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: Find an equation of a plane making an angle of π/2 with the plane 3x + y − 4z = 2

A: Here we have to find the equation of plane  making an angle of π/2 with the plane 3x + y − 4z = 2

Q: Explain why in spherical coordinates the graph of = c is a half-plane and not an entire plane.

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Q: A plane is heading due East with a ground speed of 398 mph. A 50-mph wind blowing at a bearing of 48…

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

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Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

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Q: 2. Consider the triangle with vertices at A = (0,0), B = (-6, –9), and C = (-15,0). (a) Find the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: What point on the sphere is closest to the plane?

A: The given problem is to find the point on sphere which is closest to the given plane. Given sphere…

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: A glass sphere given by the equation (x-1)²+(y-2)²+(-3)² = 36 is floating above the plane 2x + y -…

A: The given problem is to find the point on given sphere is farthest from the given plane. Given…

Q: 9. A trapezoid has been rotated 90° clockwise about the origin. Is it true that the y-coordinates of…

A: When a point (a,b) is rotated 90° clockwise about the origin its new co-ordinate becomes (b,-a)

Q: To which coordinate plane is the plane y = 1 parallel?

A: y=1

Q: Determine parametric equations of the line of intersection of the planes x+2y+3z=4 and -2x+z=0. Then…

A: Let us consider two planes ax+by+cz+d=0 and a'x+b'y+c'z+d'=0  Intersection of two planes is line…

Q: Consider the plane with equation x + 2y + 2z - 60. Determine the point on the plane that is closest…

A: The given plane is,Compare this equation with So here we have,

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: For each surface (u, v), identify the shape of the grid curves when v is constant. Some shapes may…

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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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