Find the centroid of the area shown in figure 1.

Q: Find the the surface area of of the indicated surface The portion x +3y+z = 6 in the first octant.

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Q: Find the centroid of the given region. ... y = 2-x y = x A (3/22,45/61) B) (5,15) (8/23,76/111)…

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Q: Identify the center shown below as a centroid, an incenter or a circumcenter. %24

A: We will identify the incenter, centroid and the circumcenter in the following step

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

A: Solution :-

Q: Describe and sketch the region of following: Im (z²) = 4 %3D

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Q: 3. Find the area of the striped sector. MV 104 d-25ft

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Describe in words the region in R° represented by the equation x2 + y² + z² < 0.

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Q: Let R be the region in the plane enclose

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Q: Tis the centroid

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Q: Find the centroid of the given region. y = 2-x? y = x A (3/22,45/61) В) (5,15) c) (5/14,38/35)…

A: Centroid is x¯,y¯ , where, x¯ = 1A∫ab xfx-gx dx  and y¯ = 1A∫ab 12 fx2-gx2 dxand A = ∫ab f(x)-g(x)…

Q: Use calculus to find the area A of the triangle with the given vertices. (0,0), (6,1), (1,5)

A: Consider the coordinates are, x1,y1=(0,0)x2,y2=(6,1)x3,y3=(1,5) Then, the area of the triangle given…

Q: Sketch the region given by the set. {(x, y) | y = 3}

A: The set is x,y|y=3. The region is set of all values x,y such that y=3. That is, the region is the…

Q: Determine the y-coordinate of the centroid of the shaded area. Set a = 11 in., b = 28 in. Answer: y…

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Q: Calculate the area of the shaded part y = x + 3 and y = x³ – 3x + 3. y3x+3 Area 1 Area 2 (2, 5) + y…

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Q: Find the centroid

A: Given,            The vertices of the triangle are 0,0,1,0 and 0,7.To find : The centroid x¯,y¯ of…

Q: EX Find the region-in the Z-plane represented by

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Q: 3

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

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Q: where the region D

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Q: 1 2.5" y 3" 6 -Х

A: Given data:-

Q: Find the area of the sector shown in the given figure 300 (a)12.8 (b) 16.7 (c) 21.19 (d) 26.16 O (C)…

A: Solution:Givenr=8  and α=30°To find the area of the sectorFormula:Area of the sector=θ360πr2

Q: Calculate H formed by by the 3-2 %3D the region:

A: Given regions are y=x2, y=3-2x, x axis.

Q: Find the centroid of the following cross-sections and planes OPIGIN 21

A: The centroid of a composite can be calculated using the formula X=∑xi Ai∑Ai, Y=∑yi Ai∑Ai. Here, xi,…

Q: Sketch the region which is defined by the given condtions. 0 ≤ θ ≤pi/4  , 0 ≤ r ≤ 4

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Q: 4. Locate the centroid (x, y)of the following composite areas:

A: The centroid of rectangle is given by x2,y2 where x, y are the length and width respectively. The…

Q: 1. Determine the centroid of the shaded area B in this Figure A=6 B=6

A: The centroid of area can be evaluated using integration. The centroid of the area under the curve…

Q: R mm 150 mm Y-

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Q: Sketch out the region {z E C : Im(z²) > 0, 1 < |z| < 2}.

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Q: 2. Find the area of the region enclosed by æ + y? = 0 and ¤+3y² = 2.

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Q: Find the centroid of the semicircular region in Figure 6.7.8.

A: A detailed solution is given below.

Q: Find the location of centroid for the figure below:

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Q: Find the centroid of each of the given plane region bounded by the following curves: y = x³,y = 4x…

A: The two given curves are y=x3, y=4x.

Q: Locate the centroid of the plane area shown. 20 in. Ans: 9.00 20 in- Fig. P5.12

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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: Identify the center shown below as a centroid, an incenter or a circumcenter.

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Q: Evaluate the double integral 2xy dA, where D is the triangular region with vertices (0, 0), (1, 2),…

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Q: Find the area of the unbounded shaded region.

A: We see from the curve that x is varying from x=0 to x=1 for shaded region.So, our limit will be x=0…

Q: Consider the solid generated by the surfaces octant the 1st in

A: The surfaces are given by x2+y2+z2=4   and y2+z2=2 To find the volume bounded by two surfaces in the…

Q: Find the area between the two Curves Parabla and achord through the vertex. Cuse y= 9ax, y= mx)

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Q: Locate the centroid of the plane area shown if a 25 in. 20 in. r = 15 in. 30 in.

A: Area of Rectangle equals to : Arectangle=20+3025                =1250in2 Area of semi circle equals…

Q: Find the area of the surface. The portion of the paraboloid z = 16 - x - y in the first octant

A: The given surface is the portion of the paraboloid z=16-x2-y2 in the first octant. The surface area…

Q: Find the centroid of a thin, flat plate covering the region enclosed by the x-axis, the lines x = 2…

A: Given information:

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: Determine the coordinates of the centroid of the trapezoidal area shown. y 60" 40" 60"

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Q: Calculate (x+ y)dA, where Ris a triangular region with vertices (0,0), (3,0) and (3,3).

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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: Q1- Determine the coordinates of the centroid of the area.: (1, 1)

A: We need to find the x coordinate and y coordinate of the shaded region which is bounded by two…

Q: 4 in 2in Зin 1.5in + 2in 3in

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Q: Find the area of the shaded region. y = <솔, 2) <2,놀) 1.69 1.25 o 1.39 1.50 1/2

A: Given a shaded region which under the curve y=1x between the points x=12 and x=2. Find the area of…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.