Q3) (-3,2) (3,2) a) Evaluate | (2x – y²) dA, where Ris Triangular region given in figure 1. (0,-2) Figure 1. Click or tap here to enter text.

Q: Find the surface area of z=x2+y above the triangle with vertices (0,0),(2,0),(2,2)?

A: The surface area of a function z=f(x,y) over a region D is given by: Surface Area= ∬D ∂z∂x2+∂z∂y2+1…

Q: Sketch the planar region bounded by y = x³, x +y = -2 and y = 0. Find its area.

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Q: 3y a d-

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Q: Find the area of the surface. The triangle cut from the plane 2x + 6y + 3z = 6 by the bounding…

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Q: sketch the region defined by the inequality. 0 ≤ r ≤ 2 - 2 cos θ

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Q: у%3D 2х — х", у%3D 2х — 4х -

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Q: 2. Region bounded by y= x, x=0 and y=15, rotated about the y-axis

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Q: what is the formula to find centroid of triangular prism

A: Centroid of triangular prism is determined as shown below.

Q: +y).dx + (xy²).c

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Q: Find the area of the unbounded shaded region. y = 8xe- y 2.0 1.5 1.0

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Q: Find the total area of the shaded regions. 14 Q 4-2,12) 12- (2,12) 2. fy%3D3x ty= 10 -4- -2- y%3Dx…

A: We will solve the problem

Q: Compute the rotated area bounded by y = 2x, y = 8 about line x = 3 Compute the rotated area bounded…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Let R be the rectangular region with (1,2) , (2,3) , (3,2) and (2,1) as corners. Use change of…

A: Changing the variables

Q: Find the area of the region enclosed by y = 6lnx, y = 7-Inx, and the line x = 6. O a. -421n6 –-84+7e…

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Q: 3. Region bounded by Y = rotated about the x-axis ,x=0 and y=15,

A: By shell method

Q: Find the centroid of the region bounded by the graphs of y = x and x+ y = 506. NOTE: Enter the exact…

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Q: 4. Region bounded by y = x2, x=0 and y=15, rotated about the y-axis

A: Imagine the plot and rotate it about the axis specified and the resulting figure will lead to the…

Q: rotate the region bounded by y=2x+1, x=4 and y=3 about the line x=-4

A: Solution:-

Q: Find the area of the region in the plane bounded by the circles x2+y2  = 1, x2 + y2 = 2 and the…

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Q: 4) Find the centroid of the region that is bounded by the X axis, the Y axis and the line that…

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Q: 7. Find the area of the portion of the plane in the first octant passing through the points (0,0,6),…

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Q: Use cross products to find the area of the triangle in the xy-plane defined by (1,2), (3,4), and…

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Q: 3. The region bounded by y = x³, y = x, x > 0 is rotated about the x – - axis.

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Q: Compute the rotated area bounded by y = 2x, y = 8 about line x = 3

A: Given regions are: y=2x2, y=8 and the line x = 3 We have to compute the rotating area bounded by the…

Q: Determine the area of the given region. The region bounded by y = 2x2 - 6x + 5 and y = 1

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Q: 3 and y=X %3D 2

A: The equation of the curve is x=12y2-3 The equation of the curve is y=x-1

Q: Find the area of the unbounded shaded region. 3 y = V2 - x y 3.0 2.5 2.0 1.5 1.0 0.5 -5 -4 -3 -2 -1

A: In this question we have to find the saded area in the figure with the help of integration.

Q: R is the region bounded by x2 + y – 4 = 0 and x – y +2 = 0 and it is revolved about y = 0.

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Q: Find the area of ​​region R bounded by y = 2x, y = 5x and y = 5 in the first quadrant  NOTE: The R…

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Q: x=y² – 4y (-3,3) wto rigin

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Q: What is the area of the region bounded by the graph of p? = 16cos20? Choose two (2) correct answers.…

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Q: Evaluate the line integral | (x + 3y + )ds, where Cis the line segment joining the origin with the…

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Q: Sketch the region which is defined by the given condtions. 0 ≤ θ ≤ π, r ≤ 3

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Q: 23) Find the area of plate bounded by y = x- 1, y = 3-x and y = 0.

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Q: Sketch the region A = {(x,y)|(ys3*)^(y2x²)} .

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Q: - the region 1, x = 0, y = %3D

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Q: Find the area of the shaded region. Ay 81- y= 81-x 63- 45- 27- 9- -9 -7 -5 -3 -9 1 3 5 7 9 11 -27-…

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Q: 4. Region bounded by Y = x rotated about the y-axis ,x%30 and y=15,

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Q: 1-4 - Find the area of the shaded region. 1. yA y= 5x-x2 2. %3D (4,4) y= x

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the area.of.. the region. R bounded by the graphs of gien equations 2. 4.= X +2 draw.and.…

A: As we know the area bounded by curves can be calculated using the definite integral, as we will…

Q: The area of the region inside the cirde Y = 6 cose and outside the Cardiaid V= 2(1+ Cose) ayo is + 4…

A: Let us consider the curve r=f(θ) The area under the curve is obtained by bounded region is…

Q: 1. Region bounded by y= x, x=0 and y=15, rotated about the x-axis

A: Volume of solid revolve around y axis

Q: Determine the area of the shaded region bounded by y = -x² + 8x and y = x² - 6x. Ay 30- 20 10 -30…

A: We first find the x values where the graphs intersect by setting them equal.…

Q: Use Simpson's Rule to estimate the centroid of the region shown. yA 4 2 6 8 x 4.

A: The number of subintervals as n=8. Calculate the subintervals ∆x of the region:  ∆x=b-an…

Q: Sketch the region enclosed by y 4x and y 9x2. Find the areą of the region. =

A: l

Q: find the are of the plane region bounded by the urves y=3x2 and y=16-x2

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Q: The region in the first octant bounded by the coordinate planes, the plane y + z = 2, and the…

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