how do you find the coordinates of the point (x, y, z) on the plane z = 1 x + 1 y + 2 which is closest to the origin
3. What point on the line y = 7 - 3x is closest to the origin? a. Sketch the line carefully and mark the point on the line that you think is closest to the origin. b. Write the distance between the origin and a point (x,y) in the plane. If you don't know, think of a triangle with base x and height y. 8 7 6 c. The point must be on the line, so you can write the...
Find the point on the plane x - 2y ^ 3 * z = 6 that is closest to the point (0, 1, 1) .
(1 point) The plane x y + 2z = 8 intersects the paraboloid z = x2 + y in an ellipse. Find the points on this ellipse that are nearest to and farthest from the origin. Point farthest away occurs at ). Point nearest occurs at
(1 point) The plane x y + 2z = 8 intersects the paraboloid z = x2 + y in an ellipse. Find the points on this ellipse that are nearest to and farthest from...
b-) Find the point closest to the origin on the intersection curve of the 2² = 3 (x² + y2) cone and the 2y+42=5 Plane? 2.)
1. Using polar coordinates in the x-y plane, find the volume of the solid above the cone z r and below the hemisphere z= v8-r2. As a check the answer is approximately 13.88 but of course you have to calculate the exact answer 2. At the right is the graph of the 8-leafed rose r 1+2cos(40) Calculate the area of the small leaf. As a check the answer is 0.136 to 3 places of decimal (But of course you have...
3. Polar Coordinates. (a) Given a rectangular coordinate point (x, y), how do you compute the equivalent polar coordinates: (r, 0)? (b) Given a polar coordinate (r, o), how do you compute the equivalent rectangular coordinate: (x, y)? (c) Consider the drawing in Figure 1. Compute the coordinate of each small circle. (d) What if the circle is centered at the point (cx, cy) (and not the origin). How does the formula change?
Find the coordinates of the point on the curve y=2x+3 that is closest to the point (3.0). If f(0) = sine, find f" (2/6).
Imagine a 3-dimensional world with coordinates that are labeled with x, y, and z, as if you are in a room with walls, ceiling and floor. The edges are x, y and z with z up toward the ceiling, the flat plane floor is x-y. Starting at the origin, go along "x" 2 meters. Then go parallel to "y" 3 meters. Then go up parallel to "z" 2 meters. This point is somewhere in the room above the floo What...
Infinite sheet carrying surface charge density sigma = - 1 MuC/m^2 is in y-z plane. A point charge q= +8pie MuC is located on x-axis at point (1,0) one meter from the origin. Find the forces acting on the charge q and on the charged plate. Find a coordinate or coordinates on the x-axis for which the net electric field zeroes.
Find the point at which the line intersects the given plane. x = y – 2 = 4z; 4x – y + 2z = 12 (x, y, z) = ( (x, y, z) = D