Mathematics

The taylor series for sin(x) is (will give 10 points)

The Taylor series for sin x about x = 0 is x - (x^3)/3! + (x^5)/5! -.... If f is a function such that f(x) = sin(x^2) , then the coefficient of x^7 in the Taylor series for f(x) about x = 0 is The an

Help with this ellipse equation

Ok, my teacher did an example of the problem which is: Teacher example: Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.Foci: (±5, 0); maj

Help with integrating triple integral xz^3*cos(xyz)

trying to integrate the following function xz^3*cos(xyz) bounds are 0 0 0 I think it would be easiest to first integrate the following way dydxdz... for dy use u substition. I got u=xyz ..... du=xz

4x^2-11x=3 Best answer")

Can you help me solve this and tell me how the middle term applies?-4x^2 - 11x = 3 4x^2 - 11x - 3 = 0 To factor: 4 * -3 = -12 -12 * 1 = -12 and -12 + 1 = -11, so replace -11x with -12x + x 4x^2 - 12

Hyperbolic trig integral (i know i could expand it but there must be another way)

okay, integral( (cosh(x)^2)(sinh(x)^3 ) dx thats the integral of cosh(x) squared times sinh(x) cubed, sorry about the lack of math font if posible id like to be pointed in the right direction, or work

How can I make an integral sign with numbers on the top and bottom

How can I make an integral sign with numbers on the top and bottom? I need to make an integral sign for my paper from the interval [0,3] but I dont know how to put the numbers next to the integral on

Integrate sin^-1 (√(x/(x+a))) dx

∫sin^-1[√{x/(x+a)} ] dx integrate by parts u = sin^-1[√{x/(x+a)} ] du = 1/[√{1 - x/(x+a) ]* 1/2[√{x + a)/x]*(x + a - x} /(x + a)^2 =1/[√{a/(x+a) ]* 1/2[√{x + a)/x]*( a) /(x + a)^2 =1/2√{(x+a)/a}√{x

How do I evaluate a Sum(Σ) and a Pi(π)

Question 1: 4 Σ (-2)^k k = 0 Question 2: 0 π(k^2 - 1) k = -3 This is where you can get the special character just copy paste it plz http://usefulshortcuts.com/alt-codes/maths-alt-codes.php Pleas

Vector spaces : linear independence need help

Prove that if the vectors v1,v2,..vn are linearly dependent vectors in Rm and if Vn+1 is any other vector in Rm, then the set v1,v2,..., vn, vn+1 is linearly dependent. Thanks for your help.-By hypot

What is the answer to this geometry problem

http://i52.tinypic.com/2iau81l.gif I think I got it but I just want to double check. In case I got it wrong, if you could explain your steps that would be awesome :)-Semi vertical angle of cone = arc

Need help integrating log function calculus III

The question states integratex log(yz) + log(xy)/z with bounds1 Really do not know how to go about solving this problem Not so sure which order of integration is best to choose either. Im thinking

Trigonometry- test review question

Working on a test review. This question is throwing me for a loop. Any help, including how to set up drawing, would be greatly appreciated! Two boats leave a dock together, traveling in courses that

Question dealing with absolute convergence, conditional convergence, vs divergence !

Which of the following statements is true about the series ∞∑(-1)^n cos(1/n) n=0 a) the series is absolutely convergent b) the series is conditionally convergent c) the series is divergent how do I

Can someone please integrate (x^2+1)/x

Can someone please show me the steps on integrating this?-intg x^2+1/xdx intg x^2/x dx + intg 1/xdx intg x dx + ln x +C x^2 /2 + ln|x| + C-it would become x^2 /x+1/x = x + 1/x = x + x^-1 int

Help finding x-intercepts

3x^2+6x-7 The answer has radicals and Im confused. Can someone help?-3x^2 + 6x - 7 = 0 If its not factorable, you can either complete the square or use the quadratic formula.Lets use the quadratic fo