partial differential equations question Problem 6. a) Find all possible surfaces orthogonal to the planes x...
Struggling with this differential equations problem. Can't find the integrating factor to continue Solve the equation. (4x2 +2y+ 2y2dx + (x + 2xy)dy 0 An implicit solution in the form F(x,y) C is by multiplying by the integrating factor C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.)
Consider the following. z = x2 + y2, z = 36 − y, (6, -1, 37) (a) Find symmetric equations of the tangent line to the curve of intersection of the surfaces at the given point. x − 6 12 = y + 1 −2 = z − 37 −1 x − 6 1 = y + 1 12 = z − 37 −12 x − 6 = y + 1 = z − 37 x − 6 12 =...
Find partial differential z/partial differential x and partial differential z/partial differential y if z^2 +zx sin(xy)+ x^3y = 0 Find partial differential f/partial differential u, evaluated at the point where u = -1 and v= 1, if f(x, y) = x^3y, x(u, v) = v - u, and y(u, v) = u^2 +v^2
T (1 point) Find the solution to the linear system of differential equations 8.x - 2y 12x - 2y satisfying the initial conditions (0) = -5 and y(0) -13 z(t) = y(t) Note: You can earn partial credit on this problem. preview answers Entered Answer Preview
Hi need help for this Question Surface Integral Question: Given Formula Question 2 'Eand G is the surface passing through the points D.E Figure 1 shows 2 curved surfaces. S is the surface passing through the points A, B, Cand D. The equations of both su given in the figure. Determine the unit surface normal for S2 at the poi0,.s a volume directly above S2 and below S 0.5,0.5) and the D1,0,2) S2:z (1-x)(1-y) Figure 1 Equations for curves and...
Find the equations of the planes that bisect the angles between the two planes P1: x+y+z=1 P2: 2x-3y+z+1=0 7) Find the equations of the planes that bi sect the angles between the two planes Ix+y+z=1 92: 2 x - 3y + Z +-0
6. Find the flux of F(x, y, z) (ax, by, cz) a > 0, b > 0, c> 0, through the surface S, where S is the part of the cone z = Vax)2 + (by)2 that lies between the planes z = 0 and z = 2, oriented upwards. [10]
Solve c and d Please. Find the area of the following surfaces. a) The part of the plane 3z + 2y +z 6 that lies in the first octant. b) The part of the cone zVy that lies between the plane y z and the cylinder y-x c) The surface with vector equation r(u, u) = (u . cos(v), u . sin(v), u) , where 0 u 1, 0 v S T. d) The portion of the unit sphere that...
Find the equation of the plane that passes through the ine of intersection of planes x+z=1 and y+2z=3 and is orthogonal to the plane x+y+z=34256. Express your answer in general form.
Question 12 Find parametric equations for the line of intersection of the planes - 2y+z= 1 and 2x + y - 3x = -3. Does the line L intersect the plane 2x - y - 3x = 1? If so, at what point? Note: This is the review exercise at the end of Lecture 2.