Using Simpson s Rule to estimate the area of the circle (r-4), c (1, 0) with (n=4).

Q: y = 4x3 from x = 0 to x = 6 about the x-axis. The area is

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Q: 2x2+4x+4 Estimate the area of the curve y = 2 from x = 1 to x = 3 by using 5 rectangles and right…

A: We find out the area of given curve usin Rieman sum where dalX=(b-a)/n where n is the number of…

Q: Using Lagrange multiplier, find the minimum value of f(x,y) = 3x +ly on the circle x2 + y2 = 1. Give…

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Q: Find the area of the region bounded by the curves, y = -6, y = 6, the y – axis and the parabola y² –…

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Q: 3. Find the grea bounded by the corve y= the line x=4 and the x - axis

A: Given: y=x2-4, x=4, y=0 For finding areaA bounded by given curves, we first draw graph of each curve…

Q: Find the area bounded by the parabola x = 8+2y-y², the y-axis, and the lines y = -1 and y = 3.

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Q: Find the area of the region bounded by the curve y=1-x2 and the x-axis. 9 8 square units 6 square…

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Q: Find the area of the region bounded by the curve y=1– x2 and the x-axis. - 4 square units 6 square…

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Q: Find the area of the region bounded by the curve y=1- and the x-axis. 4 square units 8 square units…

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Q: The area of the region bounded by the two curves y = x and y = 64 is Square Units

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Q: 3. Find the area of the region bounded by the parabola y? = 2x – x and the line y = x – 5 by taking…

A: We have equation of parabola  y2=2x-xy2=x                                                     ……(1)…

Q: I- Find the area of the region bounded from the right by the curve x 4-y, from the left by the line…

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Q: The area of the region enclosed by the parabola y = 2 - x? and the line y = -x is :

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Q: The area of region bounded by the parabola y? = 4x and the line %3D y = 2x – 4 is -

A: We have to find the area of the region bounded by the parabola y2=4x and the line y=2x-4

Q: Find the area of the region bounded by the line y=(1/2)x and the parabola y? = 8-x.

A: Area between curves

Q: The area of the region bounded by the two curves y = r and y = 4 is Square Units

A: Given: y=x2y=4

Q: Find the area between the curve y = x2 + 9x + 14 and the x-axis from x = −2 to x = 0. (Give an exact…

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Q: Find the number bb such that the line y=b divides the region bounded by the curves y=x^2 and y=25…

A: for this what we will do we will integrate the curve from y=0 to y=b and equate it to the…

Q: Find the area of the region bounded by the curve y=1- x? and the x-axis. 9. 8 square units 6 square…

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Q: The area of the region enclosed by the parabola y = 2 – x² and the line y = -x

A: Need to find area bounded by given curves

Q: Find the area of the region. Use a graphing utility to verify your result.

A: Evaluate: ∫07xx+13dx

Q: Find the area of the propeller-shaped region enclosed by the      curves      x - y^(1/3) = 0 and x…

A: First we have to find where the curves intersect. Set x equal for those curves and solve for y.

Q: Find the area of the region bounded by the curve y=x²-1 and the line y = 24! The area is

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Q: The area of the region between the curves y = 2x2 +x and y = 3, from r= 0 to r = 2

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Q: Find the area of the region. Use a graphing utility to verify your result.

A: ∫19x x-13 dx Consider, ∫x x-13 dx Put, x-1=t⇒1-0=dtdx⇒dx=dt Therefore, ∫x x-13 dx=∫t+1 t3 dt…

Q: Find the area of the region bounded by the curves, y = -6, y = 6, the y – axis and the parabola y2 –…

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Q: area of the curve: x=y^2+8 ;x

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Q: Find the area of the region bounded by the curve y=1–÷x² and the x-axis. 9 A 4 square units (B 6…

A: SOLUTION-

Q: Find the area of the region enclosed by the parabola y = 2 - x2 and the line y = -x.

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Q: Find the area of the region bounded by the curve y =1-- 2 and the x-axis. O 8 square units square…

A: Put y=0 to obtain the x intercepts. 1-x29=0x2=9x=±3

Q: Find the area of the region bounded by the curve y=1-x2 and the x-axis. 9. 8 square units 6 square…

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Q: Find the area of the segment of a sphere formed by revolving the graph of y = V 25 - x2, 0 sx< 4,…

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Q: Find the area of the region bounded by the curve y=1--x? and the x-axis. 8 square units 4 square…

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Q: Find the area of the region bounded by the curves, y = -6, y = 6,the y – axis and the parabola y² –…

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Q: Find the area of the region enclosed by the curves y² - 5x = 9 and x - y = 1. The area of the region…

A: Please refer to the image below

Q: The area of region enclosed by the curves y=x2 - 11 and y= - x2 + 11 ( that is the shaded area in…

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Q: 4. Using vertical element, find the area bounded by the curve y(4 + x²) = 5 and the upper half of…

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Q: The area of region bounded by the parabola y? = 4x and the line y = 2x – 4 is

A: In the given question, the concept of integration is used to find the area of the common region.…

Q: Find the area of the region in the first quadrant bounded by the circle (x - 1)² + y² = 1, and the…

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Q: Calculate the circumference of a three-quarter circle with the radius r = 3 using a curve integral…

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Q: Find the area of the region bounded by the curve y = 3x -1 and the line y = 74. The area is .

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Q: Find the area of the region bounded by the parabola y = x2, the tangent line to this parabola at the…

A: Given

Q: Find the area of the region bounded by the parabola y2 = 2x-2 and the line y = x-5 using (a)…

A: We will find out the required area.

Q: Find the area of the region Cut from the Ist auadrant /2 r= 4(2-Sin 20) by the curve

A: Solve for the area

Q: Find the area of the region bounded by the curve y=1-x2 and the x-axis. 6 square units 4 square…

A: Refer Attachment for solution.

Q: The curve y = V4-x², -1<x<1, is an arc of the circle x2 + y² = 4. Find the area of the surface…

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Q: Find the area enclosed in the first quadrant that is bounded aboce by the curve y = sqrt(x) and…

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Q: Find the area of the region bounded by the curves, y = -6, y = 6, the y – axis and the parabola y² –…

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Q: The area of the region enclosed by the parabola y =2-x and the line y = – xis equal to:

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