What solid of rotation is created here if the axis of rotation is the y-axis? 12 -4 -2 2 -2 O prism O cylinder O hollow cylinder cone O sphere

Q: 1) A regular decagon is rotated n degrees about its center, carrying the decagon onto itself. The…

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Q: Show G(r,0) = (rcose, rsine, 1-r^2) parametrizes the paraboloid z=1-x^2-y^2. Afterwhich, descrbie…

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Q: F D' Point D is the Nof AABC because AF, BG, and CE are all centroid incenter Submit Answer…

A: We know that, The circumcenter of a triangle is the point where the perpendicular bisectors of the…

Q: 1. Point L is a centroid of the triangle FWD. If RL = 54 cm, what is RD? W R ) 81 cm 58 cm O 100 cm…

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Q: Match the two-dimensional figure and axis of rotation with the solid of rotation tha can be formed…

A: After rotation A become a cone. B become a cylinder. C become a sphere.

Q: How many tangent planes to the hyperboloid r-y?-2 1 are parallel to the plane z= r +y? %3D

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Q: %3D at

A: We need to substitute  x=au ,y = bv ,z= cw

Q: In the Euclidean plane with fixed cartesian system Oxy, let C be the conic defined by the equation…

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Q: 2(a) Explain centroid of a triangle and rectangle with sketch.

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Q: In the strip of rectangles shown below, a certain rigid motion applied to the leftmost rectangle…

A: The given pattern has vertical reflection symmetry since it would have two mirror images if we draw…

Q: A cube with a cylinder cut from its center is cut along the plane shown. Which of the following is…

A: In this figure cube is just coated outside the cylinder

Q: Which of the following is NOT a method for finding volume of solids of revolution? (A) shell method…

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Q: Show that the parabolas $r=c /(1+\cos \theta)$ and $r=d /(1-\cos \theta)$ intersect at right angles.

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Q: SF.dr where F Cxpy;Z)=y and C is the urve of intersection of yz=2 antd th 4he sylinder x?ayL with…

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Q: Consider a particle traveling clockwise on the elliptical path x² y? 225 = 1. 25 The particle leaves…

A: The elliptical path x2225+y225=1 at the point -12,3

Q: satellite dish is shaped like a paraboloid of revolution. The signals that emanate from the…

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Q: Which of the following shapes could tessellate a plane on their own?

A: We know that triangles, squares and hexagons are the only regular shapes which tessellate by…

Q: Look at the three-dimensional solid below. Which two-dimensional shape can be rotated to create this…

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Q: Sketch each of the following: . the solid E • the projection of E onto the xy-plane the projection…

A: answer is in next step.

Q: What solid figure is generated by rotating this shape about its bottom side? cylinder O sphere cone

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Q: Which rigid motion would mapAABC onto ADEC? A. B E O 180 degree rotation about the center of AABC

A: Step-by-step solution of the question given below....  Here we have to choose the rigid motion of…

Q: Q2: A cube of edge 24mm is resting on the top of a frustum of cone of base diameter 60mm and top…

A: We are asked to draw the isometric view of the solid.

Q: ellipsoid x* + + = 3 z2 n2 q2 r2

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Q: Find parametrizations The portion of the paraboloid z =-(x2 + y2)/2 above the plane z =-2

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Q: - Find the area of the ellipse which is parametrically expressed as =a cos o and y=b sin ø, and…

A: To find the area of the ellipse which is parametrically expressed by the below equations.…

Q: 15. What is the solid generated by rotating a right triangle about one of its legs as an axis? a)…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: A cube with a cylinder cut from Its center is cut along the plane shown below. Which of the…

A: When the cube with a cylinder cut from its center is cut along the plane as shown in the figure,

Q: H-w) find thi surf ace area for the Dlane 6x+44-22= 14 if this plane in the finst octant? S-A = |…

A: Surface area of the, in the xy-plane

Q: The upper half of the unit sphere x2+y2+z2=1 is z=Square root of 1-x2-y2. Find its centroid

A: Solution Given The intersection gives z2=1-x2+y2we need to find the centroid

Q: The classification of az дх2 дхду ду dz, dz O A. Elliptic B. None of these О С. Нурerbolic D.…

A: Answer and explanation is given below

Q: Here is a right triangle. Which solid results from rotating the triangle using the axis of rotation…

A: Given the figure is Right triangle

Q: The teciangle wi th. 2=6cm.and angle measures 3=45° And Y = 120° is ghven. and the Suurface arla of…

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Q: SORU1) ATA = AA" = I ise A matrisine ortogonal matris denir. A bir ortogonal matris olm %3D üzere,…

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Q: 4 du + 3, du -o is dassified as Jhe P.O E dx² © Hyperbotic Elliptic Parabolic there of

A: 4∂2u∂x2+3∂2u∂x∂y=0

Q: 5 Find a parametrization for the line segment joining the points (0, 2) and (4,0) using the angle in…

A: A parametrization for the line segment joining the points (0,2) and (4,0) using the angle θ in the…

Q: Parametrize the directed line parabolic segment y = x2 that joins 2 + 4i to −1 + i.

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Q: The tangent planes to the ellipsoid =1 meets %3D 62 the coordinate axes in points A, B and C. Prove…

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Q: When the shaded region is rotated around the y-axis, a horizontal strip of vertical span Ay creates…

A: We have to find the volume V of the solid obtained by rotating the region bounded by the given…

Q: find a parametrization for the curve. the lower half of the parabola x - 1 = y2

A: Consider the given equation x - 1 = y2 By adding 1 from both sides, ⇒ x = 1 + y2 Let, substitute y =…

Q: Which of the following is that orientation of the ellipsoid 3x + y? + 2z2 =1 %3D where the outside…

A: The given problem is to find the positive orientation of the given ellipsoid. Given ellipsoid…

Q: DESCRIPTIONS C. Cardioid, F. Rose with four petals, I. Inwardly spiraling spiral, L. Lemacon, M.…

A: To match each polar equation to the best description.

Q: rclockwise, that encloses disk R in the plane. neck Answer. 71

A: Given : F = <5x^6y, 8xy^2 + 4x^7>

Q: Use a graphing utility to graph the conic. 7x2 − 2√3xy + 5y2 = 18 Determine the angle 0° ≤ θ ≤ 90°…

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Q: In spherical coordinates, the surface p(p-2singcose)=0 is O .a. a sphere Ob. a cylinder C. a…

A: Putting the value of parameter of spherical coordinate into coordinate system, it give the equation…

Q: Find the centroid of the parabolic spandrel shown in the figure.

A: We have given a diagram of parabolic spandrel;

Q: The planes of the circles in which the particles move are to the axis of rotation. A) directed B)…

A: When rotate a rigid body , every particle of body moves in circle , which lies in a plane…

Q: a. Find a parametrization for the hyperboloid of one sheet x2 + y2 - z2 = 1 in terms of the angle u…

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Q: find the volu me of the o bócct Caused by the rotation oftne bouncled ared be twen y= aQ ,y=X…

A: Integrals and derivatives are considered as the inverses of each other. For example if we have a…

Q: The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but…

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