Consider a particle that moves through the force field f(x, y) = (y − x)i + xyj from the point (0, 0) to the point (0, 1) along the curve x = kt(1 − t), y = t. find the value of k such that the work done by the force field is 1.

The work done by is

where is the given curve and is the given parameterization of . We have

Then the work done by is

In order for the work to be 1, we need to have .

b) well because you get well

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: