Recent content by MrCreamer

Homework Statement Find the extrema of f(x, y) = x2−2xy+ 2y2, subject to the constraint x2 +y2 = 1.Homework Equations ∇f(x,y) = λg(x,y)The Attempt at a Solution This is the work I have thus far: Letting g(x,y) = x2+y2-1, We obtain the following three equations from the Lagrange Multiplier...

Well, as I said, if \dot{\vec{L}} = 0, then the net torque and net force are zero. The constant velocity magnitude implies that the direction of the velocity vector can change but the speed would remain constant. If F is zero, then you have m\ddot{x} = 0 Which implies that x(t) is of...

Homework Statement Determine possible trajectories for particle with constant magnitude of velocity |\dot{\vec{r}}| = v0 and constant angular momentum \vec{L} = \vec{L}0 Homework Equations |\dot{\vec{r}}| = v0 \vec{L} = \vec{L}0The Attempt at a Solution I know that L dot is zero and...

To be more specific, I am supposed to approximate this number using linearization and differentials i.e i) L(x) ≈ f(a)+\frac{df(a)}{dx}(x-a) when f(x) ≈ L(x) only when x is close to a ii) f(a+dx)≈f(a)+dy where dy=\frac{df(x)}{dx}dx

How do I approximate \frac{-1+\sqrt{5}}{2} without using a calculator using the methods of linearization

Homework Statement The goal is to approximate the number \frac{-1+\sqrt{5}}{2} using linearization methods. Homework Equations This number is a solution to x^{2}=1-x The Attempt at a Solution I was told to use f(x)= x^{2}+x-1 with the Newton method to find x_{1},x_{2},x_{3},x_{4} at...