Find the column space of the equation of the plane: 9*x +8*y -5*z +10 = 0.
Find the column space of the equation of the plane: 9*x +8*y -5*z +10 = 0.
Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6 Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6
5) Find the equation of the tangent plane to the ellipsoid F(x, y, z) = * ++ z2 – 1 = 0 at (0,4,)
9. Find the Green's function for the ilted half-space (x, y, z): ax +by + cz > 0). (Hint: Either do it from scratch by reflecting across the tilted plane, or change variables in the double integral (3) using a linear transformation.) 9. Find the Green's function for the ilted half-space (x, y, z): ax +by + cz > 0). (Hint: Either do it from scratch by reflecting across the tilted plane, or change variables in the double integral (3)...
5 and 6 please 5) Given the surface f(x, y, z) = 0 or z = f(x,y), find the tangent plane at P. a) z2 – 2x2 – 2y2 = 12 @ P=(1,-1,4) b) f(x,y) = 2x - 3xy3 @ 12,-1) c) f(x,y) = sin(x) @ (3,5) 6) Find an equation of the tangent plane and the equation of the normal line to surface f(x..zb=0 @P x2 + y2 + z2 = 9 P = (2,2,1)
5e= 2y at the point (4, 8, 5) |Find the tangent plane to the equation z Preview xy at the point (6,8,10), and use it to approximate f(6.15, 8.19) 12 Find the linear approximation to the equation f(x, y) = 5, Preview f(6.15, 8.19) Make sure your answer is accurate to at least three decimal places, or give an exact answer 5e= 2y at the point (4, 8, 5) |Find the tangent plane to the equation z Preview xy at...
Find the distance between the line with equation 1+t and the plane with equation x +y+z 8 in R3. Hint. The line is parallel to the plane, so pick a point on the line and find the distance. Enter your answer rounded to the second decimal place. MULTIPLE TRIES ALLOWED Answer: Check
The graphs of the surfaces z=(x²+y²)² and z=3-2 x²-2 y² intersect in 3D-Space. Find an equation for the projection of this intersection in the x y-plane.
A space curve is defined by C: T(t)=(5t2+4t)2+4tj+t3k, for t> 0. Find the Cartesian form of the equation for the plane that is perpendicular to the space curve C at the point P: (28, 8, 8). Your answer should be an equation, expressed in terms of the Cartesian variables x, y and z using the correct syntax For example: 3*x-2*y+5*z=2, or, 2*(x-1)+4*(y-2)+z-1=0, or 3*x+ 6*z=12-y, or y-x+35*(z-256)=20 Do not use decimal approximations all numbers should be entered as exact expressions,...
Find the equation of the tangent plane to z = sin(x²y) + 2 at the point (5,0,2). Select one: 25x + y - 5 O a. O b. 24y - 5 24x + 2 OC. 25y + 2 O d.
5. Find the equation of the tangent plane to z = x2 + y2 at (x, y) = (1,2). 6. Set up (do not evaluate) iterated integrals for both orders of integration of ydA, where D is the region bounded by y = x2 and y = 3x.