Consider the equation below. 4x2 + y2 + 4z2 − 4y − 32z + 64 = 0 Reduce the equation to one of the standard forms. and answer 2nd part
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Reduce the equation to one of the standard forms.
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- Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) y = 3z2 − 3x2 (Write an equation for the cross section at z = −1 using x and y.) (Write an equation for the cross section at z = 0 using x and y.) (Write an equation for the cross section at z = 1 using x and y.) (Write an equation for the cross section at y = −1 using x and z.) (Write an equation for the cross section at y = 0 using x and z.) (Write an equation for the cross section at y = 1 using x and z.) (Write an equation for the cross section at x = −1 using y and z.) (Write an equation for the cross section at x = 0 using y and z.) (Write an equation for the cross section at x = 1 using y and z.)explain the geometric relationship between the answer found in part b and the surface defined aboveFind the area of the surface of revolution generated when the given curve is revolved about the indicated axis. Sketch the graph and Show complete solutions
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