Consider the following equation of a quadric surface. Question list K 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. Question 3 9 + 100z - 25 = 0 Question 4 a. Find the x-intercept(s), when they exist. Select the correct choice below and, if necessary, fill in the answer box within your choice Question 5 O A. The x-intercept(s) is/are (Simplify your answer, including any radicals. Use a comma to separate answers as needed. Type an integer or a Question 6 fraction.) O B. There are no x-intercepts. Incomplete n 7Consider the following equation of a quadric surface. Question list K 2=x2+169y a. Find the intercepts with the three coordinate axes, if they exist. Question 1 b. Find the equations of the xy-, xz-, and yz-traces, if they exist. c. Sketch a graph of the surface. . . . X Question 2 O B. There are no z-intercepts. Question 3 b. Find the equation of the xy-trace, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O Question 4 O A. The trace is not a single point. The equation of the xy-trace is (Type an equation.) O B. The trace is the single point Question 5 O C. There is no xy-trace Incomplete Question 6Identify the surface defined by the following equation. Question list K x2 + 2+822 +14x=-48 O Question 5 Select the correct choice below and fill in the answer boxes to complete your choice. Question 6 O A. The surface defined by the equation is an elliptic cone centered at and whose traces in the xy-plane are ellipses. O B. The surface defined by the equation is an ellipsoid centered at that has length in the x-direction, Question 7 in the y-direction, and in the z-direction. O C. The surface defined by the equation is a hyperboloid of one sheet centered at and is centered around Question 8 the z-axis. In the xy-plane, the trace has length in the x-direction and length in the y-direction. O D. The surface defined by the equation is a hyperboloid of two sheets centered at and whose traces in the xy-plane are ellipses. The shortest distance between the two sheets is IncompleteConsider the following equation of a quadric surface Question list K x 25 225 Question 1 a. Find the intercepts with the three coordinate axes, if they exist. b. Find the equations of the xy-, xz-, and yz-traces, if they exist. c. Sketch a graph of the surface. x Question 2 a. Find the x-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete Question 3 your choice. O A. The x-intercept(s) is/are located at x = Question 4 (Use a comma to separate answers as needed.) O B. There are no x-intercepts. O Question 5 Incomplete Question 6Identify the surface defined by the following equation. Question list K + 6x - 10y = 35 Question 6 Select the correct choice below and fill in the answer boxes to complete your choice. Question 7 O A. The surface defined by the equation is an elliptic cone centered at and whose traces in the xy-plane are ellipses. Question 8 O B. 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. Media 1 O C. The surface defined by the equation is a hyperboloid of two sheets centered at and whose traces in the xy-plane are ellipses. The shortest distance between the two sheets is Media 2 O D. The surface defined by the equation is an ellipsoid centered at that has length in the x-direction, Incomplete in the y-direction, and in the z-direction. Media 3Consider the following equation of a hyperbolic paraboloid. Complete parts a. through c. below. Question list K 3x - 3 O Question 4 O Question 5 a. Find the intercept(s) with the three coordinate axes, when they exist. O A. The intercepts with the coordinate axes are (0, + 3,0) and (0.0. + 19 ) Question 6 O B. The intercepts with the coordinate axes are (0,3,0) and (0,0,9) O C. The intercepts with the coordinate axes are (3,0.0), (0,3,0), and (0,0,27). O D. The intercept with the coordinate axes is (0,0,0). Question 7 O E. There are no intercepts with the coordinate axes Question 8 Incomplete O Media 1