Write the sphere equation x^2 + y^2 + z^2 + 2x - 2y -2z = 33 in standard form, and hence find the center and the radius of this spere.

Q: Find the spherical coordinates of the point with Cartesian coordinates (4, −4, 4√6)

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Q: b)lnscribe an ellipse in a parallelogram of sides 150 x 100 mm with an inclined angle of 120 ".

A: Let's find.

Q: Find the standard equation of the sphere with the given characteristi Center: (-1, -9, 7) Radius: 9…

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Q: What are the parametric equations for an ellipse centered at the origin with a major axis of length…

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Q: What is one benefit of using parametric equations instead of a Cartesian equation? Explain.

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Q: Write the equation of the sphere with centre at ( 0,0,0) and radius = 2

A: The center of the sphere is:(h, k, j)=(0, 0, 0)The radius of the sphere is:r=2

Q: Find an equation of the line in parametric form that passes through the vertex of the paraboloid…

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Q: What are the lengths of the major and minor axes of this ellipse 6 =D1? O Major Axis: 6 units, Minor…

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Q: Q4\ find a polar equation for the circle x² + (y - 3)² = 9

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Q: Find the center, length of major and minor axis for ellipse 4x +9y + 24x = 0 Hence, sketch the…

A: Solutions

Q: 6) Complete the square on the ellipse 1622 + 25y? – 32.x + 100y – 284 = 0 to write it in standard…

A: Completing the square on the ellipse 16x2+25y2-32x+100y=284 16x2-32x+25y2+100y=284…

Q: Write the equation of a sphere of radius 3 in all three coordinates--cartesian, cylindrical, and…

A: It is given that the radius of sphere is 3 .We have to find the equation of sphere in all three…

Q: Write equations in tbe given form for an ellipse centered at (3,4) with vertical axis of length 10…

A: The general equation of ellipse in rectangular form is :  x-h2a2+y-k2b2=1 . Note the below result…

Q: Part a) Convert the equation z = 3x2 + 3y2 to spherical coordinates. Part b) Describe in plain…

A: Given equation z=3x2+3y2

Q: Put the quadric surface equation 4X (-8y + 4Z+39 = 0 into one of the standard forms, specify the…

A: The given quadric surface equation is           4x2+y2-z2-24x-8y+4z+39=0 Write the like terms…

Q: 1. Write the polar equation foreach conic. Explain your choices. Ellipse Hyperbola Parabola

A: If you have any questions let me know in comment box thankyou.

Q: an ellipse in a rhombus of 50mm side and 120degrees included angle using 4 center m

A: Given data: Side length of rhombus= 50 mm Included angle of the rhombus= 120° The 4 centers or…

Q: Find polar coordinates (r,\theta ) of the point in rectangular form given by

A: Topic:- polar coordinates