A person P, starting at the origin, moves in the direction of the positive x-axis, pulling...
1. For the following equation, find the center, vertices, foci, transverse axis, and asymptotes, and sketch the graph: 2. Consider the set of parametric equations (a) Graph in the following window: TMIN--3.74, TMAX- 3.74, TSTEP = 0.02, XMIN =-10, XMAX = 10, YMIN =-7, YMAX = 7, Sketch the graph. (b) At, find (x, y) and dy/dx. Write the equations of the lines tangent to and normal to the graph at (c) Find the length of the curve from to...
A point charge Q moves on the x-axis in the positive direction with a speed of 280 m/s. A point P is on the y-axis at y = +70 mm. The magnetic field produced at the point P, as the charge moves through the origin, is equal to -0.30 mu T k. What is the charge Q? (mu_0 = 4 pi Times 10^-7 T. m/A). What is the polarity of the charge?
An electron moves along the z-axis with vz = 3.2 x 10 m/s. As it passes the origin, what are the strength and direction of the magnetic field at the following (x, y, z) positions? Part A(2 cm, 0 cm 0 cm) Part B (0 cm, 0 cm, 2 cm)Part C(0 cm, 2cm, 2 cm)
Imagine a proton moving at 2.1 x 10m/s in the positive direction of the x-axis. It moves in a field-free space until it passes by the origin, x = 0, where it encounters an electric field directed along the x-axis. (The y and z components of the field are zero everywhere). The electric potential, V(x), associated with this field is shown in the graph below. 200 Hlectrical (V) 100 50 0 0 10 20 30 40 50 60 70 Position...
1. Consider an electron initially moving in the positive x-direction along the negative x-axis with an energy E. At the origin the potential energy U (x) changes abruptly, from U(x) = 0 for x < 0, to U(x) = 1.00 eV for x > 0. If E=1.02 eV, just higher than the barrier by 2%, what is the barrier penetration length? What is the reflectance? What is the transmittance? 2. Consider an electron initially moving in the positive x-direction along...
Question 1 3 pts The solution of the Initial-Value Problem (IVP) S (x + y)dx – «dy = 0 is given by 1 y(1) = 0 Oy=det-1 - 1 Oy= < ln(x + y) Oy= (x + y) In x Oy= < In x None of them Question 2 3 pts The general solution of the first order non-homogeneous linear differential equation with variable coefficients dy (x + 1) + xy = e-">-1 equals dx 2 Oy=e* (C(x - 1)...
A partidle starts from the origin at t- o and moves along the positive x axis. A graph of the velocty of the particle as a function of the time is shown in the figure; the v-axes scale is set by v,- 8.0 m/s (a) what is the coordrate of the part dext+50s? b what is the veloc ry of the part deatt-5.0s? c what is the acceleration of the partide at t·SO s? ( what is he a n...
A particle starts from the origin at t = 0 and moves along the positive x axis. A graph of the velocity of the particle as a function of the time is shown in the figure; the v-axis scale is set by vs = 6.0 m/s. (a) what is the coordinate of the particle at t = 5.0 s? (b) what is the velocity of the particle at t = 5.0 s? (c) what is the acceleration of the particle...
An electron moves along the z-axis with vz=4.9×107m/s. As it passes the origin, what are the strength and direction of the magnetic field at the following (x, y, z) positions? Part C (0 cm, 1 cm , 2 cm ) Express your answers using two significant figures. Enter your answers numerically separated by commas.
A.9. First-order linear non-homogeneous ODEs having one dependent variable are of the form dy + P(x)y = f(x). Beginning with yp = uyż, where yı = e-SP(x)dx and is thus a solution to Y + P(x)y = 0, and given that the general solution y = cyı + Yp, use variation of parameters to derive the formula for the general solution to first-order linear non-homogeneous ODES: dx y = e-SP(x)dx (S eS P(x)dx f(x)dx + c). You may use the...