PLAN 343 Midterm: geog 343 march 7 midterm notes.pdf

Evaluate the line integral where F(X,Y,Z) =... and C is given by the vector function.... where 0 < t <1

Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = y i + x j + z2 k S is the helicoid (with upward orientation) with vector equation r(u, v) = u cos(v) i + u sin(v) j + v k, 0 ≤ u ≤ 1, 0 ≤ v ≤ 2π

Particle Collision Two
A collision occurs between a 1.80 kg particle traveling withvelocity v = (-4.00 m/s) i + (-5.00 m/s) j and a 4.00 kg particletraveling with velocity v = (6.60 m/s) i + (-2.60 m/s) j. Thecollision connects the two particles. What then is their velocityin each of the following notations?
(a) unit-vector notation
( m/s ) i + ( m/s ) j
(b) magnitude-angle notation
m/s angle ° (counterclockwise from the positive x axis)