Calculate the Pntegrals over the defined region . y=-2x and y=1-2x on paralleberaM clased with Rhes. 2x²_Sxx-3y2 dA

Q: Sketch the region enclosed by the given curves. y = 6 cos ax, y= 12x² – 3 y y 4| 2 -1.0 -05 d.5 1.0…

A: Area of the Region bounded by the curve :     If f(x) and g(x) are two continuous function on [a,b]…

Q: ) Find the gavea d the region encleSed by the line x-In3 and the curves y= ex and %3D y= ex

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Q: Find the centroid of the region bounded by y? = 8x and y? = 16(x – 4). NOTE: Enter the exact…

A: This question is related to the integral of the function. First of all for calculating the centroid…

Q: Evaluate dA where R is the region given by 0sxs 1, 0s y s 1.

A: The question is taken from the calculus in which we have to find the double integral value  so We…

Q: How far from the y-axis is the centroid of the area bounded by the curve y = x3, the line x = 2, and…

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Q: Find the centroid of the region bounded by y? = 14x and y² = 28(x – 7). | NOTE: Enter the exact…

A: The centroid coordinates are given by x¯=1A∫Ax dA and y¯=1A∫Ay dA.

Q: Evaluate || 5x cos y'dxdy where S is the region bounded by y = 2 and 1 x and the y-axis. 4 y =

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Q: Find the centroid of the region bounded by y? = 14x and y² = 28(x – 7). NOTE: Enter the exact…

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Q: Given the curve y = x´ and the line y =2- x Find the ordinate of the centroid of the region bounded…

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Q: Find the centroid of the region bounded by y? = 16x and y? = 32(x – 8). - NOTE: Enter the exact…

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

Q: Given the area bounded by the curve y^2 = 4x and y^2 = 8x − 8. Determine the centroid area bounded…

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Q: Evaluate |[(x+2y)dA,where D is the region bounded by the parabolas y= 2x D and y=1+x².

A: We can help you with the question. I am not sure how to help you with its attachments.

Q: Evaluate xydxdy over the region bounded by x axis, ordinate x = 2 and the curvex² = 4y %3D OA 3 О В.…

A: The shaded region shown in the figure is the area of integration

Q: H. w: find find the region bounded by x=y-y² Y = 1, revolved about Ⓒx-axi

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

Q: Sketch the region enclosed by 2y = 5/T, y = 3, and 2y +2x 7. Decide whether to integrate with…

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Q: Find the surface area of the portion of the cone z=ax +y within the cylinder x+y =1.

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Q: Sketch the region bounded by the following curves and etermine the centroid of the region. y = 3x…

A: The curves are given as follows: y=3x2 and y=3x13 1)To sketch the region. 2)To determine the…

Q: Find the centroid of the region bounded by y? = 8x and y² = 16(x – 4). NOTE: Enter the exact…

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Q: Sketch the region enclosed by 2y = 5/a, y = 4, and 2y + 2æ = 7. Decide whether to integrate with…

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Q: If M-SS xy dA , find the CM) if R is the region bounded betcween the R Line y = 3 and y= 1 and ら-2X…

A: Given :           M= ∬ xy dA   To find M if R is the region bounded between the line y = 1 and y =…

Q: Given the curve x = 2 y – y´ and the line x = 0 Find the ordinate of the centroid y of the region…

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Q: 8. Find the centroid of the region bounded by the given curves, y = x² and r = y?. %D

A: Given that  The curves x=y^2 and y=x^2  To find the centroid of the region

Q: Which of the following equals to the area of the plane region bounded by the ellipse 4x²+y² = 4.…

A: Option 1 is true.

Q: Find the centroid of the region bounded by y? = 22x and y² = 44(x – 11). %3D NOTE: Enter the exact…

A: The centroid coordinates are given by x¯=1A∫Ax dA and y¯=1A∫Ay dA.

Q: Find the centroid (a, y) of the region bounded by: y = 4x? + 8x, y = 0, x = 0, and a = 6. y= II 18

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Q: Evaluate xydxdy over the region bounded by x axis, ordinate x = 2 and the curve y² = 4y %3D OA3 O B.…

A: To find: The value of ∫xydxdy over the region bounded by x- axis, ordinate x=2 and the curve x2=4y.…

Q: Eraluate: 1. JJR e-(n^²+yv) the eincles of padii 1& 2 dady, R is the region of between.

A: As per the our guideline, we are supposed to solve only first question. Kindly repost other question…

Q: Calculate the points of intersection of the curves x² = 4y and aup ert neswted biloa ent to y²/4 = x…

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Q: 4) çalculate [ 4XdA on disk R which is the region bounded by Y = X² y la recta X – Y + 2 = 0. A) 7…

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Q: integrate ƒ over the given region. ƒ(x, y) = x/y over the region in the first quadrant bounded by…

A: Given

Q: Given the curve y = x' and the line y = 4x in quadrant 1 Find the abscissa of the centroid X of the…

A: We have to find abscissa of centroid of region bounded by the given curve and line.

Q: 135 2. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: s. u.) 4

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Q: Find the centroid of the region bounded by y? = 14x and y² = 28(x – 7). NOTE: Enter the exact…

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Q: Find the area bounded by lines and curves: a) y = 2r – a² , y = -3 b) z = y³ – y² , r = 2y c) y² –…

A: Given that

Q: (c) Find II zdV where E is the region bounded by the cylinder y² + z² = 9 and the planes E x = 0, y…

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Q: Find the centroid of the region bounded by the graphs of y = x? and x + y = 306. NOTE: Enter the…

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Q: find the area of the x+y+z= 6 plane part remaining in cylinder x2 + y2 = 6

A: The area of the plane, z=f(x,y) remaining in a surface is calculated by the formula below .…

Q: Find the centroid of the region bounded by the graphs y = x? and y = x + 12. (ï, j) =|(?, ?) %3D

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Q: c.) BRAW THE REGION OF INTEGRATION (ON RIGIHT) = ENDICATED 3Y Yxtave' dy dx アそ

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

Q: Determine the area and the centroid (x, y) of the area. 4 m y² = 4x - 4 m

A: here we can use find area using integration with respect to y to reduce calculation.

Q: 343 2 1. y = x² - 9 and y = x + 3 (Answer: 6 s. u.)

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Q: Find the area of the surface given by f(x, y) = 8 + 4x – 5y that lies above the region R= {(x, y) :…

A: The surface f(x,y)=8+4x-5y that lies above the region R=x,y:x2+y2≤1.

Q: Sketch the region bounded by the following curves and etermine the centroid of the region. y = 4x2…

A: We have to solve given problem:

Q: Use an appropriate change of variables to evaluate the integral I xy dxdy when D is the region in…

A: Jacobin transformation

Q: Given the curve y = x' and the line y = 4x in quadrant Find the ordinate of the centroid y of the…

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Q: Rotate the region bounded by y = 3x*,y=D0, and x=3 aberut 4= 3x2 the granis: Find the resutine…

A: Let the R be the region bounded by y=3x2 and x-axis between x=0 and x=3 .…

Q: Given the curve y = x´ and the lines y = 0 and y = 2 –x. Find the abscissa of the centroid X of the…

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Q: Find the centroid of the region bounded by y? = 22x and y² = 44(x – 11). NOTE: Enter the exact…

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Q: Find the area and centroid bounded by the curve y? = 12 – 3x and y = 3x %3D

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Q: Find the centroid of the area bounded by 2-4y + 8 = 0, the lines x 0 and x = 4, and the x-axis.

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