n ADEF, C is the centroid. E FCM = 3, find DC and DM. M =Dunits !!

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: Evaluate O xy?dx + a°dy, where C is the rectangle with vertices (0,0), (6,0), (6,3), and (0,3)

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Q: 5. Lis the centroid of ANOM. Find ML if ML = 10x- 4 and MR=12x+18. M N. R.

A: Given that :- L is the centroid of NOM   ML = 10x - 4 and Mr = 12x + 18 To find :- ML  By the…

Q: 4. C is the centroid of ADEF. Find CX if FX = 10. E Y X C F D

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Q: 1 in 1in y 1 in 3 in 1 in X

A: Consider the diagram and divide into four regions as shown below, Now, make a chart and evaluate…

Q: Q3: Find the centroid of the next shaded area. 4m

A: Solution :-

Q: 2. If Z is the centroid of ATUV, TZ = 60, XZ = 28, and WZ = 25, find each missing measure. a) ZV =…

A: Please see the explanation below

Q: Evaluate J₁ 1 E x² + y² + z² x² + y² +2²= 25 in the first octant. dV, where E lies between the…

A: Here we need to use spherical co ordinate system to find value of integral  Relation between…

Q: W R X

A: →Centroid of a triangle is the point at which all three medians of triangle      intersect each…

Q: B. If T is the centroid of AMNP, TN = 16, MQ = 23, and RP = 18, find each missing measure. M. R T.…

A: # we are entitled to solve one question . Please resubmit the other question if you wish to get it…

Q: In AABC, X is a centroid. If AX = 6 units, calculate XE. E D B A

A: topic - centroid of a triangle

Q: Fined Fhe boundled by Ahe Cure area 2. x+Y= 3 %3D -33-j` and ど= %3D Ans wer

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Q: If b = 6 cm, c = 3 cm, h = 6 cm, and a = 2 cm, the centroid of the area about x axis is equal to:…

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Q: of the valve matix is consistant e an linear

A: Given augmented matrix is: -412h2-6-3 Let the variables be x, y. The above augmented matrix will…

Q: Evaluate e dV where E is enclosed by the paraboloid z = 5 + x² + y°, the cylinder 2² + y? = 5, and…

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Q: Use Stokes's Theorem to evaluate JeF - dr- . In each case, C is oriented counterclockwise as viewed…

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Q: C Find the firet order parhal derivohve of fx,y,2). e W y-10y²23+ 43x hCs, t) =° t*In ts) + 32 4,5…

A: We want to find first order partial derivative of the given functions.

Q: Determine the distance h for which the centroid of the shaded area is as far above line BB' as…

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Q: In ANPQ, U is the centroid. If NS=15 find US. R S U

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Q: In AKLM, R is the centroid. If RQ=10 find LQ. L N P R K M

A: In ∆KLM The centroid of a triangle is "R". The length of the RQ=10. The objective is to find the…

Q: Evaluate | CurlF nds F(x,v,z) = - yzi + xzj – xyk, and S is that part of the cylinder 4= x² + y²…

A: Given function is  Fx,y,z=yzi+xzj-xyk To evaluate ∬SCurlF·nds where S is the part of the cylinder…

Q: 2. In A ABC, X is the centroid. A A If CW = 15, find cx and XW. W, B. If BX = 8, find BY and XY.

A: we know that  centroid is located 23 of the distance from the vertex along the segment that connects…

Q: f (lnx + y) dx − a² dy, where & is the rectangle with vertices (1, 1), 1. Use Green's Theorem to…

A: Let I =∮(ln x+y)dx-x2 dy, where the region is C which is a rectangle with vertices…

Q: 2. Obtain the eccentricity e and centroid a, and y. of the following image. f(x.y)=1 (object: dark)…

A: From the figure, we have to write down all the dark box function, for which f(x,y)=1 x,y=3,2, 4,2,…

Q: Use Gauss's law to find the charge enclosed by the cube with vertices (±2, ±2, ±2) if the electric…

A: The net charge enclosed by a closed surface S is given by Q=ε0∫∫s E.dS We can divide S into 6…

Q: Find b∈R such that ∫∫Ssin (b) ydS = 8, where S is the part of y^2 + z^2 = 4 that is between x = 0…

A: To find the value of b satisfying the given integral.

Q: 1. Evaluate I = D xy dA, where D is the triangular region with vertices (0,0), (0, 1), and (1,1).

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Evaluate e dV where E is enclosed by the paraboloid z = 5 + x² + y°, the cylinder 2² + y? 1, and the…

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Q: Consider the solid lih S,: X=4-y² そ=2

A: Surface: Surface, A two-dimensional collection of points (flat surface), a three-dimensional…

Q: Calculate (1+ cos(y²))dA,where D is the triangular region with vertices(0, 0). (–2 - Vĩ,2· VT) e (0,…

A: Given problem:- The given integral is ∫∫D1+cosy2dA, where D is the triangular region with vertices…

Q: Find the centroid of the given region. (A) (5,15) (B) (3/22,45/61) (C) (5/14,38/35) (8/23,76/111)…

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Q: In ABCD, H is the centroid. If HE=11 find DE. E F B D

A: We can use the theorem that centroid of a triangle divides the median in 2:1.

Q: O 9/ Compute I - [.lryz) , uhere s is the part g the plane y +x that lies inside the half-cylinder…

A: We know that, dS=1+∂z∂x2+∂z∂y2dydx where S is the part of plane z=y+x. ∂z∂x=1∂z∂y=1 dS=1+(1)2+(1)2…

Q: Evaluate /// xe²+y²+z² dV, where E is the portion of the unit ball x2 + y? + z2 < 1 hat lies in the…

A: Given The given integral is ∫∫∫Exex2+y2+z2dV E is the portion of unit ball x2+y2+z2≤1.

Q: Evaluate e dV where E is enclosed by the paraboloid z = 4+x² + y°, the cylinder x² + y? = 3, and the…

A: Here we have to evaluate ∫∫∫E ez dV , where E is the enclosed by the paraboloid z=4+x2+y2 , the…

Q: 13. Point P is the centroid for AMNO. Calculate OQ if ON = 17. Round to the nearest tenth if…

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Q: 5. USC cyllndrical coordinates. Evaluatc (k4)dv, where E IS the solid that ies betwern the cylinders…

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Q: In AFGH, M is the centroid. If FM=20 find FK. G J K F H L

A: Given: In △FGH,  M is the centroid of the triangle. FM = 20

Q: Use Green's Theorem to evaluate x' dx + xy dy where C is the triangle with vertices (0,0), (1,4),…

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Q: Find the coordinates of the centroid (to the nearest 0.01 in.) of the uniform flat-plate machine…

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Q: 5. Use Cartesian coordinates to evaluate Jff ² av D where D is the tetrahedron in the first octant…

A: Given 2x+3y+z=6

Q: 4. If M is the centroid of AGHI, HL = 45, and KG 60, find each missing measum 22 K. a) ML M. b) HM =…

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Q: In the figure at the right, C is the centroid of ADEF. If HD = 6x + 18y?, what expression represents…

A: The centroid of a triangle divides each median in the ratio 1:2 .

Q: Qz: IF U=h cx,g )= Lnce+ ě).show that %3D Sy

A:

Q: 1. Determine the x and y coordinates of the centroid of the given figure below. Ту-ахis 2 m 3m 4 m 7…

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Q: 4 In AVYX, the centroid is Z. Use the diagram to solve the problems. A. If XR = 24, find XZ and ZR.…

A: In given triangle we have: XO=OV, XP=PY &amp; YR=RV Therefore, OY, XR &amp; PV are median of given…

Q: Use Gauss's law to find the charge enclosed by the cube with vertices (±2, +2, +2) if the electric…

A: The given Electric field: E(x,y,z)=xi+yj+zk The given vertices of cube is (±2,±2,±2) The expression…

Q: 2) The double integnal | 3x ekdy, whetzeT is the tniang le of VErtices 6,0),c2,0) ond (eti-2),…

A: The double integral is an integral with respect to two different variables the integral of a…