7. Are these two regions the same? R1 = {(x, y) | 0 < y < 2, y? < x < 4} R2 = {(x, y) | 0 < x < 4, 0 < y < VI}

Q: 6. Find the area of the region enclosed by the graphs of y = Vx+1 and y = }x – 2 and the vertical…

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Q: Find absolute extreme values of f(x,y) = 2xy² over the region R that is above the x-axis and bounded…

A: Given that f(x,y)=2xy2.

Q: y = 2 – x2 ; y =-x

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Q: 6. Sketch the region in the zry-plane that is bounded between the graphs of y= In+4 and y = +2x.…

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Q: 1. Find the area of the enclosed region by y= 6-x,y= v and line y = 0. %3D 2. Find the area of the…

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

Q: 3y a d-

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Q: Find the number k> 0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

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Q: Find b such that the line y = b divides the region bounded by the graphs of the y = 9 − |x| and y =…

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Q: The area of the region bounded by the curves y=x and y = 20 – x² is .4 A = I 120 –x²-x| dr -5 5 4= […

A: Given: To find the area of the region bounded by the curves y=x and y=20-x2

Q: 17. Region bounded by y = 2x, y = x and x = 2. Rotate about: (a) the y-axis (b) x = 2 (c) the…

A: As per company guidelines we are allowed to solve maximum three sub parts so i am solving first…

Q: 2. Find the area of the region bounded by the curve y = x^3 − 2x^2 − 5 x + 6, the x-axis, and the…

A: Given: y=x3-2x2-5x+6 For finding area of region bounded by given curve with x-axis and the lines…

Q: Determine the area of the region bounded by 3x - 5y + 4 = 0 and y-axis from y = 2 to y = 5.

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Q: R is the region bounded by y = 4 – x2 and the x-axis and it is revolved about y = 4.

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Q: Find the number k > 1 such that the region bounded by the curves y = 1, y = x-2, and x = k k has…

A: Given curves are y=1 and y=x-2 and interval is x=1 to x=k

Q: Find the area of the region bounded by the given curves. c.)   y=4x-4x2, y=0, x=1, x=3     Ans.…

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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: Region bounded by y = 1 − x2 and y = 0

A: To graph the region bounded by, y = 1 − x2 and y = 0

Q: Sketch the region defined by the inequalities 0&lt;= r&lt;=2 sec u and -pai/4 &lt;= u&lt;= pai/4

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Q: Given that R is the region bounded by the curve y = x+3 and line y= x-3. (b) Describe the region Rby…

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Q: 2. The area bounded by y = -(x – 1)² + 4 , and the lines x =1, y = 2, and y = 4 rotated about the…

A: Given: The area bounded by the curves which are: y=-12(x-1)2+4 and the lines x=1, y=2 and y=4 And…

Q: 8. Sketch the region bounded by y = between x 1 and x = 2 then find the are of this x2+x region.

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Q: 6. The region bounded by y = 2x - x2 and y = x abouta. the y-axis b. the line x = 1

A: The region bounded by y=2x-x2 and y=x about  about the y-axis, ∫01∫y=x2x-x2dydx=∫01(2x-x2-x)dx…

Q: 6. Find the area of the region bounded by y =1+cosx, y = 2, x=1.

A: Given curves are  y=1+cosxy=2x=π

Q: Find the area of the region(s) enclosed by the curves y= x^2/2 - 3x and y= x^2/2

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Q: A region is bounded between x = 0, y = 1, x = 1, and y = (x-1)^2+1. What is the area of this region?

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Q: Find the area bounded by the FF.curved and lines. a.) The loop of y^2=x^2(4-x) b.)4y=x^2-2lnx, y=0,…

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Q: 1. Find the area bounded by the curve y = x8 and (a) the lines y = 0, z = 2, (b) the lines x = 0, y…

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Q: Find the area of the region bounded by the given curves.   a.) y=4x-x2, y=0, x=1, x=3    Ans. 22/3…

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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: 3. Region bounded by y = x2, x=0 and y=15, rotated about the x-axis %3D

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Q: The region is bounded by the curve y = 6x – x² and y = x² – 2x –

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 17. Region bounded by y = 2x, y = x and x = 2. Rotate about: (a) the y-axis (c) the x-axis (b) x = 2…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: 3) The region bounded by y = x³ – 1 and x- axis on the interval [-1,2].

A: We need to find region bounded in given interval.

Q: 2. Find the area of the region bounded by x=y², x=-1, y = 2 and y = -1.

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Q: Consider the region bounded by y = 2√x, x-axis, and x = 1.

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Q: 1. Find the area of the region bounded by the curves y = |x² - 4| and the curve y =x2 + 4 %3D

A: One of the two main parts of calculus is concerned with the study of integrals, as opposed to…

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: Areas of regions Find the area of the following regions.

A: Given that, y=10x2-2x-24

Q: 13. Region bounded by: y = 4 – x and y = 0. - Rotate about: (а) the x-axis (c) y = -1 (b) у — 4 (d)…

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Q: 16. Find area of the region enclosed by the lines and curve: x = y3 – y2 and x = 2y 3D

A: From the given curves the bounded region is shown as below. Now find the point of intersection…

Q: The region bounded by the curves y=1-x^3. ,y=e^x.  And the line y=3

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Q: 1. Find the area bounded by the curve y = x8 and (a) the lines y = 0, z = 2, (6) the lines z = 0, y…

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Q: 3. Find the area of the plane region bounded above by y = 1 -|x-1| and below by the x-axis. y = 1…

A: Here we have to find the area bounded by the given regions.

Q: ) Find the number k>0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

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Q: 1/ Find the area of the region bounded by the line y = 1- x and the curve x = 3 - y

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Q: 4. Find the area of the region bounded by the parabola x=y^2 +2 and the line y=x-8 *

A: Given curves are x=y2+2, y=x-8 We have to find the area bounded by this region.

Q: Find the area of the given region y = sech (x/2)

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Q: Region bounded by y=Vx, x=0, and y=2

A: We have to find out the volume of the given solids.