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Mathematics - 8 August 2007

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the angles are between 0 degrees and 360degrees.these are two separate questions.

2007-08-08 23:22:36 · 2 answers · asked by Gretchen 1

hi,

i hate to do this for i become too much dependent relying on your answers., however, please help me with these few questions. it really makes my brain twist..

1.) a child is flying a kite at a height of 40 ft, that is moving horizontally at a rate of 3ft/sec. If the string is taut, at what rate is the string being paid out when the length of the string released is 50 ft?

2.) sand is being dropped at the rate of 10m^3/min into a conical pile. If the height of the pile is always twice the base radius, at what rate is the height increasing when the pile is 8m high?

PS
please show your solutions. i think, these 2 problems are examples of the application of derivative .
in question # 2, i get 0.597m/min, am i right??

aarghh...i certainly need an answer to this..

thank you so much to those who would help..
:-)good day!

2007-08-08 22:51:51 · 4 answers · asked by simply 3

Plz write the steps to get to the answer, as well as the method of integration you used. Also if any part needs some thing from a law or rule, the the fundamental theorom of calc, plz mention that u used it and where:

int() = integral ()

1. int(x^3 * e^(-x^2) dx)
2. int(x^3 * (2+x^2)^(5/2) dx
3. int( abs(cos^2(x) * sin(x)) dx) range of integral is 0 to 2 pi and abs is absolute value of
4. int(x*e^(sin(x^2))) dx) range is -1 pi to +1 pi and i know the answer is 0 because the function iside the int is like oscilating...forgot the term. but plz either show how you prove its is even(maybe thats the term) or plz solve the integral.

Tks a bunch. Just write the number of the question by your answer. tks again

2007-08-08 22:51:39 · 2 answers · asked by CGAR 2

hi there, i have know idea were to start in this question,

find the general solution of the equation
cos4& = cos3&

& = theta

do you have to use one of the trig identities?

thanks alot for your help!!

2007-08-08 22:42:20 · 5 answers · asked by purejoker 2

Find the angular velocity of a ferris wheel with a diameter of 208ft that takes 25secs to rotate once. Please express the answer in terms of pie. Thanks :)

2007-08-08 22:03:43 · 3 answers · asked by Anonymous

(1 +sin x)/ (1-sin x) = (sec x + tan x)^2

2007-08-08 20:32:43 · 3 answers · asked by Stormy Knight 1

A) 2w^2+22w+121/2w+11 B) 2w^2+22w+121/11
C) 2w+11/w+11 D)2w^2+22w+121/w^2+11w

2)Subtract. Simplify if possible
a)w-4/w - 5w -17/11w
b) 7/7r^2-7r- 3/7r-7
c) 2-y/y-8 - 7y-5/8-y

3)Subtract. Simplify by removing a factor of 1 when possible
6bp/b^2-p^2 - b-p/b+p

4) Perform the indicated operations and simplify.
v-5/v-8 - v+1/v+8 + v-56/v^2-64

2007-08-08 20:10:32 · 4 answers · asked by Jose D 1

2007-08-08 19:32:33 · 11 answers · asked by Anonymous

Differentiate with respect to x

a) [5tan4x]/4

b) In(3x-2/6x²)

2007-08-08 19:27:22 · 3 answers · asked by th3one101 2

2007-08-08 19:22:29 · 2 answers · asked by Zapking 2

A pool filling service charges $2.00 per cubic meter of water for the first 300 cubic meters and $1.50 per cubic meter of water after that. At this rate, how much would it cost to have the service fill a rectangular pool of uniform depth that is 2 meters deep, 20 meters long, and 15 meters wide?

2007-08-08 19:17:41 · 7 answers · asked by Ann 3

Jack did a study in which he looked at average frequency and length of words in a sentence. The average word frequency in his study was 11257 and sample size 50. another student disagreed and thought that the average word frequency was higher than the average word frequency a normal sentence should have. Jack find the average word frequency for a normal sentence 10666 occurrences per million and SD= 5000. jack finds his finding close to frequency and ignores the other student. Test hypothese using 2-tailed test and p less than .05. is jack right?

How do we do this ?

2007-08-08 19:17:06 · 1 answers · asked by aaachooooo 1

2007-08-08 18:45:39 · 4 answers · asked by Anonymous

Two tuna boats leave the same port traveling in opposite directions along the west coast of the United States. One boat travels 5 miles per hour faster than the other. At the end of one day of travel, they are 1080 miles apart. What is the speed of the faster boat?

A. 20
B. 25
C. 30
D. 35
E. 40

2007-08-08 18:12:00 · 4 answers · asked by Moohlah. 2

Approximate the following logarithms using the properties of logarithms given

log base b (216)=

log base b (100)=

log base b (125b^4)=

I will be forever gratful

2007-08-08 17:47:48 · 2 answers · asked by Anonymous

a piece of fruit, how many peaches would she have?

2007-08-08 17:47:30 · 4 answers · asked by Anonymous

2

2007-08-08 17:30:06 · 4 answers · asked by Roy N 1

What is Half of a Half... I go with half. Some people say a quarter. I guess it depends on how you look at it. What do you say?

2007-08-08 17:27:28 · 17 answers · asked by daniel 2

2007-08-08 17:22:52 · 8 answers · asked by rudy t 1

item falls 50 feet after 2 seconds
solve
s(2)=-16(2)^2+10(2)+50

2007-08-08 17:19:02 · 2 answers · asked by Anonymous

9x^2 + 36y^2 + 54x - 144y - 99 = 0

2007-08-08 17:11:24 · 3 answers · asked by tochau 5

A tree casts a shadow of 27 feet. A person 5 feet tall casts a shadow of 2 feet. What is the height of the tree?

2007-08-08 17:08:01 · 13 answers · asked by michelah b 2

2007-08-08 16:59:04 · 17 answers · asked by Anonymous

the 3 is squareroot and cos is square but not x.Solve the following equations for 0 degrees to 360 degrees

2007-08-08 16:58:17 · 2 answers · asked by Gretchen 1

Imagine the letter "s" to be squares.
- S S
S S S S
- S S
Now the trick is to arrange the numbers 1-8 so that no consecutive numbers touch, either next to each other or corners. Oh and its not a homework assisgnment. Pay no attention to the "-" I just needed a place holder so that the letter s would be arranged to fit the problem.

2007-08-08 16:54:44 · 10 answers · asked by Mr. Sir 5

2007-08-08 16:41:14 · 13 answers · asked by Damn™ the Man 3

Suppose such sequence is in a compact set of R^n. Show the set of its subsequential limits is connected.

Thank you.

2007-08-08 16:26:31 · 3 answers · asked by Melissa 1

My question is "verify that v defined by

v = 49/40 - 1/5(x^4 - 6x^2y^2 + y^4) is harmonic and that, when |x|<1 and |y|=1, -0.025 <= v - 1 - x^2 <= 0.025".

How do I show the function is harmonic? I think I have to transform it into a sine/cosine function but I don't know how.

2007-08-08 16:25:39 · 3 answers · asked by Anonymous

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