Recent content by Random-Hero-

Would http://img23.imageshack.us/img23/7739/97409454.jpg be my final answer?

Homework Statement http://img142.imageshack.us/img142/8564/76203773.jpg Homework Equations I need to somehow express the above equation in terms of logax, logay,and logaz.The Attempt at a Solution I got the answer loga * [ |x|*sqrt (x)] + loga * [|y|] - loga * [z] But I'd just like to get...

Homework Statement An investment pays 8% interest, compounded annually. a) Write an equation that expresses the amount, A, of the investment as a function of time, t, in years. b) Determine how long it will take for this investment to 1. Double in value, and 2. Triple in value. c) Determine...

Well I ended up getting t = 2.72, and subbing that into the original equation I get M(t) = 0.245. So hopefully its correct, and I'll post back and let ya'll know how it went! Thanks again everyone for the help!

So now that I've got my trusty derivative. Where do I go from here?

I did, and that's what I got. Did I miss something somewhere?

Is the derivative M'(t) = 6 - 3ln(t^2) / 9t^2 ?

Homework Statement The measure of effectiveness of a sleep deprived student studying for a test on a scale of 0 to 1 is given by the formula M(t) = ln(t^2) / 3t, where 't' is the time in hours that a student spends studying, 0 < t ≤ 4. Determine the maximum measure of effectiveness of...

I'm just totally lost, I genuinely have NO idea what I'm doing, I just punched those into my Ti-83 and the graph that came up looked identical, but I want to figure it out by eye. Is there a site that covers this somewhere with reciprocal trig?

would it be these? secant: -3sec(4x) cosecant: -3csc(4x+pi/2)

Homework Statement http://img18.imageshack.us/img18/2097/56413287.jpg [/URL]The Attempt at a Solution I believe that the Secant curve has the equation y = 3 Sec ( x - pi/4) However I'm having difficulty figuring out what the cosecant equation would be. Wouldn't it just be the same thing but...

Homework Statement Using Gauss-Jordan elimination determine the intersection of the following systems. Identify the type of system geometrically. a) 3x-2y+z=0 4x-5y+7z=0 6x+3y=0 b) x-2y+3z=0 x+y-z=4 2x-4y+6z=5 c) x+y+2z=-2 3x-y+4z=6 x+2y=-5 The...

Homework Statement How would I solve this using Gauss-Jordan Elimination? x - 2y + 3z = 0 x + y - z = 4 2x - 4y + 6z = 5 which I think becomes: 1 -2 3 | 0 1 -1 -1 | 4 2 -4 6 | 5 But I'm confused as to the process to achieve the answer. :S

I think that maybe my professor just made a typo, because that doesn't make sense, from everything I've found so far, suggest they are distinct. But how do I show that? Do I use the dot/cross product for the parallel and perpendicular things?

Homework Statement Show that the two planes are neither coincident, parallel, nor distinct. Identify, geometrically, how the planes intersect and determine the angle between the two planes to the nearest degree. \pi1: x + 2y - 4z + 7 = 0 \pi2: 2x - 2y - 5z + 10 = 0 I found the normals...