2. Does the equation x² + y² + z²-3x - y + 3z = 0 represent a sphere? If so, find the center and the radius of the sphere. Answers must be given exactly as fractions or radicals. That is, no decimals or decimal approximations.

Q: 5. Let f(x) = sin x cos x a) Determine the first derivative, and the second derivative. b) What is…

A: fx=sinxcosx

Q: Find the area of a regular pentagon inscribed in a circle whose equation is given by…

A: Now, we can use the formula for the area of a regular pentagon: Area=25​×sidelength×apothem…

Q: find the vertex (coordinates), ro ercept, and sketch a graph of th cal format/reduced fractional for

A: Definition:  A parabola is a curve where any point is at an equal distance from: a fixed point (the…

Q: Use the information provided to write the standard form equation of a circle. Center: (12, 14)…

A: A circle is a locus of points which are equidistant from a fixed point. This fixed point is called…

Q: 3) y 2r 4) y=x-4x +3

A:

Q: Find the center and the radius of the circle with the equation x2 + 10 x + y² + 8 y – 128 = 0 Enter…

A: Given : x2+10x+y2+8y-128 = 0

Q: Recall that an equation of a circle can be written in standard form (x-h)² + (y-k)² = r, where (h,…

A:

Q: A circle is given with the equation x2+y2−8x+6y+19=0. What is the equation of the circle in standard…

A:

Q: i say the equation of a circle with a radius of 12 and a center at (5,−9) is (x−5)2−(y+9)2=12. What…

A: Here our objective is to find the correct equation for the circle

Q: 4. Consider the Cubic Equation: x³ +3x² = 8x +30 a. Reduce the cubic equation through a change of…

A: The given cubic equation x3+3x2=8x+30 can be rearranged to the standard form as: x3+3x2-8x-30=0 A…

Q: Rewrite the circle 3x2+3y2-6x=0 in (x-h)2+(y-k)2 form. State the center of the circle and its…

A:

Q: 17. The equation (x - 5)² + (y + 2)² = 49 models the position and range of the source of a radio…

A: We have to solve given Questions

Q: Recall that an equation of a circle can be written in the form (x − h)2 +(y − k)2 = r2, where (h, k)…

A:

Q: An historic, parabolic arch which provides a walkway under a building can be modeled by the 36…

A: