Evaluate the line integral ∫cf⋅dr∫cf⋅dr, where f(x, y,z)=−5xi+yj+zkf(x, y,z)=−5xi+yj+zk and c is given by the vector function r(t)=⟨sint, cost, t⟩, 0≤t≤3π/2.

If given an equation of a line such as -1/2x+6 how would you create an equation of a line parallel and perpendicula to this line that goes through another point such as (4,10)

Thelime contains the point(-3,0) and parallel x-3y=3( show all work)

How many solutions does the nonlinear system of equations graphed bellow have?