Recent content by Batmaniac

Hmm, MATLAB tells me that's zero.

How does this look then? \int_{0}^{2}\int_{0}^{2}\int_{0}^{{\sqrt{4-z^2-y^2}}}xyz\,dz\,dy\,dx

Homework Statement Evaluate the following integral: \iiint \,x\,y\,z\,dV Where the boundaries are given by a sphere in the first octant with radius 2. The question asks for this to be done using rectangular, spherical, and cylindrical coordinates. I did this fairly easily...

Wow, didn't see that, thanks!

Homework Statement Evaluate: \int_{0}^{4} \int_{\sqrt{x}}^{2}e^y^3dxdy The Attempt at a Solution Well that's a Fresnel type function so you can't find an antiderivative for it. I'm pretty sure the point of this assignment isn't Taylor series so I'm quite certain we aren't...

Right, pi/2 = 1.57 which is less than 2. Okay then the max value is 1. But if u was bounded between zero and 1 then the max value would be sin1 right?

Homework Statement Find the 3rd-order Maclaurin Polynomial (i.e. P3,o(u)) for the function f(u) = sin u, together with an upper bound on the magnitude of the associated error (as a function of u), if this is to be used as an approximation to f on the interval [0,2]. I did the question...

Looking at the 2 - coshx terms now, I see that for values of x in [-1,1] it does approximate well to 2 - 0.5(x^2) so it's really just the xtanx term that's bother me.

Homework Statement a) Show that for small values of x, xtanx is approximately equal to x^2 and 2 - coshx is approximately equal to 1 - 0.5(x^2). Draw a conclusion from this regarding the probable number and approximate locations of roots on the interval [-1,1]. b) Use Newton's method to...

Homework Statement If |x| = -x + 2x*H(x) what is |x - a|? This isn't the actual question, just something I need to know to solve the question. Homework Equations H(x) is the Heaviside function which is: y = 1 if x >= 0 y = 0 if x < 0 The Attempt at a Solution Well, I'm...

Hmm, then I've no idea how to work with those two separate equations to obtain an answer.

That's an awesome method for finding roots of complex functions. I never knew you could break them up like that. Thanks a lot!

Homework Statement Roughly sketch e^x + x - 2 to show that it has only one root. This is given before we learn derivatives and the curve sketching algorithm, but after we have gone through limits and asymptotes. The Attempt at a Solution Well, the graph of e^x - 2,is easy enough, a...

Homework Statement 5.00g alloy of Magnesium and Aluminum is treated with excess HCl, forming MgCl2 and AlCl3 and 6.65L of H2 at 25 degrees celcius and 99.2kPa. What is the mass percent of Mg in the alloy? Homework Equations PV = nRT The Attempt at a Solution Using PV = nRT...

Homework Statement I am to draw a structural diagram of 2,4-dimethyl-1-heptyne. 2. The attempt at a solution ----------CH3 CH=C-CH2-CH-CH2-CH2-CH3 ---CH3 I tried just using spaces but it wouldn't indent them so I used hyphens. Now, I'm fairly certain my answer is correct (one of...