Homework Answers
Before finding potential
function for any force we need to check whether force is
conservative or not .But here you had asked how the solution is
obtained so i just included the step for answer and have not
included the step to check that force is conservative or not
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Please show steps here. I dont understand how this answer was
reaches
6. Suppose that F(z,...
Please help solve the following question with steps. Thank you! 3. Suppose that an object moves along the helix r(t) - (2 cos t, 2 sin t, L.) , 2π subject to the force field F-(-y, x, z). Determine t...
Please help solve the following question with steps. Thank
you!
3. Suppose that an object moves along the helix r(t) - (2 cos t, 2 sin t, L.) , 2π subject to the force field F-(-y, x, z). Determine the work 0-t done.
3. Suppose that an object moves along the helix r(t) - (2 cos t, 2 sin t, L.) , 2π subject to the force field F-(-y, x, z). Determine the work 0-t done.
6. (4) (a) Is F(x, y, z) = <e'siny, e cosx, esiny > a conservative vector...
6. (4) (a) Is F(x, y, z) = <e'siny, e cosx, esiny > a conservative vector field? Justify. (4) (b) Is F incompressible? Explain. Is it irrotational? Explain. (8) (c) The vector field F(x,y,z)= < 6xy+ e?, 6yx²+zcos(y), sin(y)+xe?> is conservative. Find the potential function f. That is, the function f such that Vf= F. Use a process. Don't guess and check.
3. 8p] Show that the force field F(x,y, z) sin y, x cos y + cos z, -y sin z) is conservative and use this fact to evalu...
3. 8p] Show that the force field F(x,y, z) sin y, x cos y + cos z, -y sin z) is conservative and use this fact to evaluate the work done by F in moving a particle with unit mass along the curve C with parametrization r(t (sin t, t, 2t), 0 <t<T/2. 4. 8p] A thin wire has the shape of a helix x = sin t, 0 < t < 27r. If the t, y = cos t,...
Please explain all steps. Need to understand. Thanks Let C be the closed curve defined by...
Please explain all steps. Need to understand.
Thanks
Let C be the closed curve defined by r(t) = cos ti + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral / F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y + x2)j + xk
Please explain how the answer below was found...no other way please...i dont understand how this solution...
Please explain how the answer below was found...no other way
please...i dont understand how this solution was found!! thank
you
5.3.12. Let X1, X2, ..., Xn be a random sample from a Poisson distribution with mean u. Thus, Y = {i=1 X; has a Poisson distribution with mean nu. Moreover, X = Y/n is approximately N(41, 4/n) for large n. Show that u(Y/n) = VY/n is a function of Y/n whose variance is essentially free of u. u(X) = v(x)...
NOTE: Show all steps in your solutions. Only partial credit will be given if steps are...
NOTE: Show all steps in your solutions. Only partial credit will be given if steps are not shown though the final answer is correct. 1. Show that the real and imaginary parts of the complex-valued function f(2) = cot z are - sin 2x sinh 2 u(x, y) v(x,y) cos 2.c – cosh 2y' cos 2x - cosh 2y (cot z = 1/ tan ) [20 points)
Could you please explain why the answer is C. I dont understand how determing the direction...
Could you please explain why the answer is C. I dont understand
how determing the direction of the force allows us to understand
charge distribution.
2. A current carrying conductor is in an uniform magnetic field. The drift velocity ote positive charge carriers is v; the direction of the drift velocity is shown in the figure. What's the distribution of charges from topside view of the conductor? 2 2 3 2 3 2 4 1 c) d) a)
please explain how to see if linear or nonlinear. i dont understand why its both here....
please explain how to see if linear or nonlinear. i dont
understand why its both here. thank you!
In each of Problems through 4.verjfy that (0,0) is a critical point, show that the system is locally linear, and discuss the type and stability of the critical point (0...0) by examining the corresponding linear system, 1. dx/dt = x -y dyldt= x - 2y + x? ANSWER lincar and nonlinear saddle point, unstable
. Let F(a,y)-(3e +secztan,e -90 (a) Show that F is a conservative. (b) Find a function f (potenti...
. Let F(a,y)-(3e +secztan,e -90 (a) Show that F is a conservative. (b) Find a function f (potential function) show that F (c) Use above result to evaluate Jc F. V. dr, where C is a smooth curve that begin at the point (2, 1 ) and ends at (0,3). (cos t, sin t) fromtto t particle that moves along the curve. (Write the value of work done without evaluating (d) Find the work done by the force field F(r,...
Question 6 6 pts Suppose that f(x, y, z) is a scalar-valued function and F(x, y,...
Question 6 6 pts Suppose that f(x, y, z) is a scalar-valued function and F(x, y, z) = (P(x, y, z), Q(2,y,z), R(x, y, z)) is a vector field. If P, Q, R, and f all have continuous partial derivatives, then which of the following equations is invalid? O curl (aF) N21 = a curl F for any positive integer Q. REC o div (fF) = fdiv F+FVF Odiv curl F = 0 O grad div f = div grad...
Please help solve the following question with steps. Thank
you!
3. Suppose that an object moves along the helix r(t) - (2 cos t, 2 sin t, L.) , 2π subject to the force field F-(-y, x, z). Determine the work 0-t done.
3. Suppose that an object moves along the helix r(t) - (2 cos t, 2 sin t, L.) , 2π subject to the force field F-(-y, x, z). Determine the work 0-t done.
6. (4) (a) Is F(x, y, z) = <e'siny, e cosx, esiny > a conservative vector field? Justify. (4) (b) Is F incompressible? Explain. Is it irrotational? Explain. (8) (c) The vector field F(x,y,z)= < 6xy+ e?, 6yx²+zcos(y), sin(y)+xe?> is conservative. Find the potential function f. That is, the function f such that Vf= F. Use a process. Don't guess and check.
3. 8p] Show that the force field F(x,y, z) sin y, x cos y + cos z, -y sin z) is conservative and use this fact to evaluate the work done by F in moving a particle with unit mass along the curve C with parametrization r(t (sin t, t, 2t), 0 <t<T/2. 4. 8p] A thin wire has the shape of a helix x = sin t, 0 < t < 27r. If the t, y = cos t,...
Please explain all steps. Need to understand.
Thanks
Let C be the closed curve defined by r(t) = cos ti + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral / F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y + x2)j + xk
Please explain how the answer below was found...no other way
please...i dont understand how this solution was found!! thank
you
5.3.12. Let X1, X2, ..., Xn be a random sample from a Poisson distribution with mean u. Thus, Y = {i=1 X; has a Poisson distribution with mean nu. Moreover, X = Y/n is approximately N(41, 4/n) for large n. Show that u(Y/n) = VY/n is a function of Y/n whose variance is essentially free of u. u(X) = v(x)...
NOTE: Show all steps in your solutions. Only partial credit will be given if steps are not shown though the final answer is correct. 1. Show that the real and imaginary parts of the complex-valued function f(2) = cot z are - sin 2x sinh 2 u(x, y) v(x,y) cos 2.c – cosh 2y' cos 2x - cosh 2y (cot z = 1/ tan ) [20 points)
Could you please explain why the answer is C. I dont understand
how determing the direction of the force allows us to understand
charge distribution.
2. A current carrying conductor is in an uniform magnetic field. The drift velocity ote positive charge carriers is v; the direction of the drift velocity is shown in the figure. What's the distribution of charges from topside view of the conductor? 2 2 3 2 3 2 4 1 c) d) a)
please explain how to see if linear or nonlinear. i dont
understand why its both here. thank you!
In each of Problems through 4.verjfy that (0,0) is a critical point, show that the system is locally linear, and discuss the type and stability of the critical point (0...0) by examining the corresponding linear system, 1. dx/dt = x -y dyldt= x - 2y + x? ANSWER lincar and nonlinear saddle point, unstable
. Let F(a,y)-(3e +secztan,e -90 (a) Show that F is a conservative. (b) Find a function f (potential function) show that F (c) Use above result to evaluate Jc F. V. dr, where C is a smooth curve that begin at the point (2, 1 ) and ends at (0,3). (cos t, sin t) fromtto t particle that moves along the curve. (Write the value of work done without evaluating (d) Find the work done by the force field F(r,...
Question 6 6 pts Suppose that f(x, y, z) is a scalar-valued function and F(x, y, z) = (P(x, y, z), Q(2,y,z), R(x, y, z)) is a vector field. If P, Q, R, and f all have continuous partial derivatives, then which of the following equations is invalid? O curl (aF) N21 = a curl F for any positive integer Q. REC o div (fF) = fdiv F+FVF Odiv curl F = 0 O grad div f = div grad...
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