Question

Find the work done by the force field F(x,y,z) = yz i + xz j +...

Find the work done by the force field F(x,y,z) = yz i + xz j + xy k acting along the curve given by r(t) = t3 i + t2 j + tk from the point (1,1,1) to the point (8,4,2).

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 F and C below. F(x, y, z) = yz i + xz j + (xy...
Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 18z) k C is the line segment from (1, 0, −3) to (4, 4, 1) (a) Find a function f such that F = ∇f. f(x, y, z) = (b) Use part (a) to evaluate C ∇f · dr along the given curve C.
Consider F and C below. F(x, y, z) = yz i + xz j + (xy...
Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 12z) k C is the line segment from (2, 0, −3) to (4, 6, 3) (a) Find a function f such that F = ∇f. f(x, y, z) =       (b) Use part (a) to evaluate    C ∇f · dr along the given curve C.
find the work done in the force camp F(x,y,z)=<xz,xy,zy> in a particle that moves along the...
find the work done in the force camp F(x,y,z)=<xz,xy,zy> in a particle that moves along the curve <t^2,-t^3,t^4> for 0 <= t <= 1 THE F is F(x,y,z)= <xz,yx,zy>
1. a) For the surface f(x, y, z) = xy + yz + xz = 3,...
1. a) For the surface f(x, y, z) = xy + yz + xz = 3, find the equation of the tangent plane at (1, 1, 1). b) For the surface f(x, y, z) = xy + yz + xz = 3, find the equation of the normal line to the surface at (1, 1, 1).
Find the work done by the force field F(x,y,z)=2xi+2yj+7kF(x,y,z)=2xi+2yj+7k on a particle that moves along the...
Find the work done by the force field F(x,y,z)=2xi+2yj+7kF(x,y,z)=2xi+2yj+7k on a particle that moves along the helix r(t)=3cos(t)i+3sin(t)j+4tk,0≤t≤2π
Find the work done by the force field F(x,y,z)=6xi+6yj+7k on a particle that moves along the...
Find the work done by the force field F(x,y,z)=6xi+6yj+7k on a particle that moves along the helix r(t)=5cos(t)i+5sin(t)j+7tk, 0 ≤ t≤ 2π
Let F(x, y, z) = (yz, xz, xy) and the path c(t) = (cos3 t,sin3 t,...
Let F(x, y, z) = (yz, xz, xy) and the path c(t) = (cos3 t,sin3 t, 0) for 0 ≤ t ≤ 2π. Evaluate R c F · ds. Hint: Identify f such that ∇f = F.
Let F(x, y, z)  =  (3x2 ln(6y2 + 2) + 8z3) i  +  (  12yx3 6y2...
Let F(x, y, z)  =  (3x2 ln(6y2 + 2) + 8z3) i  +  (  12yx3 6y2 + 2 + 7z) j  +  (24xz2 + 7y − 10π sin πz) k and let  r(t)  =  (t3 + 1) i  +  (t2 + 2) j  +  t3 k ,  0  ≤  t  ≤  1. Evaluate   C ∫ C F · dr .
Let F~ (x, y, z) = x cos(x 2 + y 2 − z 2 )~i...
Let F~ (x, y, z) = x cos(x 2 + y 2 − z 2 )~i + y cos(x 2 + y 2 − z 2 )~j − z cos(x 2 + y 2 − z 2 ) ~k be the force acting on a particle at location (x, y, z). Under this force field, the particle is moved from the point P = (1, 1, 1) to Q = (0, 0, √ π). What is the work done by...
Find the work done by the vector field F = 〈 2 xy + z/y ,...
Find the work done by the vector field F = 〈 2 xy + z/y , x^2 − xz/ y^2 , x/y 〉 and C is the line segment that goes from (1,3,2) to (1,4,6).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT