Recent content by relskid

Homework Statement Suppose S denotes the set of continuous real-valued functions of a single variable f(x) having the property that f(x)=0 if |x|≥ 1. Show that S is a vector space over R by explicitly checking all the axioms. Homework Equations (VS1) For all x, y in V, x+y=y+x (VS2)...

wow, ok, thanks. i worked the problem for those two yp, separated, and i got the write answer. and the second one, i did the substitution, and again, found it linearly dependent. THANK YOU SO MUCH! i had been stuck on these two problems over the entire weekend. thank you for not giving away the...

so for number one: yp1 = Asinx + Bcosx y'p1 = Acosx - Bcosx yp2 = Acos(2x) - 2Bsin(2x) y'p2 = -2Asin(2x) - 4Bcos(2x) ?and number two, when n functions are linearly dependent, the determinant equals zero, and if it is linearly independent, it does not equal zero. how do i prove that it equals...

Homework Statement Find the general solution to the differential equation: y' - y = sinx + cos(2x) Homework Equations The Attempt at a Solution r - 1 = 0 r = 1 y1 = c1e^x i don't really understand how to pick the yp... do you just guess? i tried both Asinx + Bcos(2x)...

Homework Statement use integration tables to find: \int\frac{\(36t^8}{1+sin(t^9)}dt Homework Equations the closest ones i could find: \int\frac{\(u^2}{a+bu}du = \frac{\(1}{b^3}[\frac{\-bu}{2}(2a-bu) + (a^2)ln|a+bu|] and \int\frac{\(1}{1+sinu}du = tanu - secu + C The...

Homework Statement find the volume of the solid generated by rotating the circle (x-10)^2 + y^2 = 36 about the y-axis Homework Equations disk method: \pi\int [R(x)]^2dx shell method: 2\pi\int (x)(f(x))dx The Attempt at a Solution y = \sqrt{36-(x-10)^2}dx[\tex] \\\pi\int...

Homework Statement 1. a force of 5 pounds compresses a 15-inch spring a total of 4 inches. how much work is done in compressing the spring 7 inches? 2. how much work is done in compressing the spring in exercise 1 from a length of 10 inches to a length of 6 inches? Homework...

as a disclaimer, I'm not sure if this is where i should be posting this... i will be tutoring a kid (13 years old) in algebra soon, and i was wondering if there were any games or techniques that i can use with my student that have shown to work in the past with you, or others you know. i...

i was just doing what neutrino suggested. :P i have it all still in tangent written on paper, but I'm still not seeing anything that can be used. anywho... converted back to tangent. :( \frac{(\tan^2 x \tan z) - (\tan y) - (\tan^2 y \tan z) - (\tan x \tan^2 y \tan z) + (\tan x \tan^2 y)...

ok... edit: I'm not getting the coding right, so I'm just going to write it all out. [(sin^2x/cos^2x)(sinz/cosz) - (siny/cosy) - (sin^2y/cos^2y)(sinz/cosz) - (sinx/cosx)(sin^2y/cos^2y)(sinz/cosz) + (sinx/cosx)(sin^2y/cos^2y) - (sinx/cosx)(sin^2z/cos^2z) + (siny/cosy)(sin^2z/cos^2z) +...

here's the proof: \tan(x-y) + \tan(y-z) + \tan(z-x) = \tan(x-y)\tan(y-z)\tan(z-x) in the chapter, we learned the sin, cos, tan addition laws, so I'm assuming that we're basically limited to use those and the fundamental trig functions such as sin^2x + cos^2x = 1 and the like. i decided...

sweet merciful, would you look at that creepy chef-cut out in the background... he's looking right at me!

11 stories?! i commend you. i most definitely would be sprawled on the staircase, wheezing after the 4th.

haha, this turned out to be the first post i saw in this thread. really, it works well. :smile:

how about, "roy"? lololololol. no? ok...