3)Evaluate /y² + 1dA , Ris bounded by x = 4 - y² ,x = 0 R

Q: Find the area A of the region between y = 4x +8 and y = 3x +2 over the interval [-2,3]. y= 4x+ 8 40-…

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: Let R be the region bounded by the curve y = r and the line y = 2x. Use inequal- ities to describe R…

A: In this question we have to describe the area of region by using vertical cross section

Q: Compute for the area of the region bounded by X = 1, x = 2, y = (x - 1)² – 2, and y = (x – 3)² + 2.…

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Q: Find the volume bounded by z = 9-x²-y² and z = 0.

A: find explanation below

Q: 5. Determine the point intersection between curve y= x(3-x)and the line y= x. Hence, find the area…

A: To find the intersection points of the given equations y = x(3-x)  and y = x

Q: Compute for the net area bounded by y = 0.75x2 - 3x and the x-axis (note: 1 box/gridline equal to 1…

A: Here, form the given figure: A=∫04(0-(0.75x2-3x))dx=∫043x-0.75x2dx

Q: y = 0, y = 2, y = 2 – (x + 2)´, y = 2 – x - -

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Q: 3. tind the area bounded by thu follo wing curves: y= X^2-4,y= 0,x = 4

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Q: Sketch the region in the xy-plane defined by the inequalities x - 2y2 ≥ 0,   1 - x -| y| ≥ 0, and…

A: Now the graph is,

Q: Compute area of the region bounded byx2+ (y−1)2= 9 andy=x+ 1 and the (horizontal) liney= 1 (we…

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Q: Sketch the region bounded by the graphs of y = 9- and y = 6- x, then find its area. 2

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Q: Find the area bounded by the following curve and line: 4y = x² - 2lnx, y = 0, x = 1, x =4

A: Here we have to find the area bounded by the given curve and lines    4y=x2-2lnx, y=0, x=1,x=4

Q: at is the area bounded by the graphs of y = x^2 + 2, y = -x, x = 0, and x = 1?

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Q: Find the area of region that is bounded by the given curves. Integrate with respect to x and then…

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Q: The region R is bounded by y 4 %3D and y = x +3. -

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Q: What is the total area between f(x)=2x−7 and the x-axis over the interval [0,5]?

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Q: 2S ketch Fue Seqion bounded by X=y2 cind 4:3

A: We need to sketch the region bounded by X=Y2, X=0 and Y=3. First we will find the intersection…

Q: A region in the xy-plane is bounded by y = 2x + 2, X = y + 2, y = -2, 2 y = 2. and

A: Given curves are y=2x+2 and x=y22+2 The limits are y=-2 and y=2 We isolate x from the first curve,…

Q: Determine the area of the region bounded by x = ³√/y-1 from y = 0 to y = 1.

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Q: Find the betwween/bounded by area the Curue u=4y-x² and The line. 4=8-Zx.

A: Sketch the two curves From the graph, we observe that both curves intersect at x = 2 and x = 4.

Q: What is the area of the region bounded by y = x^2, the x-axis, and the lines x = 2 and x = 5, using…

A: Given function is, y=x2 Limits for x is, x1=2x2=5

Q: Evaluate the double integral:  x cosy dA where D is bounded by y = 0, y = x^2, x = 3 draw region of…

A: Given: ∬D x cos y dA  where, D is bounded by y = 0,  y = x2, x = 3 To evaluate: The double integral…

Q: 2Skelch Fue X:० ८७८ Seqion bounded by X=y 4:3 2 cind

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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: 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: A region is bounded between x = 0, y = 1, x = 1, and y = (x-1)^2+1. What is the volume generated if…

A: Volume integral problem.....

Q: Determine the area of the region bounded by y=2x^2+10, y=4x+16, x=-2 and x-5. O 46/3 2/3 32/3 O 1/3…

A: Given y=2x2+10, y=4x+16, x=-2 and x=5

Q: Calculate the area bounded by x (x-4) + y = 0 and the lines x + 2 = 0; y - 4 = 0.

A: We can evaluate the unshaped surfaces by using triple or double integral technique.

Q: – 4V5 )ds]

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Q: Find the area bounded 1. 2x2 + 4x + y = 0,y = 2x 2. y = x³,y = 4x?

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Q: Show that the region bounded by y = 2 cos x, y = sin x, 3/2 -1. x = 0, x =- has area 2

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Q: Find the area of the region bounded by y = 5-x2, y 2x+2, y=-x-1, a. in terms of x b. in terms of y y…

A: We will find out the required value.

Q: хе? -dA 4-y b- Ris bounded by x=0,x=2,y=0,^y=4-x?

A: Find the double integration of the given function:

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

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Q: 4 Set upinbegrl for th volume caboud x- -I y. 12 and

A: Volume problem.....

Q: Find the area of the region bounded by y = 5-x2, y 2x + 2, y=-x-1, a. in terms of x b. in terms of y…

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Q: Sketch the bounded region enclosed by 2y = 4/x, y = 3, and 2y + 3x = 7, then %3D find its area.

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Q: Sketch the region bounded by y =x² and x =y ( x 2 0) about the x-axis. %3D

A: Solve the following

Q: How would I go about solving ∭xzdV, where E is bounded by the planes z = 0, z=y, and the cylinder x2…

A: We will find out the limits first.

Q: Sketch the region bounded by 1 + 2, y = -x, x= 1, x = 2 y = - %3D and FIND its area.

A: To sketch: the region bounded by the curves: y=1x+2, y=x2, x=1, x=2. And also, we need to find the…

Q: : Determine the area of bounded by y = 2x-1, and y = 4x-2 on interval [1,4].

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Q: Find the area bounded between two curve by using Simpson' 3/8rule y=Vx+2 x=2 y = x+1

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Q: 4 SET UP AN INTEGIUL fonila fen SUifACE Arfer BounDED By Y=x-2y, x-C , Y=3, Auo x 20 CHEN ReTATowh…

A: The integral for finding surface area of the solid obtained when the region rotated about y axis is…

Q: Compute the area of the region bounded by the curves f(x)=1/x+2,g(x)=(x+2)^2 and the lines x=-3/2…

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Q: The area bound by the curve y^2 = 12x and the line x = 3 is revolved about the line x = 3. What is…

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Q: Use the Midpoint Rule withn = 8 şubintervals to approximaté the area A of the region bounded by the…

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Q: Evaluate the lino integral y+ + (4+2-x>y +2が Where C consitts of line segments from 0,-,2) to…

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Q: Sketch and set up the integrals for volume of the region bounded by y = x^2 + x - 2 and y = 3x + 13,…

A: Given are the curves  y=x2+x-2 and y=3x+13 We need to set up the integral for the volume of the…

Q: y=√x, x = 4, and the x-axis.

A: Consider the given function y=xand the x-axis

Q: Compute for the area of the region bounded by y = x² - 2 and y = - (x - 1)² + 3. Enter only the…

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