Homework Answers
Use the Chain Rule to find the indicated partial derivatives. и = = х2+ yz, x...
Use the Chain Rule to find the indicated partial derivatives. и = = х2+ yz, x = pr cos e, y = pr sin , 2 = p+r ди др au ar au де when p = 2, r= 1, = 0 ди др au ar ди де
Let u = u(x,y) and x = x(r,9), y = y(r,). ди ди a. Let x...
Let u = u(x,y) and x = x(r,9), y = y(r,). ди ди a. Let x = r cos Q, y = r sin p. Find and a2u ar' 29 ar2 b. u = -x x = r sin 29,y = r tan’ 4, P (1,5). Find ou at the point P. де до
Let C be the helix parametrized by r(t) = (cost, sint,t), 0 <t<7/2 in R3. Compute...
Let C be the helix parametrized by r(t) = (cost, sint,t), 0 <t<7/2 in R3. Compute the flow of the vector field (x – yz sin xyz, zey? – zx sin xyz, yeyz – xy sin xyz) along C.
What's the difference in motion for these 3? x-t y-t r - sint y sint What's the difference in motion for these 3? x-t y-t r - sint y sint
What's the difference in motion for these 3? x-t y-t r - sint y sint
What's the difference in motion for these 3? x-t y-t r - sint y sint
дги 2. ди + 10 = дх2 at ди и(0,t) = 0, = 1 дх х=1...
дги 2. ди + 10 = дх2 at ди и(0,t) = 0, = 1 дх х=1 и(x, 0) = 2.5х2 – 6х +1
Solve the heat flow problem: ди ди - (x, t) = 2 — (x, t), 0<x<1,...
Solve the heat flow problem: ди ди - (x, t) = 2 — (x, t), 0<x<1, t> 0, д дх2 и(0, t) = (1,1) = 0, t>0, и(x, 0) = 1 +3 cos(x) – 2 cos(3лх), 0<x<1.
Given the path C: x(t) = (cost, sint, t), 0<t<2n. Let f(t, y, z) = x2...
Given the path C: x(t) = (cost, sint, t), 0<t<2n. Let f(t, y, z) = x2 + y2 + 22. Evaluate (12 pts) f(,y,z)ds.
Determine an equilibrium temperature distribution (if one exists) for ди Әt д? и дх2 +x -...
Determine an equilibrium temperature distribution (if one exists) for ди Әt д? и дх2 +x - В for 0 < x < L subject to the boundary conditions ди - (0,t) = 0, дх ди (L, t) = 0, дх and initial condition и(x, 0) = 1. For what values of B are there solutions?
3. Let C be the curve r(t) = < sint, cost, t>,0 sts 1/2. Evaluate the...
3. Let C be the curve r(t) = < sint, cost, t>,0 sts 1/2. Evaluate the line integral S ry ryds. 1/V2. 1/2, V2, 0,
(1 point) Calculate the integral of f(x, y, z)-3x2 + 3уг + z6 over the curve c(t) (cost, sint, t)...
(1 point) Calculate the integral of f(x, y, z)-3x2 + 3уг + z6 over the curve c(t) (cost, sint, t) for 0 < t < π
(1 point) Calculate the integral of f(x, y, z)-3x2 + 3уг + z6 over the curve c(t) (cost, sint, t) for 0
Use the Chain Rule to find the indicated partial derivatives. и = = х2+ yz, x = pr cos e, y = pr sin , 2 = p+r ди др au ar au де when p = 2, r= 1, = 0 ди др au ar ди де
Let u = u(x,y) and x = x(r,9), y = y(r,). ди ди a. Let x = r cos Q, y = r sin p. Find and a2u ar' 29 ar2 b. u = -x x = r sin 29,y = r tan’ 4, P (1,5). Find ou at the point P. де до
Let C be the helix parametrized by r(t) = (cost, sint,t), 0 <t<7/2 in R3. Compute the flow of the vector field (x – yz sin xyz, zey? – zx sin xyz, yeyz – xy sin xyz) along C.
What's the difference in motion for these 3? x-t y-t r - sint y sint
What's the difference in motion for these 3? x-t y-t r - sint y sint
дги 2. ди + 10 = дх2 at ди и(0,t) = 0, = 1 дх х=1 и(x, 0) = 2.5х2 – 6х +1
Solve the heat flow problem: ди ди - (x, t) = 2 — (x, t), 0<x<1, t> 0, д дх2 и(0, t) = (1,1) = 0, t>0, и(x, 0) = 1 +3 cos(x) – 2 cos(3лх), 0<x<1.
Given the path C: x(t) = (cost, sint, t), 0<t<2n. Let f(t, y, z) = x2 + y2 + 22. Evaluate (12 pts) f(,y,z)ds.
Determine an equilibrium temperature distribution (if one exists) for ди Әt д? и дх2 +x - В for 0 < x < L subject to the boundary conditions ди - (0,t) = 0, дх ди (L, t) = 0, дх and initial condition и(x, 0) = 1. For what values of B are there solutions?
3. Let C be the curve r(t) = < sint, cost, t>,0 sts 1/2. Evaluate the line integral S ry ryds. 1/V2. 1/2, V2, 0,
(1 point) Calculate the integral of f(x, y, z)-3x2 + 3уг + z6 over the curve c(t) (cost, sint, t) for 0 < t < π
(1 point) Calculate the integral of f(x, y, z)-3x2 + 3уг + z6 over the curve c(t) (cost, sint, t) for 0
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