Exercise 6. (Potentials) Calculate and plot the potential function V(r) and iden- tify the equilibrium points and their stability for all the following equations. • i = r(1 – x)

Q: Calculate the energy coefficient from the first order if the infinite potential box is as uneasy as…

A: Given: φn=2LsinnπxLφ2=2∂Lsin2πx2L To find: Solution

Q: Refrigerant 134a enters a well-insulated nozzle at 200 lbf/in.?, 200°F, with a velocity of 120 ft/s…

A:

Q: Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,6).

A: To find the linear approximation of the function f(x, y) = x/(x + y) at the point (1, 6), we need to…

Q: length, is given by the heat equation, ди 2²u əx² Ət (0 0), here x measures distance along the bar,…

A:

Q: Find the equilibrium point. D(x) = 7- 8x, S(x) = 3 + 8x

A: Equilibrium point is the point at which demand and supply function intersects. That means at…

Q: Find the equilibrium point. D(x) = (x-7), S(x) =x O A. (7,$0) О В. (14,549) C. 2,$12.25 O D. (0,$49)

A: The equilibrium point of two functions D(x) and S(x) is the point which satisfies both equations. In…

Q: information it is payable at the moment of death: for a continuously increasing whole life

A: Given: δ=0.09A¯x2=0.10μ=0.02            from previous calculations

Q: Is it possible for a non-autonomous equation = f(x,y) to have an equilibrium (i.e.: constant)? If…

A: Is it possible for a non-autonomous equation dy/dx = f(x,y) to have an equilibriumsolution y = yo…

Q: A pendulum reaches a maximum height h relative to the lowest height while it swings. We can ignore…

A: Answer :A pendulum is given , Now we have  to find point at which potential energy is minimum.using…

Q: A particle is moving with acceleration a(t) = 12t + 12. its position at time t = 0 is s(0) = 13 and…

A: Sol:-

Q: At time t, the position of a body moving along the s-axis is s=3- 212 + 120t m. Find the body's…

A:

Q: Find a particular solution of the equation y4 -y3 - y" - y' - 2y = 8x^5:

A:

Q: Answer letter c and d only

A: Given- The survival of two species depends on their mutual cooperation. For instance, a species of…

Q: Find all equilibrium points and determine their types when C = 1. * = x, *, = -bx, +1+c(-1+ sat…

A: Given: x.1=x2x.2=-bx2+1+c-1+sat0.5-x1-x2

Q: the minimum for the function below: you seek f(x, y) = Ax² - Bxy + Cy² + x - y You are given…

A:

Q: H2. A particle of mass m moves in a straight line under the action of a conservative force F(x) with…

A: Note: Since you are posted here multiple subparts so, as per the guidelines we are supposed to…

Q: 4. A mass weighing 4 lbs stretches a spring 2 feet There is no damping and no external forcing. The…

A: Given that the mass of the weight is 4 lbs, the length of the spring is 2 ft and acceleration due to…

Q: 1.) The height above the ground at which a ball is released at an initial height of 122.5m is given…

A:

Q: If New Hampshire's population was 1.4 million in 2018 and there were 1.3 million motor vehicle…

A:

Q: A race Runner A begins at the point s(0) = 0 and runs on a straightand level road with velocity ν(t)…

A: Given: Runner A start at the point s0=0 and run with velocity vt=2t and runner B start at point s0=8…

Q: The population of a small town is growing at a constant rate. In 2007 the population was 15,400 and…

A: To write a linear model of the form f(t)=mt+b based on the data points (7, 15400) and (13, 22600),…

Q: 5. We will find the Green Function G(r, r') satisfying I 1(1+1) r2 d²2 G dr.² -G = 8(r — r'), where…

A: 5) Here consider associated homogeneous ODE Noted that its solution is of the form ,then it…

Q: 5) Particle motion At time t≥0, the velocity of a body moving along the horizontal s-axis is v = t²…

A: At time t ≥ 0, the velocity of a body moving along the horizontal x-axis is v(t) = t2 − 4t + 3. Now…

Q: A particle is moving with acceleration a(t) = 6t + 18. its position at time t = 0 is s(0) 13 and its…

A: Given, at=6t+8 with s0=13 and v0=2. We have to find the position at time t = 14.