5) do = E•dA, where E = (28 V/m²) xy î - (8.3 V/m) sin(2z/n) k, and the area element dA = 0.45 dxdz j - 0.89 dxdy k. Find the expression for do by taking the dot product.
(a) Show that (@) = sin e- is an eigenfunction of both Î, and Î", where = -1 1 a 1 22 sin + sin 020 sin0 and derive the corresponding eigenvalues. You may use the identity 1 a 1 sin sin 2 sin sin 0 80 sino 31 (sin 00 (5 marks) (6) Consider the function $(,0,4)= A - 1/200 sin 6e-ip, 20 where A is a constant and an is the Bohr radius. This is a hydrogen atom...
2i (a) Find where M(v) - ( b) Find M() for v 2z? + 2-1-5. - 2i (a) Find where M(v) - ( b) Find M() for v 2z? + 2-1-5. -
5 points) A spring is suspended vertically from a fixed support. The spring has spring constant k=28 N m−1k=28 N m−1. An object of mass m=14 kgm=14 kg is attached to the bottom of the spring. The subject is subject to damping with damping constant β N m−1 sβ N m−1 s. Let y(t)y(t) be the displacement in metres at the end of the spring below its equilibrium position, at time tt seconds. (5 poins) A spring is suspended vertically...
Find out if y = Sa sin Vedt. de = sin V 28 – 24 = sin 24 – sin 22 = 2 (sin 28 – sin æ4) O D.de = 22 (2ą? sin 24 – sin x2) O E. de = 423 (22^ sin 24 – sin z) _, sin (5ck) 4.x, where ck is chosen arbitrarily in the kth Which integral can be represented by lim subinterval and Ac = *°? O A. So sin (z)dx O B....
(5 points) A spring is suspended vertically from a fixed support. The spring has spring constant k=28 N m−1k=28 N m−1. An object of mass m=14 kgm=14 kg is attached to the bottom of the spring. The subject is subject to damping with damping constant β N m−1 sβ N m−1 s. Let y(t)y(t) be the displacement in metres at the end of the spring below its equilibrium position, at time tt seconds. (a) Give a value of ββ which...
3. Now, consider the MOSFET DA on Figure P1.3. Transistors Q5 and Q6 are n-channel MOSFETs with threshold voltages V,-V,-V-2 V and transconductance parameters k,-k,- k- 100 m/y2 Let lc, In, and Is, be, respectively, the gate, drain, and source currents of Q5. Moreover, let aIn, and Is, be, respectively, the gate, drain, and source currents of Q6. DC analysis: Find the operating points (Qpoine)of both Q5 and Q6. AC analysis: (You can use the analysis by symmetry technique) vDifferential...
Hi need help for these Questions: a. Given f = yi + xzk and g = xyz2, determine (∇ x f ) . ∇g at the point (1,0,3) b. Point A lies on the curve r(t) = 2 cos t i + 2 sin t j + t k for the range 0 ≤ t ≤ 2π . At point A, the tangent vector is T = - 21/2i + 21/2j + k. Determine the co-ordinates of point A and...
#6 Letter C, can you please explain how you got the answer. and to check the answer key says its 1/144 Math 5C- Review 3 -Spring 19 1.) Evaluate. a) (c.) Jp z cos() dA, Dis bounded by y 0, y- 2, and 1 (d.) vd dA, D is the triangular region with vertices (0,2),(1,1), and (3,2) (a.) olr+v) dA, D is the region bounded by y and z 2.) Evaluate 3.) Evaluate J p cos(r +y)dA, where D is...
-5 m/s and v 3 m/s. The field is given by B- Bi+ Bi where B 2 T and By 4T. The charge on the electron is -1.6 x 10-19 C. What force F is exerted on the electron by the magnetic field? A) B) F-4(j-,51+k ) F 8(i+j+k ) D) F 3.2 x 1019 (6i-3j +5k) E) F 1.28 x 1018 (j-i k)