Recent content by Iconate

Yeah actually, after a lot of searching I came across this http://babek.info/libertybasicfiles/lbnews/nl130/proj3d.htm Implemented that in C++, works perfectly.

I think this is what I am looking for http://babek.info/libertybasicfiles/lbnews/nl130/proj3d.htm Im going to try and implement this and see what happens

Hello, I am designing a FPS in which I am planning for the trajectory of a bullet to follow this formula here: http://en.wikipedia.org/wiki/Trajectory#Derivation_of_the_equation_of_motion" I am not adding any drag or resistance a the moment, but the problem is, that all these trajectory...

I have never taken any physics course before, but I am designing a game in which the projectile(bullet) is going to drop over time. I want to know which equation do I use to calculate the position on a trajectory. Given that I have the angle, and initial velocity...

Ahhh I see my determinant should be λ2 - (-i)(i) = 0 λ2 + (i2) = 0 λ2 - 1 = 0 thus λ1 = 1 λ1 = -1 Thanks >.<

Homework Statement Find the eigenvalues and eigenvectors of A. (Both eigenvalues and eigenvectors are now allowed to be complex.) Is it diagonalizable? Explain why or why not. If it is diagonalizable, explicitly find matrices P and D such that A = PDP−1 where D is a diagonal 2 × 2 matrix...

Ah ok so now I have e-sin2x Now the max and min values of the sin function are \pi/2 and 3\pi/2 These are the values I look at?

How am I supposed to proceed then using my critical point and incorporating the bound? I guess since it is a disk, I can use sin(t) and cos(t) as the coordinates to represent the boundary c(t)= (sint, cost) 0 <= t <= 2\pi f(c(t)) = e1-2sin2t-cos2t ? At both of the boundaries 0 and 2\pi...

Homework Statement Find the abs min/max values of the function f(x,y) = e1-2x2-y2 on the closed and bounded region x2 + y2 <= 1 The Attempt at a Solution First I have to find the critical points Dfx = (-4x)e1-2x2-y2 Dfy = (-2y)e1-2x2-y2 Clearly e1-2x2-y2 cannot equal 0...

I figured it out. I have to write T[e1] as a linear combination of the basis vectors. Ex. T(e1) = [[0,1],[0,0]] = 0*e1 + 1*e2 + 0*e3 + 0*e4 = (0,1,0,0) And Now i have my vector! Computing this for all ei's will create my matrix P.

Yeah I did that, do I find the eigenvectors with each of their matricies?, normally id put my basis vectors INTO a matrix, but I have matricies, i figure they have to go somewhre, just don't know where

Homework Statement Let T: M22 -> M22 be defined by T \[ \left( \begin{array}{cc} a & b \\ c & d \\ \end{array} \right)\] = \[ \left( \begin{array}{cc} 2c & a+c \\ b-2c & d \\ \end{array} \right)\] Find the eigenvectors of T The Attempt at a Solution My...

Ohh I see perfect, thank you very much

Ah, That all makes sense, but when I computed df, I got that equal to 0 df/dx = x/\sqrt{(x)^2 + (z)^2 + (y)^2} = 0.6666... df/dy = 0.6666... df/dz = 0.3333... which means, my approximation is exact, which i don't think is right >.<

Homework Statement Use the linear approximation to approximate a suitable function f(x,y) and thereby estimate the following f(x,y) = \sqrt{(4.01)^2 + (3.98)^2 + (2.02)^2} Homework Equations Not going to type it out, but the formula for f(x,y)...