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27 lip 2017 · Calculus 3: Line Integrals (20 of 44) Vector Field: Find the Work Done: Ex. 2. Visit http://ilectureonline.com for more math and science lectures! In this video I will find the work done in...
31 lip 2017 · Visit http://ilectureonline.com for more math and science lectures!In this video I will find the work done in a vector field W= (F) (dr) where F (x,y)= [ (x+y)]i+...
Introduction to vector fields, what they are, how to graph them. Review of the gradient vector field, and definition of a conservative vector field and its p...
Using a line integral to find the work done by a vector field example. Created by Sal Khan.
25 lip 2021 · There are some methods you can use to figure out what a vector field looks like when given an equation. know what the vector field looks like; find a program that graphs vector fields; graph vectors at a number of points until you get a sense of what the graph looks like. Use more advanced math you haven't learned yet
Explain what is meant by the vector projection of one vector onto another vector, and describe how to compute it. Calculate the work done by a given force.
F(x, y, z) = xi + yj + zk F ( x, y, z) = x i + y j + z k. compute the work done by F on a particle moving along C. So work done is given by: ∫ C F ⋅ dr ∫ C F ⋅ d r. Our parametrization is given in the problem. Taking the derivative and plugging it in the line integral, we have: ∫ C (1 + 2 sin(t), 1 + 5sin2(t), 1 + 4sin3(t)) ⋅ (2 cos ...
