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Q5 (20 points). Find the divergence of D for the following. D = 4xyx+ 2x?;_2x2y
3. Divergence Find the divergence of: a) F(x,y,z)=(-2y x b) F(x, y, z) = (y2– 2x...
3. Divergence Find the divergence of: a) F(x,y,z)=(-2y x b) F(x, y, z) = (y2– 2x 5x’y x+32] c) i = [3y – 2yx xy2 +6z²x]
Computer Science, Physics and Engineering Q5: [ 20 points). For the network in Fig. 5: a....
Computer Science, Physics and Engineering Q5: [ 20 points). For the network in Fig. 5: a. Find the Thévenin equivalent circuit. b. Find the resistance R in Fig. 5 such that the resistor R will receive maximum power. c. Find the maximum power delivered to R. R3 R w 612 NNN E 18 v RB3n Figure 5: Problem Q5
Q5 (13 points) Use Gauss-Jordan elimination to solve the following system. Then find basic solutions of...
Q5 (13 points) Use Gauss-Jordan elimination to solve the following system. Then find basic solutions of the system. -3.x - y + 172 = 0 2. - 5y-51w 20+ y - 72 +6w 0 -3 - 2y + 9z - 15w = 0
Find the divergence Find the divergence of the following vector field: E = x+_y + _z...
Find the divergence
Find the divergence of the following vector field: E = x+_y + _z where b is a constant + r
Q5(3). Suppose there is random variable X, whose PDF is (10 points, 2 for each): 1x-2)2...
Q5(3). Suppose there is random variable X, whose PDF is (10 points, 2 for each): 1x-2)2 a) What is the name of the distribution of X b) E(2X+1)- c) Var(2X +1)- d) Find the constant x such that P(X > x) = 0.05 e) What is the distribution of 2X?
3. (20 points) Infinite Series (a) (10 points) Determine the convergence or divergence of the following...
3. (20 points) Infinite Series (a) (10 points) Determine the convergence or divergence of the following series by applying one of the given test. Half credit will be given to those the correctly apply another test instead. (3)"e" (Limit Comparison Test or Root Test) (b) (10 points) Identify which two series are the same and then use the Ratio Test and/or Alternating Series Test to determine if the series is convergent or divergent A. (-1)" (n-1)2n-1 na2 B. (-1)"+1 n2...
Q5. Let f(x) = 6x2 - 2x - 3, part of the graph of funtion shown...
Q5. Let f(x) = 6x2 - 2x - 3, part of the graph of funtion shown below. (1+1+2 Marks) (a) Draw the graph of y = 2 on the same axis. (b) Use the graph to find (0) The values of of x when 6x2 - 2x - 3 = 2 Find the cordinate of the vertex (1) Find the equation of the axis of symetry.
3. Divergence Find the divergence of: a) Ē(x, y, z)=(-2y x 0] b) F(x,y,z)= (y2 –...
3. Divergence Find the divergence of: a) Ē(x, y, z)=(-2y x 0] b) F(x,y,z)= (y2 – 2x 5x’y x+37] c) v =[3y–2yx xy? -62?x]
4. (20 points) From the following differential equation, 2+3 +6.25y = 2** + 2x (1) (10...
4. (20 points) From the following differential equation, 2+3 +6.25y = 2** + 2x (1) (10 points) Find out the transfer function G(s), suppose Y is the output and X is the input. (2) (10 points) Find out its damping ration, natural frequency, and damped frequency
(1 point) Verify the Divergence Theorem for the vector field and region: F-(2x, 82.9y〉 and the r...
(1 point) Verify the Divergence Theorem for the vector field and region: F-(2x, 82.9y〉 and the region x2 + y2-1, 0-X 7
(1 point) Verify the Divergence Theorem for the vector field and region: F-(2x, 82.9y〉 and the region x2 + y2-1, 0-X 7
3. Divergence Find the divergence of: a) F(x,y,z)=(-2y x b) F(x, y, z) = (y2– 2x 5x’y x+32] c) i = [3y – 2yx xy2 +6z²x]
Computer Science, Physics and Engineering Q5: [ 20 points). For the network in Fig. 5: a. Find the Thévenin equivalent circuit. b. Find the resistance R in Fig. 5 such that the resistor R will receive maximum power. c. Find the maximum power delivered to R. R3 R w 612 NNN E 18 v RB3n Figure 5: Problem Q5
Q5 (13 points) Use Gauss-Jordan elimination to solve the following system. Then find basic solutions of the system. -3.x - y + 172 = 0 2. - 5y-51w 20+ y - 72 +6w 0 -3 - 2y + 9z - 15w = 0
Find the divergence
Find the divergence of the following vector field: E = x+_y + _z where b is a constant + r
Q5(3). Suppose there is random variable X, whose PDF is (10 points, 2 for each): 1x-2)2 a) What is the name of the distribution of X b) E(2X+1)- c) Var(2X +1)- d) Find the constant x such that P(X > x) = 0.05 e) What is the distribution of 2X?
3. (20 points) Infinite Series (a) (10 points) Determine the convergence or divergence of the following series by applying one of the given test. Half credit will be given to those the correctly apply another test instead. (3)"e" (Limit Comparison Test or Root Test) (b) (10 points) Identify which two series are the same and then use the Ratio Test and/or Alternating Series Test to determine if the series is convergent or divergent A. (-1)" (n-1)2n-1 na2 B. (-1)"+1 n2...
Q5. Let f(x) = 6x2 - 2x - 3, part of the graph of funtion shown below. (1+1+2 Marks) (a) Draw the graph of y = 2 on the same axis. (b) Use the graph to find (0) The values of of x when 6x2 - 2x - 3 = 2 Find the cordinate of the vertex (1) Find the equation of the axis of symetry.
3. Divergence Find the divergence of: a) Ē(x, y, z)=(-2y x 0] b) F(x,y,z)= (y2 – 2x 5x’y x+37] c) v =[3y–2yx xy? -62?x]
4. (20 points) From the following differential equation, 2+3 +6.25y = 2** + 2x (1) (10 points) Find out the transfer function G(s), suppose Y is the output and X is the input. (2) (10 points) Find out its damping ration, natural frequency, and damped frequency
(1 point) Verify the Divergence Theorem for the vector field and region: F-(2x, 82.9y〉 and the region x2 + y2-1, 0-X 7
(1 point) Verify the Divergence Theorem for the vector field and region: F-(2x, 82.9y〉 and the region x2 + y2-1, 0-X 7
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