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Mathematics - 8 June 2007

[Selected]: All categories Science & Mathematics Mathematics

How do you find the arc length of the curve given by the parametric equations below, from the point where t = 1 to the point where t = 2.

x = sin t
y = e^t .

these were the possible solutions in the back of the book to choose from....

a. 4.7

b. 23.7

c. 24.1

d. 49.8

or is it none of these ?

2007-06-08 07:10:10 · 3 answers · asked by Doug 2

Assume that the earth moves around the sun in a circular orbit with a 92 million mile radius. Assume further that it takes 365 days to make one full circle. Then its orbital velocity, neglecting all other celestial motions, such as the motion of the solar system toward Vega or galactic rotation, etc., would be, in miles per second, correct to the nearest whole mile per second,


..... 27 miles per second ?

2007-06-08 07:05:17 · 7 answers · asked by chris 2

(2, π/2)

a. (-3^1/2, -1)
b. (3^1/2, -1)
c. (2^1/2, -2^1/2, )
d. (-2^1/2, -2^1/2, )
e. (0, 2)

2007-06-08 06:59:10 · 4 answers · asked by Jake 1

2007-06-08 06:58:10 · 7 answers · asked by SK8TERGURL~1~NOT~ 2/davesslave 6

how do u foil?

-y^3(2x^2y - 4xy^2)
3a^3b^2(-a^3b - a^2b^2)

2007-06-08 06:55:18 · 4 answers · asked by quinn 1

I need help with a math question I am assuming the question is fairly simple but I seem to be struggleing with it. Im not even sure what this operation is called. So If someone could show me how to solve problems like this and what the operation is called I would be grateful. here is 2 of the problems I posted two because they both seem very different.

1) 16x - 8 = ?

2) (3x - 2y)2 (the two on the end is squarewd not sure how to make a small 2 on this)

Thank you for your help.

2007-06-08 06:49:54 · 8 answers · asked by Anonymous

Parametric equations for the motion of an object are given below, where x and y are measured in meters and t is in seconds. How do you find the speed of the object in meters per second when t is 2 seconds.

x = 6 cos 5t
y = 6 sin 5t

I came up with a solution of 6. I'm not sure if this is correct or not.

2007-06-08 06:49:45 · 2 answers · asked by Doug 2

I'd like some help with the following, please:

Suppose f:R -> R is differentiable and never vanishes on R. Define g:R -> R by g(x) = lim (h -> 1) [f(hx)/(f(x)]^(1/(h-1)). Show that g is well defined all over R and find an expression that expresses g(x) knowing f'(x). What can be said about the continuity of g?

2007-06-08 06:43:04 · 2 answers · asked by Anonymous

or is it one of these choices?


a. 2e^2x cot e^2x

b. -2e^2x tan e^2x

c. -2e^2x (sec e^2x )(csc e^2x )

d. -2e^2x cot e^2x

e. 2e^2x tan e^2x

or none of these?

2007-06-08 06:42:01 · 4 answers · asked by Olivia 4

Let (X, M, u) be a measure space (X a set, M a sigma-algebra on X and u a measure defined on M). Suppose f_n is a sequence of measurable functions defined on X and with values on [0, oo]. If lim Integral f_n du = Integral f du < oo (integrals over X), then, for ever set E of M, it's true that lim Int_E f_n du = Int_E f du, the integrals being taken over E. This conclusion may, however, fail if lim Integral f_n du = Integral f du = ool.

I could prove the theorem for the finite case, but as for the infinite one, couldn't find yet an example of a measurable set E for which lim Integral_E f_n du = Integral_E f du does not hold (either because the limit on the left side doesn't exist or exists but is larger than the right hand side. By Fatou's Lemma, it can't be smaller).

2007-06-08 06:33:31 · 3 answers · asked by Steiner 7

this is trigonometry, this: 2cos6xcos2x=cos6x is supposedly equal to, cos2x=21 or cos6x=0 but I don't understand how this was reached.

2007-06-08 06:31:20 · 4 answers · asked by attilioi t 1

Given the values of x and y, find an equation of variation in which y varies directly as x.
y=15, when x=12

2007-06-08 06:28:11 · 8 answers · asked by PERSON!! 2

An outboard motor calls for a fuel mixture that has a gasonline to oil ratio of 50 to 1.
How many pints of oil should be added to 6 gallons of gasoline?

2007-06-08 06:26:44 · 6 answers · asked by aklepard 1

4,6,9,10,14,15,21,22,25,26,33,34,35,38,...?
so i think the pattern is these are number that only break down into two prime factors. so the next numbers should be 39, 46, and 51. but is there something else? and how would i figure out the general pattern?

2007-06-08 06:04:30 · 4 answers · asked by Lauren 1

if one person is selected from the group what is the probability that it would be a woman and prefers meat. If one person is selected from the group what is the probability that it would be a woman and prefers meat and fish.
if one person is selected from the group what is the probability that it would be a woman .

2007-06-08 05:34:46 · 7 answers · asked by olubode o 1

2 3 12 13 52 53 ___:
a. 54
b. 62
c. 182
d. 212
e. 240


10 7 11 12 9 13 14 ___:

a. 11
b. 15
c. 18
d. 19
e. 20

2007-06-08 05:11:12 · 8 answers · asked by Ms. Meeka 1

i need help with this quiestion

(5x+9)^2

2007-06-08 04:56:03 · 10 answers · asked by Is 2

please i need help with this quiestion

(6a+4^2)

2007-06-08 04:51:29 · 4 answers · asked by Is 2

does anyone know how to string vlooks together so that i can get multiple results back from a single reference .(column index number) ok..as an example
=VLOOKUP( A1,E:G,10,FALSE)

can i change the column refernce 10, to read 9,10,11,? so that i get 3 sets of data points back? using one refernce lookup..A1?

am i talking sense? by the way the avove formular was just an example..

2007-06-08 04:34:23 · 3 answers · asked by Anonymous

I NEED HELP WITH THE FOLLOWING QUIESTION

Translate the question into a proportion. Do not solve.
What percent of 125 is 10?

2007-06-08 04:31:41 · 6 answers · asked by Anonymous

log x=2
5

2007-06-08 04:21:00 · 6 answers · asked by Jacoby P 1

R'' + (1/r)R' - λR = 0

where *R* is a function of *r*; find the general form of R(r)

2007-06-08 04:03:15 · 1 answers · asked by WOMBAT, Manliness Expert 7

2007-06-08 04:02:15 · 14 answers · asked by akkenapally m 1

2007-06-08 03:57:36 · 5 answers · asked by sjvj05 1

(3.0 × 102) × (2.0 × 106) = ?

8.0 × 103
5.0 × 1012
6.0 × 108
6.0 × 104

2007-06-08 03:54:47 · 3 answers · asked by Anonymous

2007-06-08 03:42:04 · 4 answers · asked by Josephine B 1

???

2007-06-08 03:39:32 · 6 answers · asked by forevr.lonely 1

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