Consider the parallelepiped with adjacent edges u = 7i + 7j + k v = i+j+ 3k w = i+ 7j + 5k Find the volume. V = i

Q: 5. Evaluate ff ex²dA where R is the triangular region bounded by y = 2x, y = 0, and R x = 2.

A: We need to evaluate the given double integral ∬ex2dA over R. Where R is triangular region bounded by…

Q: Find the volume of the wedge cut from the first octant by the cylinder z = 63 - 7y and the plane x+…

A: The Volume of the solid , V=∫x1x2∫y1y2∫z1z2  f(x,y,z) dz dy dx

Q: Consider the parallelepiped with adjacent edges u = 8i + 4j + k v = i+j+9k w = i+ 9j + 4k Find the…

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Q: Use the Theorem of Pappus to find the volume of the given solid. the solid obtained by rotating the…

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Q: Find the surface area in r(r,0)=(rcos)i + (rsin0) j+0k, 0≤0≤2ñ, 0≤r≤1. the accompanying (1, 0, 2)…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Use the Theorem of Pappus to find the exact volume of a general cone c with vertices (0, 0), (3, 0),…

A: Step:-1 Pappu's Theorem:- According to this theorem, the Volume V of a solid of revolution generated…

Q: Ex9: A solid has its base, R, formed by y = 5x - x² and y = x in the xy-plane. Find the volume of…

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Q: Find the volume of a sphere. Use cylindrical coordinates. Find the volume of a circular cone.

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Q: 3. Find the volume of the tetrahedron bounded by the planes x = 0, y = 0, z = 0 and x + %3D y + 2z =…

A: Will use the triple integration to find the volume of the tetrahedron which is bounded by the given…

Q: Use a scalar triple product to find the volume of the parallelepiped that has u, v, and w as…

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Q: z2 = 9 and outside the cylinder x? + y? = 1.

A: coordinates, x=r cos θy=r sin θz=2 x2+y2=r2cos2θ+sin2θ=r2x2+y2+z2=9r2+z2=9⇒z=±9-r2 x2+y2=r2⇒r=2

Q: Find the volume enclosed by the cy linder (x-1) ty²=1 and the sphere x² +y²7z²=L4.

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Q: find the volumes of the solids generated byrevolving the regions about the given axes. If you think…

A: Consider the following graph:

Q: る 4 z = 4 - x - y 1 2 y = x y = 2 3. 2.

A: Here we have to use the concept of double integral to find the volume of the given figure

Q: Find the area of ​​the plane x + y + z = 6 in cylinder X² + y² = 4

A: According to the given information, it is required to find the area of the plane in the cylinder.

Q: = Is the region R bounded by the lines x = 0, y = x, x = 3 and y = 2x a polyhedron? If yes, write…

A: To specify the region R as a polyhedron, we can write it as the intersection of the half-spaces…

Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

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Q: Find the volume of the parallelepiped with the sides ü = (3,1,2), v =(4,5,1), w=(1,2,4). %|

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Q: Find the volume of the solid in the first octant by bounded by the plane 3x +42 = 12, y = 2 and the…

A: Volume bounded by thefirst octent

Q: Find the volume

A: We have to find the volume from the given region

Q: The base of solid is given by 9x² +4y = 36 on the xy-plane. The cross section is a square that is…

A: Let A(x) denote the cross-section area in a plane perpendicular to the x-axis, where a≤x≤b. Then,…

Q: 16 : = 16 – x² – y? 2 y = 4x – 2 y = 2Vx

A: The figure given is the wedgelike solid. It is bounded by the surfaces z= 16-x2-y2,  the curve y=2x…

Q: V 12 Find the volume of the pentagonal pyramid. 8 Volume = 91 L_5

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Q: A triangle with vertices of (0,0), (0,6) and (5,0) is plotted on the coordinate plane. The triangle…

A: Given  vertices of triangle are (0,0), (0,6) and (5,0).