rmine the surface with the equation 2x^2 - 3y^2 - 4z^2 - 12x - 6у - 21 = 0

Q: Describe the surface whose equation is  2x2 - 3y2 - 4z2 - 12x - 6y - 21 = 0.

A: To describe the surface whose equation is 2x2 - 3y2 - 4z2 - 12x - 6y - 21 = 0.

Q: (6,6); parallel to 2x-5y=-7

A: Two lines are said to be parallel when they have the same slopes.Equation of a line in…

Q: Find the distance between the points (-4,-2) and (-3,0)

A: we have to find the distance between the points (-4,-2) and (-3,0)

Q: Describe the surface whose equation is 2.2+ 2y? + 2z2 - 3x- 5y+7z- 2 = 0.

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Q: Find a set of parametric equations of the line with the given characteristics.

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Q: Determine the surface with the equation 2x2-3y2-4z2-12x-6y-21=0

A: We have to determine the surface with the equation 2x2-3y2-4z2-12x-6y-21=0.

Q: Find the equation of the plane through (3, -1, 2), (4, 0, 2), and (5, 3, 1).

A: Vector equation of a plane passing through three points with position vectors a→, b→, c→ is…

Q: Find a plane through the points (-5,-1,5), (2,4,7), (7,5,-6)

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Q: The surface described by the equation 3x-+3y-+3z--8x+4z+38=0 is

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Q: Draw the front and right views of the solid below. Front Right

A: To draw front view and right view from given figure.

Q: Find an equation of the plane that passes through the points (2, 4, 1), (2,2, –4), and (-–3,5, 3).…

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Q: Verify that ду дх %3D дх ду

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Q: Find the equation of a line tangent to a circle whose equation is x2 + y2 – 4x - 21 = 0 at point…

A: Given equation of circle x2+y2-4x-21=0

Q: Find the equation for a quadratic with vertex at (-4, 4) and y-intercept at (0, 1) y =

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Q: Find the exact value of the distance between the line of intersection of the planes 2x-y+2z 6,…

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Q: Find the equation of a plane through the points (- 3, 2, 6), (– 8, 5, - 8), (4, – 4, – 1).

A: Given: Three points -3,2,6, -8,5,-8, 4,-4,-1

Q: There is a line through the origin that divides the region bounded by the parabola y and the x-axis…

A:

Q: Determine the equation of the plane determined by the points (1, 2, 3), (-8, 4, 6), and (3, 7, 9)

A: As we know the formula for finding equation of plane is given by    where (xA , yA , zA), (xB , yB ,…

Q: Find the equation of the plane through the points (0, 1, 1), (1, 0, 1), (1, 1, 0) Thank you.

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Q: Identify the surface асе

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Q: Find the plane that contains:  P1(-1,1,-2), P2(-2,2,4),P3(0,2,-2)

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Q: Find the midpoint between the coordinate points (1, - 4) and (4, 0).

A: We can solve the problem by the formula of obtaining midpoint.

Q: Find the midpoint between the pair of points. (3,0) and (-5,4)

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Q: There is a line through the origin that divides the region bounded by the parabola y = 5x into two…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Write the equation of the sphere centered at (5, – 2, 4) with radius 3.

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Q: find the points on the surface

A: Given, S: x2-y2+6z=0=fx,y,z where normal line to the surface is parallel to the line passing through…

Q: What are the coordinates of point of intersection of y=x+3 and y=3x-3?

A: Equating y = x+3 and, y = 3x-3, we get, x+3 = 3x-3 So, 2x = 6 So, x = 3

Q: Find the equation of the plane that passes through (2, 1, 1), (1, 4, 1) and (-2, 0, 4). Put the…

A: Given, The points 2,1,1, 1,4,1 and -2,0,4  We have to find the equation of the plane passing through…

Q: Find the equation of the sphere which passes through (2, 1, 3), (3, 2, 1), (1, –2, –3), (–1,1, 2).

A: Given that the sphere passes through the points (2,1,3), (3,2,1), (1,-2,-3), (-1,1,2).

Q: Plot the points (4, 2), (-5, 4), (-4, -3) and (6, -4) in the Cartesian plane.

A: Coordinates (x,y) represent 'x' units from origin in left or right direction depending upon the sign…

Q: Find a plane containing the point (-4,-7,3) and the line of intersection of the planes - 2x + 7y +…

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Q: There is a line through the origin that divides the region bounded by the parabola y = 5x – into two…

A: SOLUTION-

Q: What 3 dimensional shape will be created by spinning this rectangle or the indicated axis (the…

A: When we rotate a plane figure being it's triangle, suqare, rectangle or any other plane figure then…

Q: CISES parallelogram. 2. 0.3!

A: Given query is to find the area of the parallelogram.

Q: perpendicular to 5x - 9y = - 20 , through (5, - 5) ; standard form

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Q: Find the point on the surface fx,

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Q: Find an eguation of the sphere that passes through the point (5,-2,-1) whose whose Center is the…

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Q: find the distance between the points (-2,3) and (-4,1)

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Q: Find equations for the sphere whose center and radius is given in center(0,-7,0) radius 7

A: General equation of sphere is given by:

Q: Describe the relationship between the graphs of x2 + 4y2 + 9z2 = 100 and x2 + 4y2 + 9z2 + 54z = 19,…

A: Given graphs are x2+4y2+9z2=100 and x2+4y2+9z2+54z=19.

Q: Differentiate: y%3Darcsin Vx²+4

A: The solution of the problem is given in the next step.

Q: Find an equation of the plane through (0,5,0), (1,3, –2), and (-3, 4, 2).

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Q: Write an equation for a sphere centered at the point (4,7,2) with radius 5.

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Q: Write an equation for a sphere centered at the point (2,4,-5) with radius 5.

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Q: Find the equation of a plane that goes through the points (- 4, – 4, 0), (3, 5, – 4), (0, – 2, 1).

A: Given: The three points ( – 4, – 4, 0) , (3, 5 , – 4) and (0 , – 2 , 1).   To find: The equation of…

Q: Find the distance between line 3x + 4y = 10 and point (-2, -1/2)

A:

Q: You are at the point (3,2,3)(3,2,3), standing upright and facing the xzxz-plane. You walk 4 units…

A: Given: You are at the point (3, 2, 3 ), standing upright and facing the xz-plane. You walk 4 units…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.