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Şekildeki devreye e(t) = 110 sin(614t + 30°) Volt'luk bir gerilim uygu- landığında çekilen akım 5A'dir....
The uniform magnetic field of 0.15 T intensity is oriented along the positive x-axis as in...
The uniform magnetic field of 0.15 T intensity is oriented along
the positive x-axis as in the figure. Let's assume that a positron
(positive electron) moving at a speed of v = 5x10 ^ 6 m / s enters
the field with the x-axis in the direction that turns theta = 85
degrees.
According to this;
a) Find the horizontal and vertical components of the V
velocity.
b) Orbit p step (path taken in the x-axis direction at the end...
Problem 1: By writing nm1 where (An are the associated eigenpairs, solve e kus +9(x, t) with k = ...
PDEs...Just 1 and 2
Problem 1: By writing nm1 where (An are the associated eigenpairs, solve e kus +9(x, t) with k = 1, g(z, t)-cos x, u,0,t)-ur(2nd) = 0, u(z,0) = cos r + cos 21. 2. 3. k = 1, g(z, t)--_exp_2t)sinz, u(0,t) = u(z,t) = 0, u(z,0) = sinz.
Problem 1: By writing nm1 where (An are the associated eigenpairs, solve e kus +9(x, t) with k = 1, g(z, t)-cos x, u,0,t)-ur(2nd) = 0, u(z,0) =...
1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solutio...
1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solution that satisfies the given initial condition ur, 0) -2. (Hint: bn is given by the Fourier Coefficients-f(z),sin(Y- UsefulFormulas/Facts for PDEs/Fourier Series 1)2 (TiT) » x sin aL(1)1 a24(부) (TiT) 1)+1 0
1. Consider the Partial Differential Equation ot u(0,t) =...
e-30 sin() -1 backward substitution method 4. Given A = sin(t) cos(t) tanto find the following...
e-30 sin() -1 backward substitution method 4. Given A = sin(t) cos(t) tanto find the following 0 a. Matrix of minors (2pts) b. Matrix of cofactors (2pts) c. Adjoint matrix (2pts) d. Determinant of A (2pts) Inverse of A using the Adjoint matrix. (2pts) e. 1 v T.
Arosinu+rvi-r)for-1 < u < 1 and (r+1 cos ur+1 sin u, Let x(u, e) 9. = (a) Compute the first funda...
arosinu+rvi-r)for-1 < u < 1 and (r+1 cos ur+1 sin u, Let x(u, e) 9. = (a) Compute the first fundamental form of S (b) Compute the Christoffel symbols of S (c) Compute the Gaussian curvature of S (d) For which to is the curve a(t) = x(t,%) a godesíc.
arosinu+rvi-r)for-1
3. A shape is defined as: (x, y, z) = (rcos 0 sin 0,r sin sin d, r cos ø) with 0r1, T/4 < 0< 7t/4 and 0 < ¢ &l...
3. A shape is defined as: (x, y, z) = (rcos 0 sin 0,r sin sin d, r cos ø) with 0r1, T/4 < 0< 7t/4 and 0 < ¢ < T* 2 marks (a) Describe this region. an appropriate integration, determine the volume of this shape [4 marks (b) Using 3 (Continued) 3 marks (c) Parametrise the surface of this shape. 3 marks (d) Find a normal to the surface [4 marks (e) What is the surface area of...
Cung Lapince iransfonn. Fl" d the current İ(1) due to the input voting. E. Where, E-2 sin 4t u(t)...
cung Lapince iransfonn. Fl" d the current İ(1) due to the input voting. E. Where, E-2 sin 4t u(t) volt, R-2 Ω, L-3 H & C-1/6 F 8
cung Lapince iransfonn. Fl" d the current İ(1) due to the input voting. E. Where, E-2 sin 4t u(t) volt, R-2 Ω, L-3 H & C-1/6 F 8
6.3 Exercises In Exercises 1-5 find the current in the RLC circuit, assuming that E(t) =...
6.3 Exercises In Exercises 1-5 find the current in the RLC circuit, assuming that E(t) = 0 fort > 0. 1. R = 3 ohms; L = 1 henrysC = .01 farads; Q. = 0 coulombs, 10 = 2 amperes. 11. Show that if E(t) = U coswt +V sin wt where U and V are constants then the steady state current in the RLC circuit shown in Figure 6.3.1 is w?RE(t) + (1/C - Lw?) E' (t) I where...
ecos (20) cos e Establish the identity cos + cos (30) sin 0+ sin (30) cot...
ecos (20) cos e Establish the identity cos + cos (30) sin 0+ sin (30) cot (20) Choose the correct sequence of steps to establish the identity cos 0 + cos (30) 2 cos (20) cos (20) OA sin 0+ sin (30) cot (20) 2 cos (20) sin (20) B. cos 0 + cos (30) sin 0 + sin (30) = 2 sin (20) cos e = cot (20) Ос. = cos 0 + cos (30) 2 sin cos (20)...
Verify the following using MATLAB 2) (a) Consider the following function f(t)=e"" sinwt u (t (1)...
Verify the following using MATLAB
2) (a) Consider the following function f(t)=e"" sinwt u (t (1) .... Write the formula for Laplace transform. L[f)]=F(6) F(6))e"d Where f(t is the function in time domain. F(s) is the function in frequency domain Apply Laplace transform to equation 1. Le sin cot u()]F(s) Consider, f() sin wtu(t). From the frequency shifting theorem, L(e"f()F(s+a) (2) Apply Laplace transform to f(t). F,(s)sin ot u (t)e" "dt Define the step function, u(t u(t)= 1 fort >0...
The uniform magnetic field of 0.15 T intensity is oriented along
the positive x-axis as in the figure. Let's assume that a positron
(positive electron) moving at a speed of v = 5x10 ^ 6 m / s enters
the field with the x-axis in the direction that turns theta = 85
degrees.
According to this;
a) Find the horizontal and vertical components of the V
velocity.
b) Orbit p step (path taken in the x-axis direction at the end...
PDEs...Just 1 and 2
Problem 1: By writing nm1 where (An are the associated eigenpairs, solve e kus +9(x, t) with k = 1, g(z, t)-cos x, u,0,t)-ur(2nd) = 0, u(z,0) = cos r + cos 21. 2. 3. k = 1, g(z, t)--_exp_2t)sinz, u(0,t) = u(z,t) = 0, u(z,0) = sinz.
Problem 1: By writing nm1 where (An are the associated eigenpairs, solve e kus +9(x, t) with k = 1, g(z, t)-cos x, u,0,t)-ur(2nd) = 0, u(z,0) =...
1. Consider the Partial Differential Equation ot u(0,t) = u(r, t) = 0 a(x, 0)-x (Y), sin (! We know the general solution to the Basic Heat Equation is u(z,t)-Σ b e ). n= 1 (b) Find the unique solution that satisfies the given initial condition ur, 0) -2. (Hint: bn is given by the Fourier Coefficients-f(z),sin(Y- UsefulFormulas/Facts for PDEs/Fourier Series 1)2 (TiT) » x sin aL(1)1 a24(부) (TiT) 1)+1 0
1. Consider the Partial Differential Equation ot u(0,t) =...
e-30 sin() -1 backward substitution method 4. Given A = sin(t) cos(t) tanto find the following 0 a. Matrix of minors (2pts) b. Matrix of cofactors (2pts) c. Adjoint matrix (2pts) d. Determinant of A (2pts) Inverse of A using the Adjoint matrix. (2pts) e. 1 v T.
arosinu+rvi-r)for-1 < u < 1 and (r+1 cos ur+1 sin u, Let x(u, e) 9. = (a) Compute the first fundamental form of S (b) Compute the Christoffel symbols of S (c) Compute the Gaussian curvature of S (d) For which to is the curve a(t) = x(t,%) a godesíc.
arosinu+rvi-r)for-1
3. A shape is defined as: (x, y, z) = (rcos 0 sin 0,r sin sin d, r cos ø) with 0r1, T/4 < 0< 7t/4 and 0 < ¢ < T* 2 marks (a) Describe this region. an appropriate integration, determine the volume of this shape [4 marks (b) Using 3 (Continued) 3 marks (c) Parametrise the surface of this shape. 3 marks (d) Find a normal to the surface [4 marks (e) What is the surface area of...
cung Lapince iransfonn. Fl" d the current İ(1) due to the input voting. E. Where, E-2 sin 4t u(t) volt, R-2 Ω, L-3 H & C-1/6 F 8
cung Lapince iransfonn. Fl" d the current İ(1) due to the input voting. E. Where, E-2 sin 4t u(t) volt, R-2 Ω, L-3 H & C-1/6 F 8
6.3 Exercises In Exercises 1-5 find the current in the RLC circuit, assuming that E(t) = 0 fort > 0. 1. R = 3 ohms; L = 1 henrysC = .01 farads; Q. = 0 coulombs, 10 = 2 amperes. 11. Show that if E(t) = U coswt +V sin wt where U and V are constants then the steady state current in the RLC circuit shown in Figure 6.3.1 is w?RE(t) + (1/C - Lw?) E' (t) I where...
ecos (20) cos e Establish the identity cos + cos (30) sin 0+ sin (30) cot (20) Choose the correct sequence of steps to establish the identity cos 0 + cos (30) 2 cos (20) cos (20) OA sin 0+ sin (30) cot (20) 2 cos (20) sin (20) B. cos 0 + cos (30) sin 0 + sin (30) = 2 sin (20) cos e = cot (20) Ос. = cos 0 + cos (30) 2 sin cos (20)...
Verify the following using MATLAB
2) (a) Consider the following function f(t)=e"" sinwt u (t (1) .... Write the formula for Laplace transform. L[f)]=F(6) F(6))e"d Where f(t is the function in time domain. F(s) is the function in frequency domain Apply Laplace transform to equation 1. Le sin cot u()]F(s) Consider, f() sin wtu(t). From the frequency shifting theorem, L(e"f()F(s+a) (2) Apply Laplace transform to f(t). F,(s)sin ot u (t)e" "dt Define the step function, u(t u(t)= 1 fort >0...
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