Find the coordinates of the centroid of the triangle enclosed by x = 1, y = 0, and y = 4x

Q: What is the x centroid position for the shape below? Center:D, 2m 10m 3.4m 3.9m 4.4m 4.9m

A: Formula for centroid, C C=∑Ax∑A

Q: Find the center C and the radius a for the spheres in Exercises 51–52. 51. (x + 2)2 + y2 + (z - 2)2…

A: To determine the centre and radius of the sphere.

Q: If KN=2x+1 and NJ=3x+5, what value of x makes point N the centroid? K, J M

A: (1).   If in the given triangle N is the centroid then the point N divides the line HL, JK and LM in…

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: 1. Point L is a centroid of the triangle FWD. If RL = 54 cm, what is RD? W R ) 81 cm 58 cm O 100 cm…

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Q: Tis the centroid

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Q: Determine the distance y measured from the x axis to the centroid of the area of the triangle shown…

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Q: Verify Euler's formula for the solids below. (i)

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Q: Find and equatin for the parabolid z = x^2+y^2 in spherical coordinates

A: Given query is to find equation of paraboloid in spheo coordinates.

Q: y A y=}x? 2

A: Please see the explanation below

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

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Q: state the type of the quadric surface and describe the trace obtained by intersecting with the given…

A: Given: x2+y42+z2=1  ……1   Equation of plane is: z=14  ……2

Q: Find the centroid (x, y) of the triangle with vertices at (0, 0), (10, 0), and (0, 2). 18 15 X=

A: Consider a triangle with vertices at (0,0),(10,0) and (0,2)

Q: Locate the centroid (T, y) of the shaded area. 5 in. 3 in. 4 in. 6.in.- That means, find the x and y…

A: The centroid of given figure is calculated by breaking the figure in 3 parts as shown in figure…

Q: Find the centroid of the region in the polar coordinate plane defined by the inequalities 0<=…

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Q: y? = 3x 2 in. 3 in.

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Q: Find the Centroid of the shaded area y -30– 30 15

A: Lets draw co-ordinates in the figure as such: Also lets guess mass-density per unit area is unit.

Q: 1 2.5" y 3" 6 -Х

A: Given data:-

Q: Find the centroid of the boomerang-shaped region between the parabolas y2 = -4(x - 1) and y2 = -2(x…

A: Parabolas are

Q: ). Find the centroid of the first quadrant area bounded by the parabola y = x2 and the line y = x.…

A: According to the guidelines answer of first question can be given, for other please ask in a…

Q: 4. Locate the centroid (x, y)of the following composite areas: -3 ft 3 ft I 1.5 ft 1 ft

A: Consider the given composite area and divide then into four areas as shown in diagram below,

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

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Q: 1. Sketch carefully the solid enclosed by the three cylinders x + y* – 1,x² + 2² = 1, and y + z² =…

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Q: Question 2: Calculate the coordinates of the centroid for composite shape given. 5cm 3cm r=2cm (0,0)…

A: The centroid of a right triangle is at h3,b3 with respect to the vertex with the right angle. Here,…

Q: Find the centroid of the surface cut from the cylinder y2 + z2 = 9, z>= 0, by the planes x = 0…

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Q: m

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Q: R mm 150 mm Y-

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Q: In APQR, V is the centroid. If QU=54 find QV. S T V R U

A: Centroid is the point of intersection of the medians.we know that centroid divides the each median…

Q: 3. Find the centroid of the region bounded by the parabola y? = 4x, the y-axis, and the line y = 4.

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Q: y 1 X 1 2.

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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: Locate the centroid of the shown section by calculating for X and Y. Consider b to equal 1.5 m while…

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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: y 2 2 2 4

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Q: Consider the figure below, point D is the centroid of △ABC with DF = 4x − 1 and BD = 6x + 4. Use the…

A: Figure of triangle is given, where point D is centroid with DF=4x-1 and BD=6x+4.

Q: Find the centroid (¯x,¯y) of the triangle with vertices at (0,0)(1,0) and (0,5) x¯=    y¯=

A: Answer is given in next step.

Q: Determine the coordinates of the centroid of the shaded area. 25 y 70 I 50 25 60 60 50. 175…

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Q: Find the centroid of the polyhedron with four triangular faces in the first octant that is bounded…

A: The region is bounded by the three coordinate planes and the plane x+y+z=1. Thus, the region can be…

Q: (b) Find the volume and the surface area of the truncated cone made by the rotation of the solid…

A: Formula of cone: Volume of the cone, V=πr3h3 Surface area, A=πrs+πr2 where, r= radius of the base h=…

Q: Evaluate y* dV, where E is the solid tetrahedron with vertices at (0,0,0), (2,0, 0), E (0, 2,0), and…

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Q: Find the centroid of a thin, flat plate covering the “triangular” region in the first quadrant…

A: Consider the given curve.

Q: Calculate the Y-coordinate of the centroid of the rectangle shown in .Figure

A: In this question, the coordinate of the centroid of the rectangle is applied.

Q: A research facility is located at the centroid of the triangle made by highways connecting three…

A: Given: Distance between town P and Q is 6 mi. Distance of median from R meeting PQ at S say,…

Q: Find the centroid of the parabolic spandrel shown in the figure.

A: We have given a diagram of parabolic spandrel;

Q: Determine the coordinates of the centroid of the shaded area. y 25 E 50 60 25 60 70 50

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Q: If M is a centroid of triangle WOR and YR = 8, what is the length of WR? %3D W M R O 4 0 8 O 16 O…

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Q: y. y:3x- 31 to

A: Consider the figure, which is given below

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: Integrate G(x, y, z) = x + y + z over the surface of the cube cut from the first octant by the…

A: Definition used:

Q: 4. Find the centroid of a thin flat plate covering the region enclosed by the parabolas y = 2r and y…

A: The given problem is to find the centroid of the thin flat plate covering the region enclosed by…