Question

Show that F=(tany, xsec^2y) is conservative and then calculate the work required to move any object...

Show that F=(tany, xsec^2y) is conservative and then calculate the work required to move any object from (1,0) to (2,pi/4) along any path using the Fundamental Theorem for Line Integrals.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1


0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Show that the following statements are equivalent: (i) "A force is called conservative if the work...
Show that the following statements are equivalent: (i) "A force is called conservative if the work it does on a system along any closed path is zero." (ii) "A force is called conservative if the work it does on a system to move it from configuration (a) to configuration (b) is independent of the chosen path."
1. (a) Determine whether or not F is a conservative vector field. If it is, find...
1. (a) Determine whether or not F is a conservative vector field. If it is, find the potential function for F. (b) Evaluate R C1 F · dr and R C2 F · dr where C1 is the straight line path from (0, −1) to (3, 0), while C2 is the union of two straight line paths: first piece from (0, −1) to (0, 0) and then second piece from (0, 0) to (3, 0). (When applicable, use the Fundamental...
Let F(x,y,z) = yzi + xzj + (xy+2z)k show that vector field F is conservative by...
Let F(x,y,z) = yzi + xzj + (xy+2z)k show that vector field F is conservative by finding a function f such that and use that to evaluate where C is any path from (1,0,-2) to (4,6,3)
(a) Is the vector field F = <e^(−x) cos y, e^(−x) sin y> conservative? (b) If...
(a) Is the vector field F = <e^(−x) cos y, e^(−x) sin y> conservative? (b) If so, find the associated potential function φ. (c) Evaluate Integral C F*dr, where C is the straight line path from (0, 0) to (2π, 2π). (d) Write the expression for the line integral as a single integral without using the fundamental theorem of calculus.
1 point) Find the work done by F along different paths between (1,0,1) and (1,1,0). You...
1 point) Find the work done by F along different paths between (1,0,1) and (1,1,0). You might simplify your computation by writing F=G+H=∇g+H, so that you have a decomposition ofFF into a conservative vector field and a simpler non-conservative vector field. F=〈e^(yz)+2y, xze^(yz)+zcos(y)−3z, xye^(yz)+sin(y)−2x〉 (a) The path is the straight line path between those two points. (Hint: the answer is not 2, 4, or 0.) Work is  . (b) The path consists of the line segment from (1,0,1) to the origin,...
F(x, y) = yi + xj (a) Show F is conservative Given your answer in (a)...
F(x, y) = yi + xj (a) Show F is conservative Given your answer in (a) show that the following integrals have the same value. (b) The line segment y = x from (0,0) to (1,1). (c) The parabola y=x^2 from (0,0) to (1,1). (d) The cubic y=x^3 from (0,0) to (1,1). (e) The b, c and d are examples of what property resulting from part a?
Calculate the work done by the conservative force F = (2x^3 + 6x)i + (y^2 +...
Calculate the work done by the conservative force F = (2x^3 + 6x)i + (y^2 + 2)j in moving a particle from point A with x, y coordinates (1,0) to point B with coordinates (2,2). Also find the speed of the particle at point B if its speed at point A is 3.00 m/s and its mass is 1.50 kg.
Let f(x, y) = (2y-x^2)(y-2x^2) a. Show that f(x, y) has a stationary point at (0,...
Let f(x, y) = (2y-x^2)(y-2x^2) a. Show that f(x, y) has a stationary point at (0, 0) and calculate the discriminant at this point. b. Show that along any line through the origin, f(x, y) has a local minimum at (0, 0)
An object is resting (x-y plane) on a frictionless surface and is subject to the following...
An object is resting (x-y plane) on a frictionless surface and is subject to the following force: F_net=Ay(cos(pi*x/B))i +Ax(sin(pi*y/B))j where A = 1.0 N/m and B = 1.0 m. The object may move from the origin to (1.0 m, 1.0 m) by one of two paths: Path a: Origin to (1.0m, 0.0 m), then to (1.0 m, 1.0 m) Path b: Origin to (0.0m, 1.0 m), then to (1.0 m, 1.0 m) If the object follows path b, the work...
For F= ((1+2xy)ze^(2xy)+(1/x)+2x)i+(2x^2ze^(2xy)j+(xe^(2xy)+(1/z)k show that F is conservative and then find work on object moving from...
For F= ((1+2xy)ze^(2xy)+(1/x)+2x)i+(2x^2ze^(2xy)j+(xe^(2xy)+(1/z)k show that F is conservative and then find work on object moving from (1,0,1) to (2,0,5).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT