Match the given equation with the verbal description of the surface:A. Circular CylinderВ. ConeC. Half planeD. PlaneE. Elliptic or Circular ParaboloidF. Sphere1. ρ=42. 0 =%3D3. r = 44. p cos(4) =5. z = r26. r = 2 cos(0)7. ρ=2cos (φ)8. r2 + z2 = 169. 0= 4

Answered: Match the given equation with the…

Match the given equation with the verbal description of the surface: A. Circular Cylinder B. Cone C. Half plane D. Plane E. Elliptic or Circular Paraboloid F. Sphere

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

What is a level curve? Choose the correct answer below. A. A level curve is a plot that is made of various traces graphed on one set of axes. B. A level curve is the intersection of the surface with a plane parallel to the xy-plane. C. A level curve is the intersection of the surface with the yz-plane or the xz-plane. D. A level curve is the trace that results from a surface being cut by a slanted plane.
A surface is defined by the following equation: 9x2 + 16y2 + 9z2 = 25. Sketch the intersection between this surface and the xy, xz, and yz planes.
Consider the plane 2x + 5y + z = 10. find the surface area of the plane in the first quadrant. Exact answers only, no calculator answers.
Consider the surface defined by the following equation and complete parts a. through d. below. Z-√√x=0 a. Identify and briefly describe the surface. O A. The surface is a cylinder with values above and below the xy-plane whose trace in any plane parallel to the xy-plane is the square root function. O B. The surface is a cylinder whose values are always above the xy-plane and whose trace in any plane parallel to the xz-plane is a parabola. O C. The surface is a cone above the xy-plane, opening away from the xy-plane and centered around the z-axis. D. The surface is a cylinder whose values are always above the xy-plane and whose trace in any plane parallel to the xz-plane is the square root function. b. Find the xy-trace, xz-trace, and yz-trace when they exists. First, find the xy-trace. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation for the xy-trace is OB. The xy-trace is a single point (... O C. The xy-trace does not…
Describe the 3-space graph of the equation z? = y? + x². A. a circle having radius z in the xy-plane O B. a surface of revolution obtained by rotating the parabola z = y? in the yz-plane about the z-axis O C.a circular cylinder with axis along the z-axis radius z O D. a surface of revolution obtained by rotating the parabola z = x2 in the xz-plane about the z-axis O E. a circular cone with vertex at the origin, axis along the z-axis, and semi-vertical angle
An indoor physical fitness room consists of a rectangular region with a semicircle on each end. The perimeter of the room is to be a 200-meter single-lane running track. (a) Draw a diagram that illustrates the problem. Let x and y represent the length and width of the rectangular region, respectively.(b) Determine the radius r, in terms of y, of the semicircular ends of the track. r = Determine the distance d, in terms of y, around the inside edge of the two semicircular parts of the track. d = (c) Use the result of part (b) to write an equation, in terms of x and y, for the distance traveled in one lap around the track. Solve for y. y = (d) Use the result of part (c) to write the area A of the rectangular region as a function of x. A = (e) Use a graphing utility to graph the area function from part (d). Use the graph to approximate the dimensions that will produce a rectangle of maximum area. (Round your answers to two decimal places.) x = y =
The descriptions of surfaces in R3 are given below. Find an equation in p3 that fits each description. Type your answers using the built-in equation editor. a) a sphere centered at (-1, -2, 3) with radius equal to 2 b) a plane parallel to the xy-plane and intersects the z-axis at z 2
Identify the surface defined by the following equation. -x2²-√² + ²/²/20 4 + 8x - 4y = 24 Select the correct choice below and fill in the answer boxes to complete your choice. A. The surface defined by the equation is a hyperboloid of one sheet centered at (.. and is centered around the z-axis. In the xy-plane, the trace has length in the x-direction and length in the y-direction. B. The surface defined by the equation is a hyperboloid of two sheets centered at planes parallel to the xy-plane are ellipses. The shortest distance between the two sheets is C. The surface defined by the equation is an ellipsoid centered at (..) that has length in the y-direction, and in the z-direction. and whose traces in in the x-direction, D. The surface defined by the equation is an elliptic cone centered at (..) and whose traces in planes parallel to the xy-plane are ellipses.