What is drawn on a flat surface bounded by straight or curve lines? mensuration polygon plane figure geometric figure

Q: 6. Consider the circle (x - 2)2 + y² = 1. Sketch the surface obtained by rotating this circle about…

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Q: Find the lateral surface area of the pyramid.

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Q: Describe the level surface F(x, y, z) = 0.…

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Q: Use coins/ circular caps from mineral bottled water in making a circle; use ruler in making lines;…

A: We have to draw given conditions as instructed in question.

Q: estions: Determine the volume and the surface area of the solid obtained by rotating the plane area…

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Q: Sketch the surface z = f(x.y). f(x.y) = - /x² +y?

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Q: S* ds. x* + y+z*= x+y - Evaluate where S is the part of the sphere that lies above the cone

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Q: Find the surface area of the portion of the bowl z = 8+x² + y that lies below the plane z = 14.

A: Given, z=8+x2+y2 ,z=14 Now substitute z=14 into the given surface for finding the intersection of…

Q: ortion of the surface z = 3x + 20 that lies inside x^2 + y^2 = 4. Sketch the surface accurately.…

A: Introduction: The formula of the surface z=f(x,y), that lies inside the region R is given by,…

Q: Find the area of the surface obtained by rotating the curve.

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Q: A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one…

A: Given:     Length 14 cm     Width 7 cm     Height 1.66 cm     Lateral area = 2(length×height) +…

Q: Use appropriate software to sketch each of the following surfaces and identify it. State the name of…

A: Using Geogebra graphing software to plot these 3D graphs. All are shown in the below images.   i)…

Q: Each image shows a quadrilateral in a plane. The quadrilateral has been dilated using a center above…

A: Given the dilations and scale factors

Q: / Using Stokes theorom, evaluate : s [czx-y)dx-yz dy-yzdz3, uhere C is the Circle x+y=1,…

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Q: Plot the surface z = x+y with a finer mesh (of 0.25 units in each direction),using [x,y] = meshgrid…

A: MATLAB is a computer language that engineers and scientists use to study and build systems and…

Q: find the pricipal curvature, normal curvature,gaussian and mean curvature of the surface given below

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Q: Find the surface area of the portion of the sphere x2 + y2 + z2 = 25 inside the cylinder x2 + y2 =…

A: Recall:  The formula of surface area is S=∫∫S1+∂z∂x2+∂z∂y2 dA

Q: la) show that the necessary & sufficient condition VE constant to be constant gcodesic on EE, +FE,…

A: Geodesic Curve: Let A and B be two given points on a surfaces. Let these points be joined by curves…

Q: What cross-section cannot be formed by intersecting a plane with a right cylinder? Campbol OM…

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Q: The shaded band in the diagram is cut from a sphere of radius R. Show that the surface area of the…

A: The surface revolution about the y axis is given by, V=2π∫abfy1+dxdy2dy

Q: Rotating the ABCD trapezoid in the direction of the arrow so that the [B'C '] edge is perpendicular…

A: Finding the area of the shaded region

Q: 1. х2 +2? %3D у 2. 4x2 — 25у? —2? %3D 100

A: According to the given information, it is required to draw the given surfaces. For part (1)

Q: The surfaces ρ1 = 2, ρ2 = 5, φ1 = 100◦, φ2 = 130◦, z1 = 3, and z2 = 6 define a closed surface. Find…

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Q: 5b. Consider the cone with a vertical plan passing through the cone's apex. Describe the cross…

A: Cone

Q: Identify the surface whose equation isľ = 3 sec (0). O Circle O Hyperbolic Paraboloid O Cone Sphere…

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Q: The line segment x = p – y, 0 <y < p, is revolved about the y-axis to generate the cone as shown in…

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Q: Find the area of the surface by revolving the curve about each axis, sketch the curve, 1 x=-t³, y…

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Q: nts, in a line, or in a circle? sphere intersects the xz-plane ? sphere intersects the yz-plane ?

A: Introduction: If (a, b, c) is the sphere's center, r is the radius, and x, y, and z are the…

Q: Describe in words the region in R' represented by the equation y² + z² = 9. A ball A cyllinder A…

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Q: Describe in words the region in R' represented by the equation x² + y² + 2y + z² < 3 A plane. A…

A: The given equation is x2+y2+2y+z2≤3. We have to describe the given equation in words.

Q: Find the surface area for the portion of the hemisphere z =sqrt(4 − x^2 − y^2) that sits above the…

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Q: Check out this cube: Find the surface area of the cube (above) using its net (below). Do 4

A: *Area of square with side 'a' units = a2*Every face of cube is square

Q: Classify the surface: 2² = 3y? + z? sphere ( Elliptic paraboloid O cone Ellipsoid O Plane O

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Q: Find the area of the surface. The part of the sphere x2 + y2 + z² = 49 that lies above the plane z =…

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Q: Let C be the curve y 7x for 0 <r < 2.6. 120 108 96 84 72 60 48 36 24 12 0.5 1.5 2 2 Find the surface…

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Q: a) What is the area of trapezoid ABCD? b) The line passing through B and D intersects the y-axis at…

A: As per our guidelines we are allowed to answer first three sub-parts of a question, as you have…

Q: finding the lateral area, surface area and volume of a right circular cylinder with the given radius…

A: Given: radius of cylinder=3 in height of cylinder=6 in Formula Used: Lateral surface area= Surface…

Q: Classify the surface: 22 = 3y? + 22 %3D O Ellipsoid O cone O sphere O Elliptic paraboloid O Plane

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Q: The figure shows a plain slicing through a cone. The plane is neither parallel or perpendicular to…

A: Since the cut is neither parallel or perpendicular to the base of the cone. It is obvious that the…

Q: Describe in words the region in R° represented by the equation x? + y² + z² > 4 A A point R A…

A: The given equation is x2+y2+z2≥4. We have to describe the given equation in words.

Q: Find the exact surface area that is generated by revolving the portion of the curve v = x' between…

A: Area under the curve y=x3 on interval 1, 2:A=∫ab|fx|dx

Q: Find the surface area of a sphere of radius r

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Q: sphere x^(2)+y^(2)+z^(2)=25 is cut by plane y=3.  find the radius of the circle of intersection

A: Given               sphere x²+y²+z²=25 is cut by plane y=3.

Q: 1) What is drawn on a flat surface bounded by straight or curved lines? 2) What is a closed plane…

A: Topic :- Geometry

Q: Find the area of the surface for the portion of the sphere x+y² +z* = 225 inside the cylinder x+y…

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Q: find the surface area of a the cap that is cut from the sphere x 2 + y 2 + z 2 = 3 by the cone z…

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Q: (i) Sketch the surface of the plane. (ii) Evaluate 6. F. dr by Cusing Stoke's theorem.

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Q: Find the area of the surface. The portion of the sphere x2 + y² + z² = 625 inside the cylinder x2 +…

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Q: Scoliosis is a lateral curvature of the spine that can be detected when a grid is superimposed over…

A: We have to find the coordinates of the points given to us so, for that we will measure the distance…