A) In what foints of the Gmplex plane area or is the funcion fcz)= xysiy derived ? B) Findthe function Vea Such that the Complex function frx)ar(1-y)+iv(ary) is intier in other pic explaneed.

Q: find a parametrization of the surface. The cap cut from the sphere x2 + y2 + z2 = 9 by the cone z =…

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Q: 5a. Consider the right square pyramid with a horizontal plane intersecting the pyramid halfway up…

A: The horizontal plane will be parallel to the base of the pyramid.

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

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Q: Find the area of the cap cut from the sphere x2 + y2 + z2 = 2 by the cone z = sqrt(x2 + y2).

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Q: 3. Prove that a flat surface of revolution is part of a plane, cone, or cylinder.

A: prove that a flat surface of revolution is part of plane or cone or cylinder. solution a flat…

Q: Classify the quadric surface. 22 = x² + y? + 1 81 ellipsoid elliptic cone ollintio naraboloid

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Q: Draw an obtuse triangle and, by construction, find the centroid of the triangle. (HINT: Begin by…

A: To get an obtuse triangle, draw a triangle with one of its interior angle should be greater than…

Q: The volume of the pyramid formed in the first octant by the plane 6x + 10y + 5z-30 = 0 is: О 45 О зо…

A: We can solve as follows

Q: Consider the area of the part of the plane z=ax+by+c that projects onto some region D in the…

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Q: 2. Use a parametrization to express the area of the given surface as a double integral and then…

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Q: Find the volumes of the solids generated by revolving the triangle with vertices (2,2), (2,7), and…

A: Given data: *The vertices of the triangle is (2,2), (2,7) and (4,7) From the coordinates of the…

Q: Find the volumes of the regions. The wedge cut from the cylinder x2 + y2 = 1 by the planes z = -y…

A: Given Data The equation of a cylinder is x2+y2=1. z=-yz=0   Determine the interval of x and y,…

Q: Show that the centroid of a solid right circular cone is one-fourth of the way from the base to the…

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Q: ? Find the surface area of the plane ( 15x-5z+20y%3D35) if it is in the first octant

A: Here we have to find the surface area of the plane 15x-5z+20y=35 ................... (1) for the…

Q: Find the volume of a parallelepiped whose edges are ä = 7i+5j-k, 6-j+4k and e= 4i-3j+6k %3D

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Q: Find the area of the portion of the surface z = 8x+4y that lies above the triangular region with…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u = 4i…

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Q: 18. Find the surface area of the sphere with radlus 5 by dou- bling the surface area of (x, y)…

A: Given: f(x,y)=25-x2-y2 is the surface bounded by the circle x2+y2=25 where radius, r=5

Q: Let z be a complex mumber , f() b any funcion, and c be contour any then to f B(Z)dZ?

A: Let z be a complex number, f(z) be any function and c be any contour.     A contour is a type of…

Q: A solid lies above the cone z = V x² + y2 and below the sphere x2 + y2 + z2 = z. Write a description…

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Q: find fvelume of Solid f in the octant that is below porabalord そこ16-メ-9 planes X:0,9:0I and Z=0. and…

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Q: vo ume of the solid in the litoctanit bounded by the plan 2x+3u +62=12

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Q: Find the volume of the prism whase base is the triangle in te Xy-plane bonnded by the X-axis and the…

A: To find- Find the volume of the prism whose base is the triangle in the xy-plane bounded by the…

Q: Find the area of the surface of the part of the plane 3x + 2u + z = 6 that lies in the first octant.

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Q: Find the area of the portion, for which z > , of the sphere in R with radius v3 centered at the…

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Q: Find the Largest open rectangle in the plane in which the hypotheses of Existence and uniqueness…

A: Answer

Q: show that the. fallowing Complex functron is dis continuous at z=? 121 1 fCZ) = スー! %3D 3. %3D

A: Topic:- limit and continuity

Q: The volume of the solid that lies above the cone θ=π4 and below the sphere r=cos(θ) is: (Here,…

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Q: Find the surface area of the part of the plane 7+ 2x + 5y that lies above the rectangle [1, 4] x [0,…

A: Given that  Z=7+2x+5y To find the area of the surface of the plane that lies above the rectangle

Q: Let C be the cubic region delimited by the coordinate planes and by the planes x = 2 y=2 and z=2 in…

A: the planes x = 2 y=2 and z=2 in the first octant.

Q: Must the centroid of an isosceles triangle lie on the altitude to the base?

A: The centroid of an isosceles triangle lie on the altitude.

Q: Let C be an ellipse in a horizonal plane lying above the xy-plane. Which type of quadric surface is…

A: Given, Let C be an ellipse in a horizontal plane lying above the xy-plane.

Q: Use triple iutegral in reitanqular coordinates +to tindd te nass of. sphere with den a ensing S こス…

A: mass = density * volumem        = massδ         = densityV        =…

Q: Consider the plane region bounded by the graphs of y = k, y = 0, x = 0, and x = b, where k > 0…

A: Given: The plane region is bounded by the graphs given as follows, The plane is drawn for the given…

Q: Find a parametrization for the portion of the sphere x2 +y2 + z2 - 16 between the planes z =- 2/2…

A: we have been given a sphere x2+y2+z2=16 between the planes z=-22 and z=2

Q: Find the volume of the Intersection curve C C Projection of C on ay-plane

A: Given: Given paraboloids are z=x2+y2 and z=8-x2-y2 We want to find the volume bounded by the…

Q: Sketch or describe the surfaces in R³ determined by the equa- tions in Exercises 40–46. z = y? + 2

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Q: Find the volumes of the solids generated by revolving the triangle with vertices (2,2), (2,7), and…

A: Using washer method

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u = 3i…

A:

Q: Find the area of on of the triangle that can drawn between the planes 3x – 6y – 2z = 15 and 2r + y -…

A: The equations of the two planes are: 3x-6y-2z=152x+y-2z=5 As, 5,0,0 satisfies the equation of plane…

Q: (b) Prove the volume of a parallelepiped with a vertex at the origin and edges ü,v, and w is given…

A: In the question we have to prove the formula.

Q: 13- Find the volume V of tetrahedron bounded by the coordinates planes and the plane z = 6 - 2x + 3y

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 7. Find the area of the portion of the plane z = 2 y that lies directly above the circle x+(y-1) =1…

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Q: 1)calculate where D is a flat domain bounded by the two circles with the center at the origin, of…

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Q: Find the isogonal trgedories of x*+y² = r² at 45°, Colculate the isogonal trgjectories of y-ce at .…

A: Givenx2+y2=r2

Q: A solid dome is to be constructed with the ellipse x^2 + 3y^2 = 6 as a base. Using infinitely main…

A: This problem is related to conic section.

Q: 1 %3D 12 27

A: