Find the work done by F= ((x^2)+y)i+((y^2)+x)j+(z*(e^z))k over the following pat

ID: 3211841 • Letter: F

Question

Find the work done by F= ((x^2)+y)i+((y^2)+x)j+(z*(e^z))k over the following paths from (5,0,0) to (5,0,5).

a.) The line segment x=5, y=0, z --> from 0 to 5

Find a scalar potential function f for F, such that F=?f

b.) The helix r(t)= (5cost)i + (5sint)j + (5t/2pi)k: t--> from 0 to 2pi

Find df/dt for F. What is the work done by F over the helix?

c.) The x-axis from (5,0,0) to (0,0,0) followed by the line z=x, y=0 from (0,0,0) to (5,0,5)

What is the integral to comput the work done by F along the x-axis from followed by the line z=x?

What is the work done by F over the 2 curves?

5e5 is work done

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