Question

Score: 0 of 3 pts 33 of 37 (30 complete) 13.6.33 Consider the following equation of a quadric surface. x2 2 2 256 256 256 a. Find the intercepts with the three coordinate axes. If they exist. b. Find the equations of the xy-, x2, and yz-traces, if they exist c. Sketch a graph of the surface. a. Find the x-intercepts, if they exist. Select the correct choice below and, if necessary, fil in the answer box to complete your choice. A. The x-intercept(s) is/are located atx (Use a comma to separate answers as needed.) OB. There are no x-intercepts Click to select and ever your answer and then click Check Answer CA parts

Answer 1

+ x2 + y2 - 22 = 256 (a) with x-axis: y=0,2=0=x = 256x=-16,16 the x-intercepts are located at x=16, x=-16 with y-axis x=0,2 =0= y2 = 256=y=-16,16 the y-intercepts are located at y = 16, y=-16 with z-axis y=0),x=0=-z = 256=x=-16,16 there is no z-intercepts. (b) equation of xy trace. z=0=x2 + y2 = 256 equation of ny trace is x2 + y2 = 256 equation of yz trace. x=0=2 - za = 256 equation of xz trace. y=0=x2-22 = 256

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