Question

Consider the vector field below: F ⃗=〈2xy+y^2,x^2+2xy〉 Let C be the circular arc of radius 1...

Consider the vector field below: F ⃗=〈2xy+y^2,x^2+2xy〉 Let C be the circular arc of radius 1 starting at (1,0), oriented counter clock wise, and ending at another point on the circle. Determine the ending point so that the work done by F ⃗ in moving an object along C is 1/2.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the vector field F = <2 x y^3 , 3 x^2 y^2+sin y>. Compute the...
Consider the vector field F = <2 x y^3 , 3 x^2 y^2+sin y>. Compute the line integral of this vector field along the quarter-circle, center at the origin, above the x axis, going from the point (1 , 0) to the point (0 , 1). HINT: Is there a potential?
Using Stoke's Thm, find the work done by the vector field F(x, y, z) = 〈z,...
Using Stoke's Thm, find the work done by the vector field F(x, y, z) = 〈z, x, y〉, that moves an object along the triangle with vertices P(1, 0, 0), Q(0, 1, 0), R(0, 0, 1), in a counterclockwise manner, starting and ending at P.
given field F =[x+y, 2xy ] and c: x= y^2 calculate the line integral along (1,-1)...
given field F =[x+y, 2xy ] and c: x= y^2 calculate the line integral along (1,-1) to (4,2)
If C is the curve given by ?(?)=(1+1sin?)?+(1+3sin2?)?+(1+2sin3?)?, 0≤?≤?2 and F is the radial vector field...
If C is the curve given by ?(?)=(1+1sin?)?+(1+3sin2?)?+(1+2sin3?)?, 0≤?≤?2 and F is the radial vector field ?(?,?,?)=??+??+?? compute the work done by F on a particle moving along C.
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)
Consider the vector force field given by F⃗ = 〈2x + y, 3y + x〉 (a)...
Consider the vector force field given by F⃗ = 〈2x + y, 3y + x〉 (a) Let C1 be the straight line segment from (2, 0) to (−2, 0). Directly compute ∫ C1 F⃗ · d⃗r (Do not use Green’s Theorem or the Fundamental Theorem of Line Integration) (b) Is the vector field F⃗ conservative? If it is not conservative, explain why. If it is conservative, find its potential function f(x, y) Let C2 be the arc of the half-circle...
Let C be the circle with radius 1 and with center (−2,1), and let f(x,y) be...
Let C be the circle with radius 1 and with center (−2,1), and let f(x,y) be the square of the distance from the point (x,y) to the origin. Evaluate the integral ∫f(x,y)ds
Consider the funtion T(x,y)=2xy-y^2(°C) which determines the temperature for a metallic circular plate centered at the...
Consider the funtion T(x,y)=2xy-y^2(°C) which determines the temperature for a metallic circular plate centered at the origin and radius = 5, Explain why there's no direction in which the rate of change of temperature in the point P(1,-1) is equals to 5°C. consider units are cm.
1.) Let f(x,y) =x^2+y^3+sin(x^2+y^3). Determine the line integral of f(x,y) with respect to arc length over...
1.) Let f(x,y) =x^2+y^3+sin(x^2+y^3). Determine the line integral of f(x,y) with respect to arc length over the unit circle centered at the origin (0, 0). 2.) Let f ( x,y)=x^3+y+cos( x )+e^(x − y). Determine the line integral of f(x,y) with respect to arc length over the line segment from (-1, 0) to (1, -2)
Given the force field F(x, y) = (x − y, 4x + y^2 ), find the...
Given the force field F(x, y) = (x − y, 4x + y^2 ), find the work done to move along a line segment from (0, 0) to (2,0), along a line segment from (2,0) to (0,1), and then along another line to the point (−2, 0). Show your work.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT