

a) Sketch and identify the type of quadric surface represented by the equation
Identify the type of surface represented by the given equation. 3) x2 + x2 22 = 1 4 9
Identify the type of surface represented by the given equation. x2 z2 y 14) 5 7 5
5.26. Sketch an accurate picture of the graph surface of the wave equation solution given by f(x)-0 and 14 (x, 0) = g(x) δ (x) for c 1 on the domain D-1-3, 3 x 10.3]. Recall that
5.26. Sketch an accurate picture of the graph surface of the wave equation solution given by f(x)-0 and 14 (x, 0) = g(x) δ (x) for c 1 on the domain D-1-3, 3 x 10.3]. Recall that
(i) The sides of a given grain silo are represented by the equation of the cylinder x2 +y-3. The top of the silo is the portion of the sphere x2 + y2 + z2-7 lying within the cylinder and above the zy plane. Sketch and find the volume of the silo using an appropriate coordinate system Q2. [10] (ii) Given that C is the boundary of the plane 2x +2y+z = 6 that lies in the first octant and F...
A pair of parametric equations is given. x = y=t+3 (a) Sketch the curve represented by the parametric equations. -10 5 -10 5 10 -10 -51 5 10 * -10 -5 MM 5 10 (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.
please write neatly and no script!
4. (10 points) Describe the surface given by the equation in cylindrical coordinates. TT (a) r = 5 (b) 0 = (c) r = 2 4
3.) Sketch the curve represented by the parametric equation and indicate the orientation of the curve. Also, write the corresponding rectangular equations by eliminating the parameter. x = sec , y = cos 0, 0<O< 1/2, 7/2 <OS
6. (6 pts.) Sketch the level curves for the given surface.
6. (6 pts.) Sketch the level curves for the given surface.
Describe in words the surface whose equation is given the plane perpendicular to the xy-plane passing through y X, where x 2 0 3 the top half of the right circular cone with vertex at the origin and axis the positive z-axis the base of the right circular cone with vertex at the origin and axis the positive z-axis 3 x, where x 2 0 the plane perpendicular to the xz-plane passing through z the plane perpendicular to the yz-plane...