In 3-spnoe the oquations =+y=0,2=0 describe None of the above is correct. a plane parallel with...
8. Find the surface area of the part of the plane z+y+z4 over the rectangle [0, 1]x[0,2 b) 3 c) 2v3 d) 8 e) 12 8. Find the surface area of the part of the plane z+y+z4 over the rectangle [0, 1]x[0,2 b) 3 c) 2v3 d) 8 e) 12
Please provide clear handwritings for answers and specific step by step explanations of questions 3 and 4. Thank you. 3. Are the plane 6z 3y - 4z-12 and line L 2, y 32t, z2-2t parallel? If so, find the distance between them. If they are not parallel, but are intersecting (at a single point), find the point of intersection. If they are none of the above, draw a cat. 4. The line r(t) = 〈1, 1,1〉 +t(1,3,-1) and the plane...
/// (1 point) Evaluate the triple integral 1 yd where D is the region in the first octant (z > 0, y 0,2 2 0 below the plane z = 1 y and with z /// (1 point) Evaluate the triple integral 1 yd where D is the region in the first octant (z > 0, y 0,2 2 0 below the plane z = 1 y and with z
For each of the objects described below, state whether it is parallel, orthogonal or neither to the parametric line I = 3t - 7 y = - +4 z = 2t +1 (a) the vector ū = [14, 8, -1] Parallel Orthogonal Neither (b) the plane 3x - y - 5z = 17 Parallel Orthogonal Neither (c) the line with vector equation [x, y, z) = (1,5, 1] + t[ 6,2, 4 Neither Orthogonal Parallel [1,0,0] + t1,5,1 + $5,...
3 y+ z 0 2. Let W be a plane characterized by the equation W. D (5 Find an orthonormal basis for (57) Find the standard matrix for the orthogonal projection of R onto W 2) Find the distance between a vector (2, 2, 15) and the plane W. (5 (3 3 y+ z 0 2. Let W be a plane characterized by the equation W. D (5 Find an orthonormal basis for (57) Find the standard matrix for the...
Find the point of intersection of plane 4x+5y-52-4=0 and the following line: (x-4)/5 = (y+3)/3 = z/3 If they have a point of intersection, enter the x-value of point in the following box. If the line is on the plane, enter ON in the box. If the line is not on the plane, and they are parallel, enter P in the box.
24. By analyzing the normals, determine if the three planes intersect in a point. π1: x-5y + 2z-10-0 (2 marks) 25. Find the value of k so that the line [x, y, z] = [2,-2, 0] + r[2 kx+Zy-4: = 12. -3] is parallel to the plane (2 marks) 24. By analyzing the normals, determine if the three planes intersect in a point. π1: x-5y + 2z-10-0 (2 marks) 25. Find the value of k so that the line [x,...
please select the correct answer, thanks Describe the set of points zin the complex plane that satisfy the given equation: Iz-il = 12 +11 The line y = -X 1." 2. The line y = x 3. The line y = 2x 4. The line y = -2X QUESTION 17 Evaluate the given integral along the indicated contour. 2z)dz, where C is z(t)=t+ it?, ostsi 1.-12 +1 • 2.2 0 3.41 O 4.4
Please solve correctly and clearly. An infinite conducting plane exists at z-0. At a height of I m above the plane is a 2 m line of charge with uniform charge density pi. The line is parallel to the axis and centered about the z axis (i.e., its endpoints run from (-1, 0, 1) to (1,0, 1). Provide the expression that can be used form of an integral (or two). The goal is to set up the integrals with as...
Determine whether the line x = 7 – 4t, y = 3 + 6t, z = 9 + 5t and the plane 4x + y + 2z = 17 intersect or are parallel. If they intersect, then find the point of intersection