Set up an integral to find the surface area when rotating the region defined by y=√x , 2≤x≤6 about the x-axis. DO NOT EVALUATE.

Q: Find the Area bounded by the curves y² = x and x = 2y – y². %3D

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Q: Find the area bound between the curves y = Vx + 3,y = x – 3 and y O seen below. %3D

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Q: 2. Sketch the region whose area is represented by the integral 6 Siz dxdy.

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Q: use an iterated integral to find the area in the first quadrant of the region bounded by the graphs…

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Q: y = e²x and x - 2y + 5 = 0

A: x-2y+5=02y=x+5y=x+52The equations are: y=x+52y=e2x

Q: Set-up the integral to calculate the area of a region bounded by x-y=3 and y=x2 -6x+9 ?

A: Given x-y=3 and y=x2-6x+9 To find area of region between these two curves:

Q: Sketch the region whose area is represented by the definite integral. dx y 12 12 10- 10 8. 6 6 10 2…

A: The definite integral can be used to evaluate area of region bounded by curves. If over an interval…

Q: Sketch the region bounded by the curves x = Vy+ 8 , x = y – 4 and evaluate the area.

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Q: What is the area of the region between the curve y = 3x² and the x -axis on the interval [O, b]

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Q: Use six rectangles and right endpoints to estimate the area under the curve f(z) = V2x on [0,3).

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Q: Find the area bounded by the curves y= x', x = 2, and y = 0 using double integration.

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Q: Find the area under the curve y = 5xe-* for x > 0. %3D area %3D

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Q: Determine the area of the region between the two curves by integrating over the y-axis. x = y² and x…

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Q: Approximate the area under the curve y = x' from z = 2 to a = 4 using a Right Endpoint approximation…

A: To approximate the area under the curve y=x3 from x=2 to x=4 using a Right Endpoint approximation…

Q: Write the integral that would be used to find the area of the region bounded by x = 1, y = vx and y…

A: Given: y=x, y=-x+6, x=1   From the given curves and line the bounded region is as shown below; Now…

Q: Use a double integral to find the area of the region R enclosed between the parabola y = ½x² and the…

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Q: The region D is bounded by the curves y = 5, and y = 5x². Which of the following can be used to…

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Q: Sketch the region whose area is given by the definite integral. xp 3 2.5 yA.5 y 2 1 0.5 2 3

A: We can immediately discount the options on the right because the graphs are not of the function…

Q: Compute the area of the region which lies to the right of the parabola x = y^2 – 12 and to the left…

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Q: Find the area of the region enclosed by the curves y = x² and y = x by integrating with respect to…

A: Let f(x)=y=x2      (1)g(x)=y=x          Compare x=x2x2-x=0x(x-1)=0x=0 or x-1=0x=0 or x=1Put value of…

Q: Sketch the region whose area is given by the definite integral. - |x| dx 5. 4. 3 y 3 y 2 -4 -2 y 3…

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Q: Find the area bounded by the curve r² = 16cos0 %3D

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Q: Find the area of the region bounded by y = 3x + 10, y = -4x + 1 and x = 12. Leave your answer…

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Q: Find the area bounded by the curves: 2y2 + 4x + y = 0 and y = 2x.

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Q: Find the area of the region bounded by y = 9x + 8, y = -3x + 4 and x = 14. Leave your %3D answer…

A: Area between curves

Q: Set up the integral to find the area of the region bounded by x = 4y - y and x = 0.

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Q: Find the area of the region bounded between y =4/xand y = 5 − x

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Q: Find the area of the region enclosed by the curves y = x² and Y = 5x by integrating with respect to…

A: We have to find the area of the region.

Q: Find the area of the region enclosed between the curves y= x³ and x= y ?

A: Given: y=x3 and y=x

Q: = Find area of the region bounded by x² + y² = 4², 10y = -6x and 13y 8x where y > 0. Leave your…

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Q: Approximate the area under the curve y=4x2+1 on the integral [0,4] n=4 using the trapezoid rule

A: Given : y = 4x2 + 1  To find : Area under given curve using trapezoid rule . Solution : Approximate…

Q: Use a double integral to find the area of the region. The region inside the circle (x - 3)2 + y2 = 9…

A: To find the area of the region inside the circle (x-3)2+y2=9   and outside the circle x2+y2=9 First…

Q: Find the Area bounded by the curves y2 = x and x = 2y – y?.

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Q: Find the area bounded by the curves, y = 2x –x² and y=x-2.

A: Here we have to find the area bounded by the curves, y=2x-x2 and y=x-2 .

Q: Compute for the area of the figure bounded by the curve y = x³, y = 8 and x = 0.

A: Given : y = x3 , y = 8 and x = 0. To find : Area of figure bounded by the given curve and lines?

Q: Find the area of the region enclosed by the curves y = x² and y = 3x by integrating with respect to…

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Q: Find the area of the region enclosed by the curves y = x2 and y = 2x by integrating with respect to…

A: The area, A, enclosed by two curves y=f(x) and y=g(x) in the interval a, b is calculated using the…

Q: The area of the region between z = 0 and z= 1 is 0.3643. True or False

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Q: Find the area between the curves y = x² + 5x and y = 3– x² between a = -2 %3D and z = 0.

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Q: Write the integral that can be used to find the region bounded by x = -3y² + 4 and x = y³.

A: We have to construct  the integral to find the region bounded by given curves.

Q: What is the area between y=x+1 and y=x^2-2?

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Q: Find Mx for the area bounded by y^2=4x and x^2=4y.

A: Given problem:- Find Mx for the area bounded by y2 =4x and x2 =4y.

Q: Find the volume of the area bounded by the curve y²=12x and the line x=3 revolved about x=3

A: Finding the volume of solid generated by given curve

Q: Write the integral used to evaluate the surface area when the given curve is rotated about the…

A: The objective is to write the integral used to evaluate the surface area when the curve is rotated…

Q: Sketch the curve y'(4– x)= x' and find the area bounded by it and x = 4. A = 12T

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Q: Find the area of the region enclosed by the curves y = x² and y = 4x by integrating with respect to…

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Q: Find the area bounded by the curves. y = x2 + 1, y= 10

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Q: Set up the definite integral that gives the area of the region. Y1 = x2 + 2x + 5 Y2 = 2x + 30 %3D…

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Q: Set up integral for the Velume aboud X- 3 X = * and Y=2

A: To set up the integral

Q: Find the area of the region bounded by y = 4x + 6, y = -3x +1 and x = 15. Leave your answer correct…

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.