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6. Find V(x,y) when Vo=2sin(7x) + sin(m) by solving the Laplace equation for the 1oy soiving th 1...
Consider the parabola y = 7x - x2. Find the slope m of the tangent line to the parabola at the point (1, 6). using t...
Consider the parabola y = 7x - x2. Find the slope m of the tangent line to the parabola at the point (1, 6). using this definition: The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m=lim x rightarrow a f(x)-f(a)/x-a provided that this limit exists. m = using this equation: m=lim h rightarrow 0 f(a+h)-f(a)/h m= Find an equation of the tangent line in part (a). y...
The equation of electric potential in space is given by: V(x,y,z) = 2xy/x 1. Calculate the...
The equation of electric potential in space is given by: V(x,y,z) = 2xy/x 1. Calculate the electric potential at point (x = 1, y = -2, z = 3) in space. 2. Find the electric field E vector as a function of x, y, z. 3. Calculate the electric field at point (x = 1, y = -2, z = 3) in space.
Q4 please 4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find a particular solution of the equation y" +2/ +2y = sin 2x by method of...
Q4 please
4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find a particular solution of the equation y" +2/ +2y = sin 2x by method of undetermined coeficients. 4 marks] (c) Use Laplace transform to solve the initial value problem l-1, 21 0-,0)- [10 marks]
4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find...
3 if the potential V (x,y) - 17 17 x² - 6x4 - 442 m= 1...
3 if the potential V (x,y) - 17 17 x² - 6x4 - 442 m= 1 kg calculate normal mode with the properente equation of motion with eigen function. answer grophical x (%) - An (2) sin(V20 € 1.5) 42 ( 4 )',166+ 6)
Problem 3. Show that the solution of the partial differential equation (Laplace equation), Wxx(x, y) +...
Problem 3. Show that the solution of the partial differential equation (Laplace equation), Wxx(x, y) + Wyy(x, y) = 0, with the four boundary conditions: w(x,0) = 0, w(x, 1) = 0, w(0, y) = 0 and w(1, y) = 24 sin ny, can be obtained as w(x, y) = 2 sinh nx · sin ny. [Suggested Solution Steps for Problem 3] (1) Apply the method of separation of variables as w(x,y) = X(x) · Y(y); (2) substitute into the...
X=500, y=10 1 2 3 Soru 6 Vio 24 V Vo 1 ks ΧΩ y ΚΩ...
X=500, y=10
1 2 3 Soru 6 Vio 24 V Vo 1 ks ΧΩ y ΚΩ 6V ΤΟ ΚΩ Find: a) regulated output voltage (Vo) b) Power dissipation (PD) across the transistor (neglect currents other than the load current in your calculations) c) if the unregulated voltage increases 20% find the percent change in PD % x = last three digits of your student ID (Ex: 1234567, x = 567) % y = first two digits of your student ID...
(1 point) Mark all of the possibilities that can arise when solving a quadratic equation as...
(1 point) Mark all of the possibilities that can arise when solving a quadratic equation as in the method of solving order 2 Cauchy-Euler equations. е A. One repeated real root. B. Two distinct real roots. C. No roots D. One complex root. E. Two complex roots. F. One real root and one complex root. G. None of the above (1 point) To find , and u, we would need to integrate which of the following? Mark all that apply....
Consider the Laplace equation v²u(x, y, z) = 0 in 3D and find its most general...
Consider the Laplace equation v²u(x, y, z) = 0 in 3D and find its most general solution for a parallelepiped defend by planar as (see the figure below) (x = 0,X = 2, y = 0, y = 2, (z=0,2 = 5, with the Dirichlet boundary conditions as u(0, y, z) = u(2, y, z) = 0 u(x, 0, 2) = u(x, 2, z) = 0 (u(x, y,0) = 0, u(x,y,5) = 17
2 sin 50 at (1 point) Find the equation (in terms of x and y) of...
2 sin 50 at (1 point) Find the equation (in terms of x and y) of the tangent line to the curve r = | 0 = 1/6. y =
(c) (i) Find the general solution of the following partial differential equation y, = 2y sin...
(c) (i) Find the general solution of the following partial differential equation y, = 2y sin x + e-x Whatische solution when the initial conditions are v(0,y)--y, and (ii) y(x, 0) = cos x ? (10 Marks)
Consider the parabola y = 7x - x2. Find the slope m of the tangent line to the parabola at the point (1, 6). using this definition: The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m=lim x rightarrow a f(x)-f(a)/x-a provided that this limit exists. m = using this equation: m=lim h rightarrow 0 f(a+h)-f(a)/h m= Find an equation of the tangent line in part (a). y...
Q4 please
4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find a particular solution of the equation y" +2/ +2y = sin 2x by method of undetermined coeficients. 4 marks] (c) Use Laplace transform to solve the initial value problem l-1, 21 0-,0)- [10 marks]
4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find...
3 if the potential V (x,y) - 17 17 x² - 6x4 - 442 m= 1 kg calculate normal mode with the properente equation of motion with eigen function. answer grophical x (%) - An (2) sin(V20 € 1.5) 42 ( 4 )',166+ 6)
Problem 3. Show that the solution of the partial differential equation (Laplace equation), Wxx(x, y) + Wyy(x, y) = 0, with the four boundary conditions: w(x,0) = 0, w(x, 1) = 0, w(0, y) = 0 and w(1, y) = 24 sin ny, can be obtained as w(x, y) = 2 sinh nx · sin ny. [Suggested Solution Steps for Problem 3] (1) Apply the method of separation of variables as w(x,y) = X(x) · Y(y); (2) substitute into the...
X=500, y=10
1 2 3 Soru 6 Vio 24 V Vo 1 ks ΧΩ y ΚΩ 6V ΤΟ ΚΩ Find: a) regulated output voltage (Vo) b) Power dissipation (PD) across the transistor (neglect currents other than the load current in your calculations) c) if the unregulated voltage increases 20% find the percent change in PD % x = last three digits of your student ID (Ex: 1234567, x = 567) % y = first two digits of your student ID...
(1 point) Mark all of the possibilities that can arise when solving a quadratic equation as in the method of solving order 2 Cauchy-Euler equations. е A. One repeated real root. B. Two distinct real roots. C. No roots D. One complex root. E. Two complex roots. F. One real root and one complex root. G. None of the above (1 point) To find , and u, we would need to integrate which of the following? Mark all that apply....
Consider the Laplace equation v²u(x, y, z) = 0 in 3D and find its most general solution for a parallelepiped defend by planar as (see the figure below) (x = 0,X = 2, y = 0, y = 2, (z=0,2 = 5, with the Dirichlet boundary conditions as u(0, y, z) = u(2, y, z) = 0 u(x, 0, 2) = u(x, 2, z) = 0 (u(x, y,0) = 0, u(x,y,5) = 17
2 sin 50 at (1 point) Find the equation (in terms of x and y) of the tangent line to the curve r = | 0 = 1/6. y =
(c) (i) Find the general solution of the following partial differential equation y, = 2y sin x + e-x Whatische solution when the initial conditions are v(0,y)--y, and (ii) y(x, 0) = cos x ? (10 Marks)
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