The diagram shows a cone and its axis of rotation. Which type of cross section is formed when the cone is intersected by a plane containing the axis of rotation? OA OB. an isosceles triangle OC. a parabola O D. an oval a circle

Q: What are the coordinates of the image of trapezoid ABCD after a 90° rotation about the origin?

A: The image of the trapezoid ABCD after 90˚ rotation about the origin :

Q: the plane curve described by the parametric equations x=cost and y=3sint has a counter-clockwise…

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Q: Explain the process of sketching a plane curve given by parametric equations. What is meant by the…

A: The objective is to explain the process of sketching a plane curve given by parametric equations.

Q: Find the distance between the skew lines with parametric equations x = 1 + t, y = 2 + 6t, z = 2t,…

A: The distance from a point P(x1,y1,z1) to a plane  is

Q: Can two horizontal planes intersect?

A: Explanation: If two planes are horizontal, it means both are parallel to the x-axis.

Q: Draw a two-dimensional figure that could be rotated using a vertical axis of rotation to give the…

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Q: 3. Find a rectangular equation to represent the plane curve. x = 3 tant, y = 2 sect for tin (-7-7)

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Q: Explain how to tell when two planes are perpendicular.

A: Consider two planes. A1x+B1y+C1z=D1 and A2x+B2y+C2z=D2. Here A1,A2,B1,B2,C1 and C2 are direction…

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: Let t represent the time starts on the x-axis.

A: Radius r=52 metersone lap in 20 s.

Q: What is the focal width and the Axis of symmetry? Given that Focus= (2,3) and Directrix=7

A: For the Parabola, given that focus is (2, 3) and directrix is x=7.

Q: Karla is running along a circular race track that has a radius 3.3 km long. She starts at the…

A: O : Center of the park A : Karla's starting point B : The point where Karla passes Gabriel C : The…

Q: The coordinates of quadrilateral ABCD are as follows: A = (3,0), B = (7,1), C = (6,-4), and D=…

A: Given dataThe coordinates of quadrilateral ABCD are,

Q: Find the Cartesian equation for the circle defined by the parametric equations x=1+2cost and…

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Q: (9) Start by copying the four Cartesian Planes onto your paper. y y (a) Then separately draw each…

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Q: a boat travels towards the northeast at 23 knots and there is an 8 knot crosswind out of the…

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Q: Do three points determine a plane?

A: We know by following ways plane can be determined: 1. Three non collinear points determine the…

Q: Find a parametric description for the top half of the unit circle, oriented clockwise.

A: Given that, the top half of the unit circle is considered. The standard equation of a unit circle…