Mathematics - 25 August 2007

6X^2+7X-3=0

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i really need help

2007-08-25 22:52:41 · 7 answers · asked by Anonymous

Solve the differential equation.

e^x dy/dx + 4e^x y = 3, x > 0

cos x dy/dx + y sin x = sin x cos x

2007-08-25 22:39:51 · 6 answers · asked by Anonymous

Cubed the root of (x-2) to the power of 9

2007-08-25 22:38:53 · 2 answers · asked by Angeli P 1

*Write down a differential equation to describe the following situations :

a) A pie just been taken out of the oven. The rate of decrease of the temperature T of the pie is proportional to the difference between T and the temperature T of the surrounding air.

b)John's water supply is stored in an upright cylindrical tank. Unfotunately the tank has developed a small hole in its base and water is leaking out at a rate proportional to the square root of the volume of water remaining.

2007-08-25 22:29:34 · 2 answers · asked by fashaleviana 1

Find the value of x in these special triangles.

http://tinypic.com/view.php?pic=4uwrh37
(Click on the link, once it pops up, click on it again to make it big.)

Please help me! I can't figure these out for anything! It's driving me crazy. Thank you!

2007-08-25 22:23:16 · 6 answers · asked by Randy M 1

2007-08-25 21:02:49 · 3 answers · asked by akhil g 1

it's for an astronomy lab that I really feel like a dumbass in.

2007-08-25 20:58:00 · 4 answers · asked by zuxozopi 1

using - add, subtract, multiply, divide

2007-08-25 20:46:40 · 4 answers · asked by nandha 1

Find the equation which x solves if x is the location of the minimum value of g(x) = (1/x) sin (pi*x) on the interval [1, 2].

Im not sure if this will help: Hint: consider g(3/2) and g'(3/2).

2007-08-25 20:39:51 · 1 answers · asked by DSS 1

2007-08-25 20:37:01 · 2 answers · asked by Anonymous

i know it seems so simple but i need someone to please remind me how to solve this promblem. Please tell me how you solved this problem !!!!! tnxs!

2007-08-25 20:30:33 · 8 answers · asked by Anonymous

Can someone please explain?

2007-08-25 20:12:18 · 6 answers · asked by shayrae_18 1

I really don't know :O

here's an example:

http://www.kumon.ne.jp/english/about/print/k.html

2007-08-25 20:06:08 · 7 answers · asked by Anonymous

A small mat is in the shape of a 225 degree-sector of a circle with diameter 7 m. Find the area covered by the piece of mat.

2007-08-25 19:34:11 · 4 answers · asked by Thereyahgo 1

The minute hand of a clock is 9.8cm long. How far does its tip move in 25 minutes????

2007-08-25 19:31:31 · 6 answers · asked by Thereyahgo 1

(a)Find for the following function:

(i)y = 4(2x3 – 3x)5
(ii)y =
(iii)y = 5(3x – 1)5(7 – 2x2)6(8 + x3)9
[7 marks]

(b) Find g’(4) given that f(4) = 3, f ’(4) = 4 and g(x) = f(x)
[3 marks]

(c) Suppose that the function f is differentiable everywhere and F(x) = x f(x). Express F(2007)(x) in terms of x and the derivatives of f.
[Note: F(2007)(x) means “the 2007th derivatives of F with respect to x]
[4 marks]

(d) A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a metre, while the remaining two sides will use standard fencing selling for $2 a metre. What are the dimensions of the rectangular plot of the greatest area that can be fenced in at the cost of $6000?
[5 marks]

(e) Find the area bounded by the x-axis and the curve y = x3 – x and the lines x =1, x = 2.
[4 marks]

(f) Suppose that p, q and t are positive. Which of the following two expressions is larger

(a) If 9 140 = + , and 0 < A < B, find the value of B when A is minimum.
[4 marks]

(b) x : y = 5 : 6, and (x – 6) : (y – 6) = 4 : 5. Find the values of x and y.
[4 marks]

(c) Two shops are having sale. Shop A will give their member 20% discount on any item and shop B will give 10% discount on any item and for their member, another 10% discount will be given on the top of the discount price. If you want to buy something during the sale, and you are the member of these two shops, which shops will you go? Support your answer with the calculation.
[4 marks]

(d) At a certain hamburger stand, the owner sold soft drinks out of two 16-gallon barrels. At the end of the first day, she wished to increase her profit, so she filled the soft-drink barrels with water, thus diluting the drink served. She repeated the procedure at the end of the second and the third days. At the end of the fourth day, she had 10 gallons remaining in the barrels, but they contained only 1 pint of pure drink. How much pure soft drink was served in the four days?
[4 marks]

(e) Alan, Ben and Calvin went to a casino. At the beginning of the night, the amount of money each had was in the ratios 7:6:5. At the end of the night, the ratio was 6:5:4. One of the players won $1200. What were the assets of each player at the beginning of the night?
[8 marks]

(f) Harry and his wife Ginny have a vegetable garden and a fruit orchard. Working together they can collect the harvest from the garden in 3 hours, whereas Ginny, working alone, require 12 hours. Furthermore, together they can harvest the orchard in 2 hours, whereas Harry, alone, takes 10 hours. It would seem that to harvest both the garden and the orchard, they should first spend 3 hours in garden and then 2 hours in the orchard, a total of 5 hours in all. However, Harry is much more skillful at picking vegetables and Ginny is better at picking fruit, so that they can save time by having Harry work in the garden and Ginny work in the orchard until one of them finishes. That person would help the other. How much time can they save in this manner?
[6 marks]

2007-08-25 19:22:54 · 2 answers · asked by Anonymous

I always have trouble remembering how to differentiate complex powers.

x^2 is easy! Its 2x!

But what happens when you have more powers than that?

What if you have 2^x^2 or 2^x^3^x ???

How do you handle these things?

2007-08-25 19:01:32 · 2 answers · asked by NuclearMessiah 2

1. For the three summer months (12 weeks), Job A pays $325 per month with a monthly raise of $100. Job B pays $50 per week with a weekly raise of $10. Which is the better paying job?
2. In a supermarket, cans of apple juice are displayed in a pyramid containng 12, 11, 10,..5 cans. How many cans are displayed?
3. Tasty Treats finds that its profit from he sale of ice cream increases by $5 per week during the 15 week summer season. If the profit for the first week is $30, find the profit for the season.
4. The sum of the first 5 terms of an arithmetic series is 85 and the sum of the first 6 terms is 123. Write the first 3 terms of the series.
Than k you

2007-08-25 18:54:03 · 3 answers · asked by Anonymous

2007-08-25 18:44:31 · 12 answers · asked by Anonymous

2007-08-25 18:18:48 · 7 answers · asked by Dennis K 1

Im really bad at this, please show me and explain all the steps to get the answer. thanks!!!!!!!!!!!

2007-08-25 17:29:41 · 7 answers · asked by shawna 2

2007-08-25 17:26:15 · 4 answers · asked by Anonymous

So I know that the angle between A and B is (AdotB)= |A| |B|Cos(theta). But I don't know how to find the angle between A+B

2007-08-25 17:13:25 · 5 answers · asked by math q 2

Trig is not my thing. Can someone please help me solve this question with step by step instructions please.
x is a real nuber such that 0 <=x<2pi

2007-08-25 17:10:04 · 5 answers · asked by pat 1

2007-08-25 16:47:33 · 12 answers · asked by Amy W 2

1. all prime numbers are odd

2. the sum off two numbers is always greater than the larger number

3. if the product of two numbers is even, then the two numbers must be even

4. if the product of two numbers is positive, then the two numbers must both be positive

5. the square root of a number "x" is always less then "x"

6. if "m" is a nonzero integer, then m+1 over m is always greater than 1

2007-08-25 16:19:17 · 6 answers · asked by shauna0126 1

2007-08-25 15:55:37 · 8 answers · asked by hp 1

2007-08-25 15:40:09 · 9 answers · asked by JILL S S 1

Can some one help me solve this question with step by step instructions please?

2007-08-25 15:37:17 · 8 answers · asked by pat 1

2007-08-25 15:27:36 · 3 answers · asked by porcha b 1