ATWX is isosceles, with base WX RY | WX RWXY is an isosceles trapezoid Given: Prove:

Q: In AMNP, T is the centroid. If MR=30 find MT. N R T M S

A: We are given that T is the centroid and MR=30. We know that the centroid divides each median in a…

Q: Ewaluate by the planes x=0,y=0, t:0, for

A: Given - E is bounded by the planes x = 0, y = 0, z = 0 , y + z = 1 and x + z = 1 To find - Evaluate…

Q: Use the Stoke's therorem to evaluate F. dr, where F = xzi - yj + z²yk and o is open surface of the…

A: We  have  to evaluate ,Where +Then, Curl+Now, Then, let

Q: Calculate | [(ydx – xdy)] wherein y(t) (2cos(t), 2sin(t)),0 < t < 27, is an circum ference that…

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Q: The diagonals of an isosceles trapezoid ABΓΔ (ΑΒ // ΓΔ) intersect at O. If E, Z, H, Θ are the means…

A: Given an isosceles trapezoid ABΓ∆ . Its diagonals intersect at O. Given that the mid - points of OA…

Q: Find T, N and k for the spacecurves:

A: We have to find Unit Tangent Vector T,  Unit Normal Vector N and Curvature K for given space curve…

Q: Calculate , z² dS if S is the prism whose base is the triangle in the limited xy plane by the x axis…

A: Here given figure is Since prism has 5 surfaces (1)-OAB (2) OADE (3) CDE (4) OBCD (5) ABCE

Q: Find T, N and k for the spacecurves: r(t)=t(i)+(a cosh(t/a))j, a<0

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Q: what is 98.8=98

A: We are given the statement "98.8=98". We know that 98.8 is not equal to 98.

Q: Find Ix, Iy, Io, x, and for the lamina bounded by the graphs of the equations. y = √√x, y = 0, x =…

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Q: (b) Let the distance between two adjacent planes parallel to the plane (hkf) in the direct lattice…

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Q: SSg z(x² + y²)do where S is the portion of the sphere x2 + y2 + z2 = 9 in the first octant that is…

A: Surface integral of a function f(x,y,z) Along the surface S given by z= g(x,y)…

Q: IF F= 3yI - Xy I+ 9ZK and s is the Surface of the Pasabolied 2X =x2 fy Bounded By Evaluate %3D I=2…

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Q: Consider the sphere x² + y² + z² = 36 and the cylinder (x-3)2 + y² = 9, for z 20. Find the surface…

A: The given problem is to find the surface area of cylinder inside the sphere. Given sphere x2+y2+z2 =…

Q: (Q.)AUSE T.cx)-1 ad Tilx)= X, t fnd TECK) nd 万(x) (b) Find the raats of Ti(K) nd Tiw using the…

A: a) Given that, T0x=1 and T1x=x. Note that, the powers of x as function of Tnx for x2=12T0+T2 and…

Q: tle dettes enti al equation a 9y + Çt 99 +12y =0 dz oaly independent colution Of tle foam y= x"

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Q: Let S be the torus parametrized by G(e,p) ((a bcos(p)) cos(0), (a +bcos(p)) sin(0), bsin(p)) for θ,…

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Q: (a) Let r = where C is the unit circle oriented counterclockwise, and Vr2 + y?. Calculate fF Tds…

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Q: Let C be circle of radius 1 centered at the origin, oriented counterclockwise. Determine (z)2 dz.

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Q: E) If F(x, y, z) = 3x²i + 3zj-3xk

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Q: Given: XZ is al bisector of WY Prove: AWYZ is isosceles.

A: Given,  A ∆WYZ with perpendicular bisector of WY  is   XZ.  We have to prove  ∆WYZ is isosceles.

Q: Use spherical coordinates. Evaluate SSS √x² + y² + z² dv, where E lies above the cone z = √x² +1 and…

A: The equation of the cone is z=x2+y2. The equations of the sphere are x2+y2+z2=1 and x2+y2+z2=4. We…

Q: Consider a sphere E with center at the origin and radius equal to 1, following the Beltrami-Klein…

A: Substitute the parametric coordinates of the line in the equation of sphere and solve to get the…

Q: C'alculate | (ydæ – xdy)] wherein y(t) (2cos(t), 2sin(t)), 0 < t < 27, is an circumference that…

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Q: Given: PQRS is an isosceles trapezoid SX ≅ RY,  SX 丄 PQ,  RY 丄 PQ, SR ||PQ Prove: ∆PSX ≅ ∆QRY

A: Solve the following problem as shown.

Q: 14 Find the surfuce area the part of the parabolic cy linder 2=y? that the triangle with vertices…

A: According to the given information, it is required to find the surface area of the part of the…

Q: Let S be the sphere of radius 1 centered at (2, 3, 4). Find the distance from S to the plane x + y +…

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Q: Find I, I, I, X, and y for the lamina bounded by the graphs of the equations. y = √√√√x, y = 0, x =…

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Q: Find the moximum volue of Fexiys= 4 xy for X >0 and while ful filling x? +YZ 2. y =t condition. 16…

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