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Mathematics, 02.12.2019 19:20 joelpimentel

Find the work done by f= (x^2+y)i + (y^2+x)j +(ze^z)k over the following path from (4,0,0) to (4,0,4)

a. the line segment x=4 y=0 z=[0; 4]

find a scalar potential function f for ​f, such that

f=∇f.

the work done by f over the line segment is?

b. the helix r(t)= (4cost)i +(4sint)j +(2t/pi)k t=[0; 2pi]

find df/dt for f?

the work done by f over the helix?

c. the x axis from (4,0,0) to (0,0,0) followed by the line z=x, y=0 from (0,0,0) to (4,0,4)

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

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Find the work done by f= (x^2+y)i + (y^2+x)j +(ze^z)k over the following path from (4,0,0) to (4,0,4...
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