1. (5 pts) Sketch clearly at least 6 representatives for the vector field F(x, y) =...
1. Sketch the vector field F x, y+(y-x)j F(x, y x, y f 2. Find the gradient vector field of f(r, y)-xe"
1. Sketch the vector field F x, y+(y-x)j F(x, y x, y f 2. Find the gradient vector field of f(r, y)-xe"
(10) Consider the vector field F (x, y, z) = (x,y, z). Clearly sketch and label three oriented surfaces S, So and S whose flux is negative, zero, and positive, respectively. Be sure to indicate orientations. Explain your conclusions
(10) Consider the vector field F (x, y, z) = (x,y, z). Clearly sketch and label three oriented surfaces S, So and S whose flux is negative, zero, and positive, respectively. Be sure to indicate orientations. Explain your conclusions
Sketch by hand the 3D vector field F(x, y, z)- -yk. Label everything.
Sketch by hand the 3D vector field F(x, y, z)- -yk. Label everything.
Question 1 5 pts True or False. The vector field F(x, y) = {xy i + 1x2 j is conservative. True O False
Please describe the contour map and list important aspects of
it, thanks!
Let f(x,y) -2(xy 1) be a scalar function in R2. a) Find the vector field F(x, y) for which f(x, y) is a potential function, b) c) sketch a contour map of f (x, y) and, on the same figure, sketch F(x,y) (on R2). Comment on any important aspects of your sketch.
Let f(x,y) -2(xy 1) be a scalar function in R2. a) Find the vector field F(x,...
please answer asap
Sketch the vector field at the given points marked in the xy-plane. (a) =< 0, y > (b) F =<-x,y >
Sketch the vector field at the given points marked in the xy-plane. (a) = (b) F =
(b) Let F: R2 + Rº be a vector field on R2 defined as F(x, y) = (3y, 22 – y). Suppose further that ^ C R2 is a curve in R2 consisting of the parabola y = 22 - 1 for 1 € (-1,0) and the straight line y = 1 – 1 for 1 € [0,1]. (i) Sketch the curvey in R2 [2] (ii) By considering the curve y piecewise, compute the vector field integral: [5] F(x). F(x)...
6. (10 pts) Use calculus to sketch the graph of f(x) = 6.5-3x Show clearly the (x, y) coordinates of all (-) and x +0. You must show local max, local min, and inflection points. Show clearly the behavior as x ALL work that justifies the shape of your graph.
can you solve this vector problems?
Find the outward flux of the vector field F(x, y, z) = (xi + yj
+ zk)/(x 2 + y 2 + z 2 ) 3/2 across the ellipsoid 4x^2 + 9y^2 + z^2
= 1.
6. (12 pts.) Find the outward flux of the vector field F(r,y, ) (ri yj+ zk)/(x2 + y2 22)3/2 across the ellipsoid 4r2 +9y2 + z2 = 1
6. (12 pts.) Find the outward flux of the vector...
1. Sketch the vector fields: (a) F(F) (b) F(r, y)(+ y)+ (x- y)