5. Produce traces of the surface parallel to the three standard axes then use traces to sketch the surface 24y+2 5. Produce traces of the surface parallel to the three standard axes then use tra...
1. Produce traces of the surface parallel to the three standard axes then the use traces to sketch the surface. x² = 4,² +2² a b. y = 2r? +2? z + x2 = 5
1) Consider the surface x2 + 3y2-2z2-1 (a) What are the cross sections(traces) in x k,y k, z k Sketch for (b) Sketch the surface in space. 2) Draw the quadric surface whose equation is described by z2 +y2 - 221 (a) What are the cross sections(traces) inx-k,y k,z k Sketch for (b) Sketch the surface in space. a) Sketch the region bounded by the paraboloids z-22 + y2 and z - 3) 2 b) Draw the xy, xz, yz...
Graph iv. Using traces. 2.) Graph the following surfaces using traces (particularly the coordinate traces). Tip: Typically 5 traces are sufficient to obtain a reasonably accurate graph of the surface, unless you recognize immediately the surface based on the structure of the equation ii. 144x2 +400y +225z2 3600 -9x2 + 36y2-16z? = 144 2.) Graph the following surfaces using traces (particularly the coordinate traces). Tip: Typically 5 traces are sufficient to obtain a reasonably accurate graph of the surface, unless...
Consider the following equation of a quadric surface. a. Find the intercepts with the three coordinate axes, when they exist. b. Find the equations of the xy-, xz-, and yz-traces, when they exist. c. Identify and sketch a graph of the surface. + 10022 - - 4-0 c. Identify the shape of the surface. Hyperboloid of two shoots 0 Elliptic cone Hyperboloid one sheet O Ellipsold O Elliptic paraboloid O Hyperbolic paraboloid Choose the correct graph below. OA ов. c....
3 (i) Sketch y= 2* and y=x+2 on the same axes. (ii) Use your sketch to deduce the number of roots of the equation 2* = x+2. (iii) Find each root, correct to 3 decimal places if appropriate.
16x2-y2 + 42. 16-0. Identify and sketch the surface EXAMPLE 7 Dividing by -16, we first put the equation into standard form: SOLUTION z2 16 4 Comparing this equation with equations of quadratic surfaces, we see that it represents a hyperboloid of two sheets the only difference being that in this case the axis of the hyperboloid is the y-axis The traces in the xy and yz-planes are the hyperbolas 16 and z2 =1 4 x=0. 16 The surface has...
2. Determine the area moment of inertia about the x and y axes. Use the parallel axis theorem. Show all work, including drawings to receive credit.
Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are plane of polarization parallel to the vertical refen with intensity 1: 13.0 units (arbitrary). Calculate the transmitted intensity 1, when θ1-25.0°, θ,-45.0°, and θ3-57.09, Hint: Make repeated use of Malus's law. units Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the...
Consider the 3-D conic section T+2 Rotate and translate the coordinate axes to write it in standard form. Hence determine the type of surface this describes. Consider the 3-D conic section T+2 Rotate and translate the coordinate axes to write it in standard form. Hence determine the type of surface this describes.
Consider the 3-D conic section T+2 Rotate and translate the coordinate axes to write it in standard form. Hence determine the type of surface this describes. Consider the 3-D conic section T+2 Rotate and translate the coordinate axes to write it in standard form. Hence determine the type of surface this describes.