Give an example equation of each of the common surfaces this course (plane, sphere, cylinder, cone,...
Sketch the described surfaces. Give a parametrization of each. (Be sure to include bounds of parameters as necessary): (a) A cone with its point at (1, 3, 4) and its base a circle of radius 6 on the plane z = 7, centered at (1, 3, 7) (b) A cylinder of radius 3/2 centered at the y-axis, with a base on the plane y = 0 and height going on to y = +. (c) The plane 2x+3y+z=10 restricted to...
Parameterize the following surfaces in R3. Describe
if the surface is open or closed. If the surface is open, give a
parameterization of its boundary,
6. Parametrize the following surfaces in R3. Describe if the surface is open or closed. If the surface is open, give a parametrization of its boundary (positively oriented). (a) The part of the plane z - 2y 3 inside the cylinder 2 y16 (b) The sphere of radiuscentered at the origin. (c) The part of...
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...
5. Let C be the curve that is the intersection of the given surfaces. Find an equation of the cylinder perpendicular to the xy plane that contains the curve Identify the curve C'by name and draw a sketch of the projection of C on the plane. Label the intercept points on the graph. by name and draw a sketch of the projection of C on the
5. Let C be the curve that is the intersection of the given surfaces....
Shapes Cube, Cuboid, Sphere, Cylinder, Cone Colors Red, Green, Blue, Black This controller shall have the follow modules: 3-D object printing: This printer reads 3-D object data (including shape, color, and dimensions) from user and print one object 3-D objects statistics: All 3-D objects' data shall be stored properly to allow user to retrieve their statistics. For example, the following are some typical statistics user would be interested in o What is the percentage of each color of printed objects?...
in C++ use Inheritance for the following Shape Circle Sphere Cylinder Rectangle Square Cube You must define one class for each shape. And, use public inheritance when deriving from base classes. Circle int r; void area(); void perimeter(); void volume(); //No volume for circle Sphere int r; void area();//Sphere surface area= 4 × pi × radius2 void perimeter(); //No perimeter for Sphere void volume();//Sphere volume= 4/3 × pi × radius2 Cylinder int r, height; void area();// Cylinder surface area=perimeter of...
EXAMPLE 16.5 The large window in Fig. 16-10 is opened using a hydraulic cylinder AB. If the cylinder extends at a constant rate of 0.5 m/s, determine the angular velocity and angular acceleration of the window at the instant 0 30° 1 m SOLUTION Position Coordinate Equation. The angular motion of the window can be obtained using the coordinate 0, whereas the extension or motion along the hydraulic cylinder is defined using a coordinate s, which measures its length from...
for each type of radioactive decay, compare the parent
1(a). Find an equation of the plane through (1,2,3) having normal vector (7,-1,2). (b) Find an equation of a plane parallel to the plane from Part (a) that goes through (1,1,1). (c) Find an equation of a plane perpendicular to the plane from Part (a) that goes through (1,1,1). 2. Match each of the equations below with the appropriate plot. Give justifications. (a) r(t) = cos(4t), y(t) = t. z(t) =...
I/O Scheduling Algorithms a) For each of the following scheduling algorithms, give a 1-2 sentence description of how it works. The description should be precise enough to distinguish each algorithm from the others. Algorithms: FCFS, SSTF, SCAN, C-SCAN, C-LOOK. (1 point) b) Given a hard disk with 200 cylinders and a queue with jobs having the following cylinder requests: 80, 190, 70, 130, 30, draw a diagram of the movements of the head for each of the algorithms listed in...
o1 points 1 Previous Answors LarPCalc8 10.2.012. 1. Describe in words how a plane could intersect with the double-napped cone shown to form the conic section. (Select all that apply.) Hyperbola e The plane intersects both the top and bottom of a double-napped cone. The plane is perpendicular to the axis of the cone. e The plane intersects only the top or bottom half of a double-napped cone. The plane is parallel to the axis of the cone. The plane...