Find the area of the region enclosed by the curves y =x-4x and y = -x+2x. The area of the region enclosed by the curves is (Type an integer or a simplified fraction.)

Q: Find the area of the region enclosed by y = 4 / x, y = 4x and x=2

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Q: Find the total area of the region between the curve and the x-axis. y= 2x-x2; 0sxs2

A: Explanation: Given curve is: y=2x-x2 Here x is from 0 to 2 To find the total area between the curve…

Q: Find the area of the region enclosed by the graphs of y^2=x+9 and y^2=9-x

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Q: Find the area of the region between y = 5x“ and y = x- + 6.

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Q: Find the area of the region bounded by the graphs ofy = x² - 4 and y =r+2. Give your answer as a…

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Q: Find the area of the region below y = x² + x – 2 and above y = 6 for 3 < x < 6.

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Q: 6. Find the total area between the region and the x-axis y = -x² – 2, –3 < x < 2 %3D

A: Find the zeroes of the function as follows. y=0-x2-2x=0x-x-2=0x=0, x=-2  The zeros divide the…

Q: Find the area of the region between y² = x and x = y +2.

A: Given,  y2 = x   and  x = y+2  We have to find the area of region between y2 = x   and  x = y+2

Q: Sketch the region and find the area of the region bounded by y = -x2 + 9 and the x-axis.

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Q: Find the area of the region below y = x² + 2x 4 and above y = 3 for 2 < x < 5. %3D Area

A: Recall:            Area=  ∫abf(x)-g(x)dx  We have, f(x)=x2+2x-4, g(x)=3, a=2, b=5

Q: Find the area of the shaded region bounded by y 6x and y = xV64 – x² in the figure.

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Q: Determine the area of the region enclosed by x=12y^2−3 and y=x−1

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Q: Find the area of the region enclosed by the graphs of y = x² – 57, y = 519 – x³, and x = 0. (Use…

A: We have to find the area between the given curves.   As per our guidelines we can solve only one…

Q: Find the area of the shaded region. ¡y = x² +4 y y = x 4 -1 3 Enter the exact answer as an improper…

A: The objective is to find the area of the shaded region.

Q: Find the area of the region below y = x² + x – 4 and above y = 6 for 3 < x < 6.

A: • First, we need to sketch the given parabola and identify the region whose area is to be found.…

Q: Find the area of the region enclosed by these graphs and the vertical lines x = 0 and x = 3. square…

A: The given function is, fx=-x2+2x+4 and gx=-x+4 To sketch the function. To find the area of the…

Q: Compute the area of the region enclosed by y=3-2x-x2   and the x-axis.

A: First we find the points where it cuts the x-axis. For this, solve the given curve by equating it to…

Q: Find the total area between the region and the x- axis. y = x3 – 4x ; -2<x<2 -

A: Given: y=x3-4x The graph of the given function is,

Q: Get the area of the region bounded by y=4−x2 and the x-axis using inscribed rectangles. Sketch the…

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Q: Find area of the region under the curve and above the x-axis for  2≤ x ≤4.…

A: To determine :  The area of the region under the curve y = 8x2 ex -1x2 above the x - axis for…

Q: 4. Find the area of the region enclosed by y = –x² + 6, y = x, y = 5x, and x 0.

A: Area bounded by the region y=-x2+6, y=x and y=5xFirst we sketch the region

Q: Find the area of the region below y= x^2- 4x+11 and above y=6 for 3≤X≤5

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Q: Find the total area of the region between the x-axis and the graph. y = 2x° – 6x + 4x, 0sxs2 3 2

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Q: Find the area of the region bounded by the graphs of y2 = 5 – x and y2 = 4x.

A: Given y2=5-xy2=4x

Q: Find the area of the region bounded by the graphs of y2 = 4x and the line 2x – y = 12

A: answer is in next step

Q: Find the area of the region bounded by y = (1/8)(-x² + 6x +7) and y = -6. Answer:

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Q: Find the total area of the shaded regions enclosed by y = 2x° - x2 - 5x and y = - x² + 3x. Ay…

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Q: Find the area of the region below y = x2 – 4x + 12 and above y = 4 for 2 < x < 5. Area =

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Q: Find the total area of the region between the curve and the x-axis. 9) y = (x + 4)3; 0 <x<3

A: The Area Under a curve The area under the curve between two points can be found by a definite…

Q: Find the area of the region enclosed by the graphs of 1 , y = 0, x = 0, and x = 8 - VI – 16x2' NOTE:…

A: Given region is y=1/√(1-16x2),y=0,x=0 and x=1/8

Q: b) Find the total area between the region and the x- axis. y= x – 4x ; -2<x<2

A: Given equation is                    y=x4-4x

Q: Find the area of the region enclosed by the graphs of 1 1 y = 0, x = 0, and x = 8. || /1 – 16x²…

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Q: Find the area of the region enclosed by y2 – 4x = 4 and 4x – y = 16 %3D

A: We need to find the area of the region bounded by y2-4x=4  and  4x-y=16. So first we need to sketch…

Q: Find the area of the region between y = 6x² and y = x² + 7.

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Q: Find the area of the region enclosed by the graphs of x = y³ - 14y and y + 3x = 0.

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Q: Find the area of the bounded region enclosed by the curves y =x² - 4x and y = -x² + 2x. ..... The…

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Q: Find the area of the region, enclosed by the cureK = 4 – x', -2<x<2

A: The area(A) bounded by the cartesian curve y=f(x) and the x-axis between the limits x=a and x=b…

Q: find the total area between the region and thex-axis. y = -x2 - 2x, -3 ≤ x ≤ 2

A: The region and the x-axis given is y = -x2 - 2x, -3 ≤ x ≤ 2. To find the area  between the region…

Q: Find the area of the shaded region. Enter your answer as a reduced fraction. (-2, 3) (-2,-1)…

A: Given:              sx=3-x2tx=-x+1 point of intersection of two curves let:         y=3-x2…

Q: Find the area of the shaded region. 30- f(x) = x - 4x +9x, g(x) = 2x+ 16 (-1,14 (2,20) -10- .....…

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Q: Find the area of the shaded region. f(x) = x* - 8x + 21x, g(x) = 6x + 36 (3,54) (-1,30 by -10

A: GIvenf(x)=x4-8x3+21x2g(x)=6x+36To find the area of shaded region from given figure.

Q: Find the area of the shaded region. f(x) = x – 8x° + 21x, g(x) = 20x + 50 3

A: Intersection…

Q: Find the area of the region enclosed by these graphs and the vertical lines x = -1 and x = 0. |…

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Q: Find the area of the region bounded above by y = -x² + 4 and below by y = x - + 54-324 2,345 ມາຜ່າ !

A: Given y=-x2+4 and y=x-2

Q: Give the area of the region enclosed by y=2- x and y=x²

A: To find the intersection of both graphs, set the equations equal to each other and solve for x

Q: Find the area of the region between y2=x and x=y+2

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given by…

Q: Find the area of the region enclosed by y = 4 – x², y = -x+ 2, x = -2, and x = 3.

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Q: Find the area of the region enclosed by x=y³ and x=√y-6

A: Given: x=y3, x=y-6 For finding areaA of the region enclosed by given curves, we draw graph of both…

Q: Find the area of the region. f(x) = 25 – x2 %3D

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Q: Find the area of the region that is enclosed between y = 9x² – x° + x and y = x² + 16x.

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