Find the area of the region which is bounded by y = sin x - 4, y = 4x, y-axis and x = 4. Leave your answer correct to 2 decimal places.

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A: We need to Find the area of the region between y = x sinx and y = x for 0 ≤ x ≤ π/2.

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Q: Find the equation of the vertical line that divides the area of the region R bounded by 1 y = 20x2…

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A: The region enclosed by the curves y=4cosx and y=4cos2x for  0≤x≤π

Q: Find the area of the region bounded by the given curves. y = sin2(x),    y = sin3(x),    0 ≤ x ≤ π

A: Given: Find the area of the region bounded by the given curves. y = sin2(x), y = sin3(x),    0 ≤ x ≤…

Q: What is the area bounded by the curve x^2 = -9y and the line y + 1 = 0?

A: Solution:Givenx2=-9yy+1=0To find the area bounded by the curveFormula:Area=∫abf(x)-g(x)dx

Q: Find the area of the bounded region by the equation y= x+4 , Y - -4 y- ayis and the x-axir.

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Q: Find the area bounded by the curve x y2 +2y and the line z = 3. %3D

A: Given :                curve x = y2 + 2y and the line is x = 3 To find :               The area…

Q: Find the area between the two curves on [2,3]. y = ex y = (1/x)

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Q: π Find the area of the region enclosed by y = sin¯¹(x), y = and the y-axis without using integration…

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Q: . The region is bounded by X = y² and x = 4(y − 2)² Using horizontal rectangles, set – up the…

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Q: What is the area of the region between the graps y = x – 1 and line y = -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: Find the area bounded by the curve 2x2 + 4x + y – 0 and the line y + x = 0

A: To find the area of region bounded by the given curves.

Q: Find the area of the region bounded by y = 10x + 4, y = -10x + 3 and x = 14. Leave your answer…

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Q: Sketch the region whose area is given by the definite integral. 8. x dx

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Q: If we want to find the area between the curves x = −y 2 + 1 and x = y 2 − 1, shall we integrate with…

A: Given curves are x=-y2+1 and x=y2-1

Q: Find the area bounded by the curves y= sin 2x and y=cos 2x in 0,

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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: Find the area bounded by y = 3x² - 3 and y = 3. Leave your answer %3D correct to 2 decimal places.

A: Given  y = 3x2  -3  and y = 3 To find : Area bounded.

Q: 1. Find the area of the region enclosed by the line x = 2y and the curve x = y - y?

A: We will find out the required area.

Q: Find the area of the region which is bounded by y = sin x - 3, y = 3x, y-axis and x = 2. Leave your…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the area of the region bounded by the graphs of the equations y = sin r, y = sin' a, x = 0 and…

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Q: What is the area of the region between X |y=x2–2x−3 and the x-axis from x=0 to x=4?

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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: Find the area of the region bounded by the 3 graphs of the equations y = sin x, y = sin° x, 0, and x…

A: Consider the given curves. Equate (1) and (2) and calculate the x where (1) and (2) are equal.

Q: Find the area of the region which is bounded by y = sin x - 4, y = 4x, y-axis and x = 3. Leave your…

A: Area bounded by the given curves :If f(x) and g(x) be two continuous function on a,b and f(x) ≥g(x)…

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

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Q: What is the area bounded by the curve y^2 = x and the line x - 4 = 0?

A: We have to determine area of bounded

Q: Find the area of the region by bounded by y = 4x and y = 2x – 4 by integrating with respect to y.…

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Q: Find area of the region bounded by x² + y² = 5², 7y = -3x and 19y = 4x where y > 0. Leave your…

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Q: Find the area between the curve x = y2 and the line x = y + 2 Solution : * with respect to x:

A: Given curves x=y2. . . . 1x=y+2. . . . .2 Equating (1) and (2) y2=y+2y2-y-2=0y-2y+1=0y=2,-1

Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

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Q: Find the area between the curves: y=x^3−10x^2+21xx and y=−x^3+10x^2−21x

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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: Determine the area of the region bounded by y = xvx2 + 1, y = 1 e 2x, x = -3 and the y-axis.

A: First draw the region defined by these curves. If the region is bounded, then use the area under the…

Q: Evaluate the double integral that will solve for the area of the region bounded by y = cos(x) + 5, y…

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Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.  show full solution

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Q: Find the area of the region which is bounded by y = sin x - 2, y = 4x, y-axis and x = 2. Leave your…

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Q: Sketch the region whose area is given by the definite integral. 25 y 2 0.5 2.5 yA.5 y 2 2x

A: Let fx=2-x=2+x        -2≤x≤02-x          0≤x≤2 Now for -2≤x≤0 Graph of fx=2+x is a line segment with…

Q: Determine the area bounded by the curves y = -r - 18z + 40 and y = (x- 2)2.

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Q: Find the area bounded by the curve y^2 + x - 4y = 5 and the y-axis. Input only the numerical value…

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Q: Find the area of the region bounded by the given curves. y = 6x2 In(x), y = 24 In(x)

A: Graph them using a graphing calculator. The graphs meet at x=1 and x=2 Blue curve is y=24ln(x) Red…

Q: Find the area of the region bounded by y = 7x + 7, y = -9x + 4 and x = 15. Leave your answer correct…

A: The solution of the problem is given in the next steps.

Q: Find area of the region bounded by x² + y² = 42, 9y = -10x and 14y 5x where y > 0. Leave your answer…

A: Given: The area of the region bounded by the curves are x2+y2=42, 9y=-10x, 14y=5x where y≥0 To find…

Q: Find the area of the region bounded by the graphs of the equations. y = Vx(4 - x), y = 0

A: Sketch the area of the region bounded by the graphs of the equations y=x4-x and  y=0 as shown below.…

Q: Find the area bounded by the curves y - x² = -3,x+y = 3 and y = 0.5x.

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Q: Find the area of the region bounded by the graphs of the given equations. y= 3x+4, y=x?

A: Given, y =3x+4  and  y = x2  We have to area of region bounded by graphs of the y =3x+4 and y = x2

Q: By using horizontal element, the definite integral representing the area of the region bounded by x…

A: To calculate the area of the region first obtain the bounds of the region. This can be done by…