MCV NL LAMIVI 20. Represent the following plane geometrically : 2x-y-5z = -2 (K/C)
Please complete #3. 2. Let f(x,y,z 3x2 + 4y2 +5z2- xy - xz - 2zy +2x -3y +5z. Apply 20 steps of Euler's method with a step size of h 0.1 to the system x'(t) y(t)Vf(x(t), y(t), z(t)) z'(t) (x(0), y(0), z(0)) = (-0.505-08) to approximate a point where the minimum of f occurs. Give the value of x (2) (which is the x coordinate of the approximate point where the minimum occurs). Note: This process is called the modified...
Solve the following system of linear equations by using the inverse matrix method X+Y+Z=4 -2X-Y+3Z=1 Y+5Z=9
3x+ y- P2 2x+3y + 5z =P3 4.36 Use Cramer's rule to solve the following system for z in terms of pı, p2, and p3. (Note that we have not asked for x or y.)
(9 pts) 2. Solve using the modified Gauss-Jordan method, as presented in class 2x+3y + 5z = 2. 4x + y - 2=4 2x + y
Q3 C on the plane defined by -z-y- 2 m2 For this problem you have K a) (15 points) Find the field that a charge Q feel when it is at y to plane of charge K 10m and z -20 m due b) (10 point) How much work is required to move the charge Q from that point to (z-10,y-20) to (x-20, y-40) C on the plane defined by -z-y- 2 m2 For this problem you have K a)...
Solve the system of equations using matrices. Use Gauss-Jordan elimination. 5) 5) -2x-y-5z =-38 4x + 2y-2z= 28 4x-5y + z=-16 A) ((-5, 8, 10) D) ((10, 8,-5) B) (5, 8,4)) C) (5, 4,8) Solve the system of equations using matrices. Use Gauss-Jordan elimination. 5) 5) -2x-y-5z =-38 4x + 2y-2z= 28 4x-5y + z=-16 A) ((-5, 8, 10) D) ((10, 8,-5) B) (5, 8,4)) C) (5, 4,8)
1 Use Stokes' theorem to evaluate the integrals: F(x, y, z) dr a) where F(r, y,z)(3yz,e, 22) and C is the boundary of the triangle i the plane y2 with vertices b) where F(x, y,z (-2,2,5xz) and C is in the plane 12- y and is the boundary of the region that lies above the square with vertices (3,5, 0), (3,7,0),(4,5,0), (4,7,0) c) where F(x, y,z(7ry, -z, 3ryz) and C is in the plane y d) where intersected with z...
Use the Gauss-Jordan method to solve the following system of equations. 5x+4y-3z+0 2x-y+5z=1 7x+3y+2z=1 Multiple Choice A.The solution is B.There is an infinite number of solutions. The solution is C. There is no solution.
Matching: Match the equation of each plane to its scalar form 2x-y-2-6.0 b.y Answer Alternate Equation 17 [x, y, :1 = [3, 2, 1]+42. 0, 31+13.0,2]s,t ER. 18. [x,y,:] = [5.-2. 31+43.-2.4]여5.-2, 6] s, t E R. 19. -1+2+3 20. [x,y,s]-[5, 4,-2]+42,-1,-1] 1.3.3]stER. 21. x--t + 22 y-2-1+4s s,tER. 22. Find the values of k such that the three planes never intersect in a point. (3 marks 4x+y- 17- x-y-kz+11-0 Page 3 of 6 23. The equation of a plane...
C is the curve of intersection of the paraboloid z (++y and the plane z 2x+2. 2. Evaluate [ F -dr using Stokes' Theorem. Choose the simplest surface with boundary curve C and orient it upward. C is the curve of intersection of the paraboloid z (++y and the plane z 2x+2. 2. Evaluate [ F -dr using Stokes' Theorem. Choose the simplest surface with boundary curve C and orient it upward.