# Differentiate with respect to theta Y=((sin3theta)(tan3theta))^12

5,375 results
1. ## Calculus

Differentiate with respect to theta Y=((sin3theta)(tan3theta))^12

asked by Kate on February 11, 2013
2. ## maths

show that sin3theta-cos2theta =(1-sin theta)(4sin squared theta + 2sin theta -1)

asked by victor2 on August 3, 2011
3. ## maths

show that sin3theta-cos2theta =(1-sin theta)(4sin squared theta + 2sin theta -1)

asked by victor2 on August 3, 2011
4. ## related rates with work shown

this is a relate rates problem in calculus in a right triangle, the hypotenuse is 5 and the vertical side is x and the angle is theta. so if theta increases at a constant rate of 3 radians per minute, at what rate is x increasing in units per minute when x

asked by Anonymous on April 15, 2007
5. ## calculus

a billboard 20ft tall is located on top of a building with its lower edge 60 ft above the level of a viewers eye. how far from a point directly below the sign should a viewer stand to maximize the angle (theta) between the lines of sight of the top and

asked by rachel on November 7, 2011
6. ## trig math

Prove that tan(theta)tan(60+theta)=tan3theta

asked by Rajesh kumar on December 18, 2011
7. ## trig

h t t p : / / i m g 4 0 . i m a g e s h a c k . u s / c o n t e n t . p h p ? p a g e = d o n e& l = i m g 4 0 / 1 4 8 / a s d a s d y e . j p g & v i a = m u p l o a d (def of tan theta = a^-1 o)a = o opposite = adjacent tan theta written with respect to

asked by trig on September 6, 2009
8. ## Math

Find the instantaneous rate of change of r with respect to theta for r = (theta/2)- (1/theta).

asked by Emma on November 14, 2011
9. ## trigo help!

1. differentiate cos(3/x) 2. differentiate sin(4/x) 3. differentiate 3/{sin(3x+pi)} 4. differentiate pxsin(q/x)where p and q are constants. 5. differentiate xsin(a/x) where a is constant 6. differentiate sec^3(3x^2+1)

asked by I'm stumped on June 19, 2009
10. ## Calculus

I wanted to confirm that I solved these problems correctly (we had to convert the polar curves to Cartesian equations). 1.rcos(theta)=1 x=1 2.r=2*sin(theta)+2*cos(theta) r^2=2rsin(theta)+2rcos(theta) x^2+y^2=2y+2x (a little unsure what do next if this is

asked by Joshua on March 13, 2009
11. ## Calculus

Determine the intervals on which the function is concave up and concave down f(theta) = 21theta + 21Sin^2(theta), [0,pi] I have tried to implicitly differentiate but I am getting nowhere,... can anyone please help?

asked by Henry on March 31, 2013
12. ## trig

If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta.

asked by Julise Alliance on March 1, 2013
13. ## Precalculus(NEED HELP ASAP PLEASE!!)

cot(theta)= 3 pi < theta < 3pi/2 Find: sin(theta)= -1 ? cos(theta)= -3 ? tan(theta)= 1/3 ? sec(theta)= -1/3 ? csc(theta)= -1 ? That's what I came up with, but they are not correct, PLEASE help me where I went wrong!!

asked by jh on March 28, 2010
14. ## math

knowing that 2(theta) can be written as theta + theta, find the expression for sin2(theta) and cos2(theta). Is it 2sin(theta)cos(theta)?

asked by Steve on March 31, 2013
15. ## calculus

the equation V=U^5=7sqrtW-WZ relates the variables, V,U,W,Z. differentiate with respect to T to get the wquation which relates the rates of change with respect to T?

asked by Anonymous on October 11, 2011
16. ## math

If cos(3 x)6Ó14 x e^2 y=0, find [ dy/dx] using implicit differentiation. In this problem, you should differentiate both sides of this equation with respect to x. First, using implicit differentiation, differentiate the left side of the equation with

asked by Zhao on September 30, 2012
17. ## math;)

Julia wants to simplify the term sec^2 theta-1/cot^2 theta+1 in a trigonometric identity that she is proving. Which of the following identities should use to help her? Select all that apply. (2 ANSWERS) a. sin^2 theta+cos^2 theta=1 b. sec^2 theta-tan^2

asked by girly girl on April 23, 2018
18. ## Definite Integrals

Integral of theta^3*lnsintheta with respect to theta from 0 to pi

asked by alsa on June 27, 2012
19. ## Math

Which of the following functions have a vertical asymptote for values of theta such that cos theta = 1? Select two answers. y = sin theta y = cos theta y = tan theta y = sec theta y = csc theta y = cot theta I know what all these functions look like, but I

asked by Max on February 10, 2018

Identify the polar form of the linear equation 4x+3y=10. x=rcos(theta),y=rsin(theta) 4x+3y=4rcos(theta)+3rsin(theta)=10 r=10/(4cos(theta)+3sin(theta) I got it wrong

asked by Jon on August 6, 2009
21. ## Math

An angle theta satisfies the relation (csc theta)(cos theta)=-1 Give an example of information needed to determine a unique value for theta If sec theta is known to be negative, what is the csc theta value of theta?

asked by Saniya on February 24, 2017
22. ## math;)

What is a simplified form of the expression (sec^3 theta) - (sec theta/cot^2 theta)? a. 0 b. sec theta-tan theta c. cos theta d. sec theta***** Every time I attempt to work out this problem I end up with one. I know the answer is sec theta, but I do not

asked by girly girl on April 27, 2018
23. ## math

Differentiate s=(2-t)^2 with respect to t

asked by math on September 16, 2017
24. ## Calculus

Finding critical numbers g(theta) = 16(theta) - 4tan(theta) I can only get the derivative of g to be g'(theta) = 16 - 4sec^2(theta). Am I supposed to move on to get sec^2(theta) = 4, then sec(theta) = 2?

asked by Justin on October 4, 2015
25. ## Calculus 1

A 10m ladder leans against a wall at an angle theta with the horizontal. The top of the ladder is x metres above the ground. If the bottom of the ladder is pushed towards the wall, find the rate at which x changes with respect to theta when theta equals 60

asked by Yain on April 22, 2012
26. ## Algebra II

Multiple Choice Which expression is NOT equivalent to 1? (theta) means 0 with dash in it. A.)sin^2 (theta)+cot^2 (theta) sin^2 (theta) B.)(sin^(theta))/(1-cos(theta))-cos(theta) C,)sec^2 (theta)+ tan^2 (theta) D.)(cot^2(theta) sin^2 (theta))/(cos^2(theta))

asked by HotMath on June 9, 2011
27. ## Mathematics

Differentiate the following function with respect to x a) ln((2x-1/1+x)^1/2)

asked by Syam on January 5, 2015
28. ## Math

Differentiate cos^2 x w/ respect to x

asked by Anonymous on November 4, 2012
29. ## Math

Differentiate cos^2 x w/ respect to x.

asked by Nyx on November 5, 2012
30. ## Math

Differentiate cos^2 x w/ respect to x

asked by Anonymous on November 4, 2012
31. ## MBA – I/ Semester – I math

Differentiate following with respect to x f(x) = (3x^2 – 5ax + a^2)^4

asked by anil on October 4, 2011
32. ## Calculus

Differentiate each function with respect to x: F(x)=x/(x+1)^1/2

asked by Sm on September 22, 2015
33. ## Calculus

Differentiate with respect to x 1/sin x

asked by somay on July 19, 2016
34. ## calculus

Differentiate with respect to x (3x^2-5ax+a^2)^4

asked by Anonymous on September 22, 2011
35. ## calculus

y=2^nx differentiate with respect to x using the first principle

asked by edward on August 23, 2015
36. ## Physics

An object is shot at 20m/s at an angle theta. The object lands 24m away. What is the angle? Can you check if I am doing this right? I had v(initial) = 20 m/s g = 9.8 m/s^2 x = 24m 1st I solved for time: x = v(initial) t x = v(initial) cos(theta) t 24 = 20

asked by Dreskillz89 on September 22, 2009
37. ## trig

If cosecant of theta equals 3 and cosine of theta is less than zero, find sine of theta, cosine of theta, tangent of theta, cotangent of theta and secant of theta

asked by Ana on February 15, 2012
38. ## Maths- complex numbers

Find tan(3 theta) in terms of tan theta Use the formula tan (a + b) = (tan a + tan b)/[1 - tan a tan b) in two steps. First, let a = b = theta and get a formula for tan (2 theta). tan (2 theta) = 2 tan theta/[(1 - tan theta)^2] Then write down the equation

asked by Jake on February 13, 2007
39. ## Calculus :(

Differentiate with respect to (t). y = d cos(t) + (t^2)sin(t)

asked by Melish on March 20, 2014
40. ## mba

Differentiate following with respect to x. (3x2 – 5ax + a2)4

asked by anil on October 4, 2011
41. ## MBA – I/ Semester – I math

Differentiate following with respect to x. (3x2 – 5ax + a2)4

asked by anil on October 4, 2011
42. ## Calculus 2

Write in cartesian form: r=3tan(theta)sec(theta) im working with this function here, trying to get an rcos(theta) and/or rsin(theta) so far, i am stumped. what i have so far: r^2=3r(tan(theta)sec(theta)) (x^2+y^2)=?????

asked by Mike on April 27, 2011
43. ## Math

Justin wants to evaluate 3cot(-5pi/4). Which of the following identities can he use to help him? Select two answers. cot(-theta) = cot(theta) cot(-theta) = -cot(theta) cot(-theta) = cot(-theta) cot(theta + pi) = cot(theta) cot(theta + 2pi) = cot(theta)

asked by Max on February 12, 2018
44. ## Precalculus

Circle O below has radius 1. Eight segment lengths are labeled with lowercase letters. Six of these equal a trigonometric function of theta. Your answer to this problem should be a six letter sequence whose letters represent the segment lengths that equal

asked by Human on September 25, 2016
45. ## Algebra2

The function f(theta) and g (theta) are sine functions where f(0)=g(0)=0. The amplitude of f (theta) is twice the amplitude of g(theta). The period of f(theta) is one-half the period of g(theta). If g (theta) has a period of 2pi and fpi/4=4. Write the

asked by steve on May 11, 2017
46. ## Math

angle theta is in the standard position and 0'=

asked by Han on June 11, 2014
47. ## trig

If theta is the measure of an angle in standard position with the given conditions, find the quadrant(s) in which the terminal side of theta lies. a) cot theta < 0 b) cos theta > 0 , csc theta < 0

asked by Anonymous on January 27, 2012
48. ## Trig

Solve the following interval 0

asked by Kay on October 24, 2007
49. ## Trigonometry

Thank you STEVE!!!!! Suppose that Cos (theta) = 1/square root 2 if 0

asked by George on January 23, 2013
50. ## Trigonometry

I don't understand how I'm supposed set the problem up or what theta is... Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. sec theta = 5, tan theta 2 *

asked by Chris on April 24, 2009
51. ## trig

Hi there! I NEED SERIOUS HELP, PLEASE!!! i have such a hard time with verifying identities! The question is: [(sin(theta/2)) / csc(theta/2)] + [(cos (theta/2) / sec(theta/2)] = 1 I have a few ideas on how to solve this, but am mainly not sure how to get

asked by stephani on June 11, 2014
52. ## Pre-Calculus

Which is the polar form of the parametric equations x=5cos(theta) and y=5sin(theta) ? a. r= 5(theta) b. r= 5 c. r= 25 cos (theta) sin (theta)***** d. r= 25cos^2 (theta) + 25sin^2 (theta) Which is the polar form of the parametric equations x=4t and y=t^2?

asked by Vsuf on May 22, 2018

Find exact values for all the solutions to the equation cos theta = sqrt 3/2 for -2pi

asked by George on November 8, 2014
54. ## calculus(differentian)

x=(6-2y²)/(1+y) differentiate with respect to y I saw this in a question here but..I don't get how the person go that answer.

asked by Yoona on December 4, 2011
55. ## Precalculus(NEED HELP ASAP PLEASE!!)

PLEASE HELP!! csc(theta)= -3/2 3pi/2 < theta < 2pi Find: sin(theta)= _____ ? cos(theta)= _____ ? tan(theta)= _____ ? cot(theta)= _____ ? sec(theta)= _____ ?

asked by jh on March 28, 2010
56. ## calculus

A ladder 14 ft long rests against a vertical wall. Let \theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does

asked by peter on May 4, 2010

A ladder 20 ft long rests against a vertical wall. Let \theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does

asked by Jennifer on April 28, 2010
58. ## Math

A ladder 20 ft long rests against a vertical wall. Let \theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does

asked by Jennifer on April 28, 2010
59. ## Math

A ladder 20 ft long rests against a vertical wall. Let \theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does

asked by Jennifer on April 28, 2010
60. ## math

A ladder 14 ft long rests against a vertical wall. Let \theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does

asked by peter on May 4, 2010
61. ## Mathamatics

Solve the following trigonometry identities. a) 1-cos2(theta) = sin(theta)cos(theta)/cot(theta) b) (1-cos2(theta))(1-tan2(theta))=sin2(theta)-2sin4(theta)/1-sin2(theta) *its supposed to be cos to the power of two, sin to the power of four, etc. There is

asked by Zoë on May 29, 2014
62. ## trigonometry

can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= -cos theta c. tan (810 + theta)= ????? d. sin (theta - 180)= -sin theta

asked by Anonymous on February 9, 2011
63. ## trigonomtry

can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= -cos theta c. tan (810 + theta)= ????? d. sin (theta - 180)= -sin theta

asked by Anonymous on February 8, 2011
64. ## trigonometry

can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= -cos theta c. tan (810 + theta)= ????? d. sin (theta - 180)= -sin theta

asked by anon on February 11, 2011
65. ## maths

Prove that sin3theta=3sintheta-4sin^3theta

asked by chama on March 14, 2012
66. ## Calculus

If cos of theta= -7/12 and theta is in quadrant 2 then find a. tan(theta) cot (theta)= b. csc(theta) tan(theta)= c. sin^2(theta)+ cos^2(theta)=

asked by Bob on April 9, 2017
67. ## physics

A crate slides down an incline right angled trough. The coefficient of kinetic friction between the crate and the trought is mew_k(not sure if i spelt it right). What is the acceleration of the crate in terms of mew_k theda and g? I think I need to use

asked by Brian on November 28, 2006
68. ## Mathematics

Differentiate the following with respect to P: A)567K b)897PK c)23P^-1 d)2KP^6+4P^5+P^4+6K^3-K^2-329K-10,000

asked by Ted on September 7, 2008
69. ## trig

Find csc(theta), tan (theta), and cos (theta), where theta is the angle shown in the figure. Give exact values, not decimal approximations c=10 b=7 a=7.14 the right angle is locate between sides a and b and the theta angle is an acutle angle sides b and c.

asked by Joey on March 24, 2014
70. ## Math Trig Help

sin theta = x/3, with theta in the first quadrant, find the expression for cos theta and tan theta. Answers will be in algebraic terms of x. Give exact answers with 0 < theta

asked by Leeroy on November 7, 2014
71. ## math (trig)

if cos 2 theta = -(1/3) and theta is in Quadrant 2, find sin theta, cos theta, tan theta, and draw triangle theta

asked by Jeff on January 21, 2011
72. ## help help helpppp--math

1)Use the definitions sin0(theta) = y/r, cos0(theta) = x/r and/or tan0(theta) = y/x to prove that cot0(theta) = 1/tan0(theta) 2)For all 0(theta) prove: a)cos(t) = 1/sec0(theta) b. sec(t) = 1/cos0(theta)

asked by abeer on April 30, 2012
73. ## Math

1)Use the definitions sin0(theta) = y/r, cos0(theta) = x/r and/or tan0(theta) = y/x to prove that cot0(theta) = 1/tan0(theta) 2)For all 0(theta) prove: a)cos(t) = 1/sec0(theta) b. sec(t) = 1/cos0(theta)

asked by abeer on April 30, 2012
74. ## Trig

Which expression equivalent to: cos(theta + pi/2). A)cos theta B)-cos theta C)sin theta D)-sin theta my book doesnt give examples of this but my crack at it would be C b/c distributive property? and 2cos theta = sin theta

asked by Jon on February 15, 2008
75. ## Calculus

I'm having problems with this one. Can't get the right answer. Differentiate the following using the chain rule. f(x) = squareroot(x^2+1)/(3x+1) I know that I can take the whole thing and put it to the (1/2) and differentiate that then use the quotient

asked by Angie on September 22, 2012
76. ## Trigonometry

Prove the following identities: 1. (tan theta - sin theta)^2 + (1-cos theta)^2 = (1-sec theta) ^2 2. (1-2cos^2 theta) / sin theta cos theta = tan theta - cot theta 3. (sin theta + cos theta ) ^2 + (sin theta - cos theta ) ^2 = 2 Thank you so much! :)

asked by Fern Angel on April 21, 2016
77. ## Trigonometry

Prove the following identities: 1. (tan theta - sin theta)^2 + (1-cos theta)^2 = (1-sec theta) ^2 2. (1-2cos^2 theta) / sin theta cos theta = tan theta - cot theta 3. (sin theta + cos theta ) ^2 + (sin theta - cos theta ) ^2 = 2 Thank you so much! :)

asked by Fern Angel on April 22, 2016
78. ## Calculus

Can someone explain the method of implicit differentiation to me. I know that we differentiation both sides of the equation with respect to x (I don't understand what they mean by with respect to x). And then y is a function of x...I don't understand what

asked by Samantha on November 4, 2008
79. ## Calculus

Can someone explain the method of implicit differentiation to me. I know that we differentiation both sides of the equation with respect to x (I don't understand what they mean by with respect to x). And then y is a function of x...I don't understand what

asked by Samantha on November 3, 2008
80. ## Calculous

Evaluate sin(theta) and cosine (theta) for the angle theta The graph gives you a point of (0.6,-0.8) on the x y coordinate plane with a radius of what appears to be 1 ( unit circle ) sin (theta) = cos (theta) =

asked by Larry on October 31, 2014
81. ## trigonometry

I need help in understanding how to identify which identity to use. using this question as an example. Show that tan theta (sin theta+cot theta cos theata)all over cos theta = sec^2 theta. Please explain.

asked by lindsay on May 4, 2012
82. ## Maths - trigonometry

if sec theta*sin(36° + theta )=0 , find the value of theta so that theta and 36°+theta are acute angles

asked by Safi on April 16, 2017
83. ## Futher maths

Tan theta +2sec theta=2 cot theta+3cosec theta=a Find theta

asked by Stevium on July 22, 2016
84. ## precalc h

sin(theta)/1-cos(theta) + 1-cos(theta)/sin(theta) = 2csc(theta) That question makes absolutely no sense.. could someone help me? or lead me in the direction to figuring it out? and.. (Beside the trig functions is theta) 1+1/cos = tan^2/sec-1

asked by sam on December 10, 2012
85. ## Chemistry

For one mole the ideal gas law is pV=RT , write down the exact differential dV. Would I be right to differentiate with respect to T and p separately?... V = RT/p dV = R/p - (RT)/(p^2)

asked by Beth on May 17, 2009
86. ## calculus

a particle moves along the curve xy=10. if x=2 and dy/dt=3, what is the value of dx/dt. i'm guessing this is something to do with parametric equations. if x is 2, then y=5. but how do i get dx/dt. you have to differentiate the equation with respect to t so

asked by Anonymous on April 21, 2007
87. ## Mathematics

1. Show that Sin3 Theta - Cos2 Theta = (1 - Sin Theta)(4Sin^2 Theta + 2Sin Theta - 1). Without using a calculator, show that Theta = 18 degrees is an exact solution of the equation Sin3 Theta = Cos2 Theta. Justifying your answer, find the exact values of:

asked by Edwards on August 3, 2011
88. ## Precalculus 2

Similiarly to a question I asked previously I took the same approach. the problem is: what value(s) of theta solve the following equation? cos(theta)sin(theta) - 2 cos(theta) = 0? I let Cos theta = X and sin theta = X unfortunately I end up with something

asked by Greg on November 14, 2012
89. ## Precalculus(NEED HELP ASAP PLEASE!!)

PLEASE HELP!! sin(theta)= 1/3 pi/2 < theta < pi Find: cos(theta)= ______ ? tan(theta)= ______ ? cot(theta)= ______ ? sec(theta)= ______ ? csc(theta)= ______ ?

asked by jh on March 28, 2010
90. ## Algebra II

Which of the following expressions are not equal to 1? A) sin^2 theta + cot^2 theta sin^2 theta B) (sin^2 theta/1-cos theta)-cos theta C) sec^2 theta + tan^2 theta D) cot^2 theta sin^2 theta/cos^2theta Answer: D

asked by Lucy on April 19, 2008
91. ## Math

1. Let (-7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=-2/5. Find the exact values of sec(theta) and tan(theta). 3. Let

asked by Kandee Johnson on May 15, 2011
92. ## Precalculus

Which of the following are trigonometric identities? Select all that apply (there are 3 answers). A cos^2(theta)=sin^2(theta)-1 B sin(theta)=1/csc(theta) C sec(theta)=1/cot(theta) D cot(theta)=cos/sin(theta) E 1+cot^2(theta)=csc^2(theta)

asked by Statten on March 6, 2018
93. ## math

Hi ! Here is my question: The pythagorean theorem gives the relationships between the sides of a right triangle. The following identities show the relationships between the trigonometric functions of a particular angle. sin^2(theta) + cos^2(theta) = 1

asked by Andrew on April 1, 2013
94. ## science

Sitting on a horizontal track is a mass of 10kg. One end of the track is raised untill the mass just begins to slip. If the coeffieient of static friction is .4 what is the minimum angle at which the mass begins to slip? mgSinTheta = mg*mu*CosTheta

asked by Henry on August 25, 2006
95. ## math

I have a question I have been working on since yesterday and I am not making this up. I couldn't get the right answer. If sin theta = -2/3, which of the following are possible? A: cos theta= -the sqr rt of 5/3 and tan theta =2/3. B: sec theta = 3/the sqr

asked by lisa on November 21, 2013
96. ## Calculus

Below are the 5 problems which I had trouble in. I can't seem to get the answer in the back of the book. Thanks for the help! lim (theta-pi/2)sec(theta) theta->pi/2 Answer: -1 I am not sure what to do here. lim (tan(theta))^(theta) theta->0+ Answer:1

asked by Anonymous on February 18, 2008
97. ## Pre-Calculus

1.) Which of the following polar equations is equivalent to the parametric equations below? x=t^2 y=2t A.) r=4cot(theta)csc(theta) B.) r=4tan(theta)sec(theta) C.) r=tan(theta)sec(theta)/4 D.) r=16cot(theta)csc(theta) 2.) Which polar equation is equivalent

asked by line on May 18, 2018
98. ## Calculus

Which is the correct cofunction identity for (tan theta?) A csc(90degrees - theta) B sec (90degrees - theta) C sin (90degrees - theta) D cos (90degrees - theta) E cot (90degrees - theta)

asked by Philip on November 28, 2012
99. ## physics

Consider a 626N weight held by two cables. The left hand cable had tension T and makes an angle of theta with the wall. The right hand cable had tension 720N and makes an angle of 27 degrees with the ceiling. What is the tesion T in the left hand cable

asked by alexa on July 12, 2011
100. ## math

put these polar equations into cartesians form: 1) theta=135 degrees 2)rcostheta=-1 for #1 is it like: (-1,1)? and for #2, X=-1, but i cant find y, any help is appreciated The slope should be sin(theta)/cos(theta) and the intercept is the origin.

asked by hmmmm on September 26, 2006