
B BQ bis LB (2y) (x-10) (3x-4y) (8y) A Order of sides: Classification: Side Classification:
x-4 7. Pax- 8. 4x-y=3 (3x +2y=-18 10. 1, y=2x-4 12.13x+4y-8 r=-4
Find the volume of the following regions bounded by the planes: a). 3x+8y+8z=9, 3x+8y+8z=9, y=x, x=0, z=0. b). 5x+3y+5z=2, 5x+3y+5z=2, y=x, x=0, z=0.
Minimize the objective function 1/2x+3/4y subject to the constraints (In graph form please) 2x+2y>=8 3x+5y>=16 x>=0, y>=0
Given are the polynomials P1:=1+ 2y + 3y?, P2 :=1+ 4y +9y?, Pz:=1+ 8y + 27y. To show that P1, P2, P3 € R2[y] are linearly independent, proceed as follows. (a) Find the images Vı := [PL]B, V2 := [P2]B and V3 := [P3]b in R3 of P1, P2 and P3 under the coordinate map with respect to the standard basis B = {1, y, yʻ} of R2[y]. (b) Form the matrix A = (v1 V2 V3] and find its...
Four charges Aq,Bq,Cq, and Dq (q = 1.00 x 10-07C) sit in a plane
at the corners of a square whose sides have length d = 58.5 cm, as
shown in the diagram below. A charge, Eq, is placed at the origin
at the center of the square.
Part b
What is the net force, in the y direction, on the center
charge?
YA Aq Bq Eq 0 Dq Cq square of side length, d DATA: A6, B-8, C- 5,...
Solve the following system of equations analytically. Give exact answers. (10 pts) A) • x-2y + 3z = 5 2x + 3y - z= -4 • 3x - 4y - 2z = -16
4 3 In the xy-plane, the equations x + 2y = 10 and 3x + 6y = c represent the same line for some constant c. What is the value of c? 2yX-10
please help ! Q1-Q6
1. Let F (3x - 4y +22)i+(4x +2y 3z2)j + (2xz moving once around an 4y zk be a vector field. Consider a particle ellipse C given by parametrization r= 4 cos ti +3 sin tj. Find the work done. 3 3 = 3, y=-- and 2 1 2. Let D be the region in the first quadrant bounded by the lines y=-r1, y 4 + 1. Use the transformation u 3 2y, v r +...