Consider the following equation of a quadric surface. x=4-4y²-z² 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. a. Find the x-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The x-intercept(s) is/are located at x = (Use a comma to separate answers as needed.) B. There is no x-intercept.

Q: Write the standard form of the equation of the circle given x2 - 6x + y2 + 8y + 12 = 36

A: To rewrite the given equation to the standard equation of the circle (x-a)^2+(y-b)^2 =r^2, center…

Q: Write the standard form of the equation of the circle with the given center and radius. (10, 0); 2

A: Given center (h,k)=(10, 0)  radius, r= 2

Q: Find the equation of a circle whose center is at (4,2) and tangent to the circle x² + y? – 8x – 6y+…

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Q: Write the standard equation for the circle. center (10, -6), r = 6 O a 2 (x + 10) + (y - 6) = 6 O b…

A: The standard form of the circle with center (h,k) and radius r is given by: (x-h)2+(y-k)2=r2

Q: Find the standard form of the equation of the circle with a diameter having two points (1, -6) & (7,…

A: The end points of diameter of the circle are (1,-6)  and (7,2). The standard form of equation of…

Q: 1. A circle has a general equation 3x² + 3y² - 2x +y-5=0. Convert into standard equation. 2.Find…

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Q: Write the standard equation for the circle whose center is at (8,9) and whose radius is 4.

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