Consider the field {m{x,y],n[x,y]} given by: [1+3x-3x^2 +3y^2, -3y +6xy}
Could this field be a candidate for a model for of a fluid flow without sources or sinks?
What is the flow of this field along the ellipse ((x-3)^2/2^2) + 6(y+2)^2=1
Consider the field {m{x,y],n[x,y]} given by: [1+3x-3x^2 +3y^2, -3y +6xy} Could this field be a candidate...
2. x+4y= 14 2x - y=1 x=2, y=3 3. 5x + 3y = 1 3x + 4y = -6 x=2, y=-3 | 4, 2y- 6x =7 3x - y=9 No solution/Parallel lines
Use the transformation u = 3x + y, v=x + 3y to evaluate the given integral for the region R bounded by the lines y = - 3x + 1, y= - 3x + 3, y= - = X, and y=- -x + 2. ne lines y = – 3x+1, y = – 3x+3, y=-3x, and y=-**+2. 3 Siſ(3?+ 16 +3%) dx ay SJ (3x? + 10x9 +35) dx dy=0 (Simplify your answer.)
Given (dy/dx)=(3x^3+6xy^2-x)/(2y) with y=0.707 at x= 0, h=0.1 obtain a solution by the fourth order Runge-Kutta method for a range x=0 to 0.5
(1 point) Consider the vector field F(x, y, z) = (2z + 3y)i + (2z + 3x)j + (2y + 2x)k. a) Find a function f such that F = Vf and f(0,0,0) = 0. f(x, y, z) = b) Suppose C is any curve from (0,0,0) to (1,1,1). Use part a) to compute the line integral / F. dr. (1 point) Verify that F = V and evaluate the line integral of F over the given path: F =...
Consider an electric field E= 2x i^ - 3y j^ . The coordinates x and y are measured in meters and the electric field is in N/C. What is the magnitude of the flux of this field through a square whose corners are located at (x, y ,z) = (0, 2, 0), (2, 2, 0),(2, 2, 2),(0, 2, 2)? A) 24 Nm2/C B) 6 Nm2/C C) 48 Nm2/C D) 12 Nm2/C E) 0
for a discrete system, answer the following
5- Find the total response for: y(n 2) +13y(n +1) + 22y(n)-x(n + 1) + 5x(n) x(n)- (0.2)nu(n) With the initial condition y(-1) - 0 and y(-2) 3 Identify the natural and forced response of the system. 6- Find the total response for: y(n 2) + 3y(n + 1) + 2y(n)- x(n + 2) +3x(n +1) + 3x(n) With the initial condition y(-1) -1 and y(-2) 2 Identify the natural and forced response...
3. (28 points) Let f(x,y) = 2x3 - 6xy+3y- be a function defined on xy-plane. (a) (6 pnts) Find first and second partial derivatives of f. (b) (10 pnts ) Determine the local extreme points of f (max., min., saddle points) if there is any. (C) (12 pnts) Find the maximum and minimum values of f over the closed region bounded by the lines y = -x, y = 1 and y=r
Given the vector field F = <(x^2)y + (y^3) − y , 3x + 2(y^2)x + e^y> For which simple closed curve in the plane does the line integral over this vector field have a maximal value? Find this value. Should we have expected the line integral over all simple closed curves to be zero?
Find the magnitude of H(e^jtheta) and the difference equation corresponding to it: a) y(n)-3y(n-1)=x(n) b) y(n)=1/3{x(n+1)+x(n)+x(n-1) c) y(n)=4x(n)+7x(n-1)+3x(n-2)+5y(n-1)+2y(n-2) d) (only difference eq) H(e^jtheta)= (1+.5e^theta)/(1-.5e^-jtheta)
answer all parts please except A if you cannot
(6) Consider the vector field F(x,y)-《22, 3y). A path is closed if it ends whiere it starts Consider the 3 closed paths starting and ending at (3,0): C1 the circle of radius 3 centered at the origin, C2 the ellipse with equation 2 +3y2-9, and Cs the flat linear path going to -3 and then going straight back. (a) Use GeoGebra to plot the vector field F (b) For each, parametrize...