming from angle C is 130 degrees.

2007-12-02 13:39:57 · 1 answers · asked by aha51806 2

One number is 3 times another number. The sum of the smaller number and twice the larger number is 77. Write a system of equations that you could use to find the smaller number.

2007-12-02 13:39:20 · 7 answers · asked by Bad N 1

2007-12-02 13:35:08 · 9 answers · asked by Corey 1