Find the maxima or minima and green theorem, Mathematics

1) find the maxima and minima of f(x,y,z) = 2x + y -3z subject to the constraint 2x^2+y^2+2z^2=1

2)compute the work done by the force field F(x,y,z) = x^2I + y j +y k in moving a particle along the curve r(t) = (t,sin(t),cos(t)) where t is greater than or equal -pi and less than or equal pi.

3)use green's theorem to computer the integral F . dr where F = ( y^2 + x, y^2 + y) and c is bounded below the curve y= - cos(x),, above by y = sin(x) to the left by x=0 and to the right by x = pi/2

4) find the are length of r(t) = ( 1/2t^2, 1/3t^3, 1/3t^3) where t is between 1 and 3 (greater than or equal less than or equal)

5)sketch the level curves of f(x,y) = x^2-2y^2 for k = -1,0,1

6)let R be the triangle with vertices (0,0), (pi, pi) and (pi, -pi). using the change of variables formula u = x-y and v = x+y , compute the double integral (cos(x-y)sin(x+y) dA as an integral in du and dv.

7) compute the center of mass of the solid of unit density 1 bounded (in spherical coordinates) by p=1 and by φ is greater than or equal 0 and less than or equal pi/4

 

Posted Date: 2/20/2013 12:33:00 AM | Location : United States







Related Discussions:- Find the maxima or minima and green theorem, Assignment Help, Ask Question on Find the maxima or minima and green theorem, Get Answer, Expert's Help, Find the maxima or minima and green theorem Discussions

Write discussion on Find the maxima or minima and green theorem
Your posts are moderated
Related Questions
Determine How many player play foot ball? In a group of athletic teams in a specific institute, 21 players are in the basket ball team, 26 players in the hockey team, 29 player

2.46825141458*1456814314.446825558556

The height of a parallelogram measures 5 meters more than its base. If the area of the parallelogram is 36 m 2 , what is the height in meters? Let x = the measure of the base a

Two stations due south of a leaning tower which leans towards the north are at distances a and b from its foot.  If α ,  β be the elevations of the top of the tower from these


advanteges of duality

what''s the beneit of study mathematics ?

show that all primes except 2, are of the form 4n-1 or 4n+1

If 7sin 2 ?+3cos 2 ? = 4, show that tan? =   1/√3                      . Ans:    If 7 Sin 2 ? + 3 Cos 2 ? = 4 S.T. Tan?  1/√3 7 Sin 2 ? + 3 Cos 2 ? = 4 (Sin 2 ? + Cos 2 ?)

how to get the objective report?