8) Write a set of parametric equations for the circle with a diameter that has endpoints (5, 4) and (-2, 7).

Q: Find a set of parametric equations for the conic section or the line. Circle: Center:(5,3); Radius:2

A:

Q: If the rectangular coordinates of a point are (4,-6) the point symmetric to it with respect to the…

A:

Q: Find a parametric representation of a straight line through (1,1,1) and (4,0,2), and sketch it.

A:

Q: 4. Write parametric and symmetric equation of the line passing through the point (-3, 5, 4) in…

A:

Q: What is the example formula equation for 3d satellite (elliptic paraboloid)

A: To find: Formula equation for 3D satellite(elliptic paraboloid).

Q: 7. Center: (5, 9); Point on Circle: (7, 8) Standard Form:

A:

Q: Find the parametric equation for a line through (5,-1,1) which is perpendicular to the line segment…

A:

Q: Find a set of parametric equations for the parabola whose equation is y = 9 - x2.

A: Given equation is, y=9-x2

Q: Find parametric equations to represent the line segment from (-2, 7) to (3, -1).

A: on solving this we get

Q: Find the parametric equation of the lines passing through (4, -2, 5) and (-3, 0, 6)?

A: Consider the two given points (4,-2,5) and (-3,0,6). The objective of the problem is to find the…

Q: What is the center (in rectangular coordinates) of the circler= -3 sin 0 ? (0, - ) 3 0, O (0, v3)…

A: The given circle, r=-3 sin θ

Q: Determine the vertical traces of elliptic and parabolic cylinders in standard form.

A: Firstly the trace of a surface which is actually a cross section or the curves of intersection of a…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -5, 3) Radius:…

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 5) Radius:…

A: We are given: Centre: (-1, -3, 5)Radius: 7 We need to find the standard equation for the sphere with…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -4, 4) Radius:…

A:

Q: Find parametric equations for the line segment joining the points (-7, 6) and (5, 3). x=-7+12t, y…

A:

Q: Choose the parametric equations that represent the line segment that goes through the points (1,4,…

A: Given points x0,y0,z0=(1,4,-5) and x1y1,z1=(2,2,-1)

Q: Find the parametric equations for the line segment from (5,-1,1) to (5,4,3)

A: The given points are 5, -1, 1 and 5, 4, 3. The parametric equation of a line segment joining the…

Q: Find the standard equation of the sphere that has the points (5, −2, 3) and                  (0, 4,…

A: we know that equation of sphere which has end points of diameter as x1,y1,z1 and x2,y2,z2 is given…

Q: Determine the parametric and symmetric equation of line passing through the points (1, –3,2), (5,…

A: To find the parametric and symmetric equation of line passing through the points (1,-3,2) ,(5,-2,8)…

Q: Point Q of quadrilateral QRST Is (-9,2). What Is the image of Q after QRST has been reflected across…

A:

Q: Identify and sketch the quadric -- = 0 3 2 3 surface z 2

A: For the solution of the problem follow the next step.

Q: Exercise 2. Find a formula for the curve which is traced by the motion of a fixed point on a wheel…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 9) Radius:…

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Q: Give the parametric equation of the line that passes through the point (−4, 3, −5) and is…

A:

Q: Find a parametric representation of a straight line through (1,1,1) and (4,0,2), and sketch it using…

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 8) Radius:…

A:

Q: State whether the given equation defines an elliptic paraboloid, a hyperbolic paraboloid, or an…

A:

Q: Give parametric equations that generate the line with slope -2 passing through (1, 3).

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find parametric equations for the lines in The line through P(-2, 0, 3) and Q(3, 5, -2)

A: To find the parametric equation for PQ

Q: Use the result in Exercise 24 to find the equation of the circle that has center (0, 0) and contains…

A: Given Center coordinates of circle =0,0 Point passes through circle=3,4

Q: Use the result in Exercise 26 to find the equation of the circle that has center (0, 0) and contains…

A: Given Center of circle is at (0,0)   and contains point (3,4)   To evaluate, equation of circle

Q: What are the parametric equations for the line segment from (3,2) to (-10,5)?

A: To determine the parametric equation of a line segment.

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 9) Radius:…

A:

Q: Find the standard equation of the sphere with the given characteristics - Center: (3, −2, 6);…

A: We have to find the standard equation of the sphere where, center is given as 3, -2, 6 and radius is…

Q: Find parametric equations for the line in which the planes 3x - 6y -2z = 15 and 2x + y - 2z = 5…

A: Equation of plane - 1,3x-6y-2z = 15 Normal vector of plane 1 = n1 = 3,-6,-2…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 3) Radius:…

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 4) Radius:…

A:

Q: Find parametric equations for the line that passes through the point  (5, 2) and is parallel to the…

A: we have to find parametric equations for the line that passes through the point  (5, 2) and is…

Q: Find the parametric and symmetric equations for a line that passed through the points (2,0,8) and…

A: Representing the points as the points vectors we get,  2,0,8 and -2,6,4 The direction numbers are…

Q: Find parametric equations for the lines in The line through (1, 1, 1) parallel to the z-axis

A: Given: 1,1,1 parallel to z-axis

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -8, 8) Radius:…

A: Let's find.

Q: Determine the parametric and symmetric equations for the line through the given points (2, –7,5),…

A:

Q: Find parametric equations for the lines in The line through the point (3, -2, 1) parallel to the…

A:

Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)

A: The line through the points (2,8,3) and (11,20,21)

Q: Find parametric equations of the line passing through (3, −1, −3) and perpendicular to the line…

A: The required line is passing through the point 3,-1,-3 and is perpendicular to 3,-2,4 and 0,3,5.…

Q: Discuss one of the important theorems in hyperbolic geometry for understanding.

A: Hyperbolic geometry, is the geometry that can be used by using all the postulate of Euclid accept…

Q: Does the point (3,4) lie inside, outside or on the circle centered at the origin with a radius of 5?

A: Given query is to find that point (3,4) is on the circle.