Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. x = 5 - 5y?, x = 5y2 – 5 y O Save y -1.0 -0.5 1.0 -4 -2 2 4 -0.5 -1.0 1.0| 4 -4 -2 2 4 -0,5 -0,5 -1.0 Find the area of the region.

Q: Find the area of the region enclosed by the given curves. y = 2√√√√x, y = x - 3,x=0, x=4

A: Given y=2x, y=x-3 x=0, x=4To find area of region enclosed between two curves:

Q: Find the area of the region enclosed by the given curves y = x^2 y = 32/ x^2 + 4

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Q: In the given question , sketch the region bounded by the graphs ofthe equations and find the area of…

A:

Q: Sketch the region enclosed by the given curves and find its area. (a) 4x + y2 = 12, y = x (b) y = 3x…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: (10,00 Puanlar) 6- Find the area of the region bounded by the curves y – 3x = 4 and 3x- 2y = 11. 124…

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Q: FIND THE AREA OF THE REGION BOUNDED BY THE FOLLOWING CURVES: 1. y = x(x-3), x = 0, x = 5 2. y =…

A: Given

Q: Determine the area of the given region. y = cos x У 1.5- 1.0 0.5 х л л -0.5-

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Q: Sketch the region enclosed by the given curves. y = 17xl, y = x2 - 8 y 40 4아 20 20 ma x -20 -40 50…

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Q: Find the area of the region under the given curve from 1 to 2. 15 y = x3 + 4x

A: We have to find area under the region from 1 to 2

Q: Find the area with respect to y of the region bounded by x = y² + 2 , x = 0 , y =– 1, and y = 2. |

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Q: 6.(. Find the area of the region enclosed by the curves y = x² +1 and y = x +3.

A: I am solving this in step 2

Q: Find the area of the unbounded shaded region. y = ex/5 у 2.0 1.5 1.0

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Q: Find the area of the region bounded by the given curves. y = √x,  y= -3√x.  y= x- 2

A: It is given,Function 1: y= -3x1  OR x1 = y29                        (1)Function 2: y= x2- 2   OR x2…

Q: 1. Find the area of the region enclosed by the given curves. a) y - x² = 2x and x + 4 = y

A:

Q: Sketch the region enclosed by the given curves. y = |2x|, y = x² - 3 y y 8 8 6 6 4 4 2 2 X -4 2 -4…

A: Let's find.

Q: y x-3' y = 0, x = 4, аnd x = 3 + e

A:

Q: Find the area of the region bounded by the given curves. c.)   y=4x-4x2, y=0, x=1, x=3     Ans.…

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Q: Sketch the region enclosed by the given curves and calculate its area. y= square root of x, y=0, x=4

A: Given,

Q: (4) Find the area of the region in the first quadrant bounded above by y = √x - 1 and y = x - 3.

A:

Q: Find the area enclosed by the given curves. 20) y = 2x - x2, y = 2x - 4 %3D

A: We first sketch the region using a graphing calculator

Q: Sketch the region bounded by the graphs of the given equations and find the area of that region.…

A: Area between curves

Q: Find the area of the given region y = tanh 2x

A: Given curve and figure: y = tanh 2x

Q: 9. Find the area of the region bounded by one loop of the curve x? = y*(1– y2)

A: Use substitution method  And sin2t=2sintcost , sin²2t=(1-cos4t)/2

Q: 5. Calculate the area of the region enclosed by the graphs of y = 2r- r and y = 0.

A: We first find where they meet Plug y=0 in y=2x-x2 and solve for x

Q: Find the area of the shaded region. y y= 5 x- x (3, 6) 4 2 y= 2 x X -1 1 2 3 4 5 CO

A:

Q: Sketch the region enclosed by the given curves. x - 6y, x- 20 + y2 VAVA -3 -2 -1 2 -10 15 -25 -15…

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Q: Sketch the region enclosed by the given curves and find its area: y = (x – 3)2, y = x + 3.

A:

Q: Sketch the region enclosed by the given curves. y = x* - 15x?, y = x? 20 4 40 -6 -2 6 2 -20 20 -6 -4…

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Q: 2. Find the area of the region enclosed by æ + y? = 0 and ¤+3y² = 2.

A:

Q: Find the area of the region bounded by the following curves y = 3 - x and y = -4x. %3D %3D

A: y2=3-x  and y2=-4xSolve both the equations:3-x=-4x3x=-3x=-1Substitute x=-1 in y2=-4xy2=-4(-1)y=±2The…

Q: 3. Find the area of the region enclosed by the two curves y = x² and y = -2x² + 3x.

A:

Q: 2/ determine the area of the region enclosed between the curves x- and y=x-1? ans/ 18

A: Given problem is :

Q: Sketch the region enclosed by the given curves and find the area. x = 2y ² ,  x = 4 + y

A: Sketch the region and integrate in y variable.

Q: Find the area of the region enclosed by the given curves. 1. y = e*, y = x² – 1, x = 0, x = 2.

A:

Q: 3. Find the area of the region enclosed by the given curves. y = Vx + 2, 1 y = x = 0, x = 2 %3| x…

A: Recall: If f(x) and g(x) are two continuous function and f(x) ≥g(x) on the closed interval [a,b] ,…

Q: ) Sketch the region enclosed by the given curves and find its area. y = -x² +4x, y=x² – 2x

A:

Q: Find the area of the region bounded by the curve y?=4x and the lines x = 1 and x = 4.

A:

Q: 5. Find the area of the region bounded by y = e", y = e¬¤ and x = 2

A: We have to find the area of the region

Q: Find the area of the region between the following curves by integrating with respect to y. If…

A:

Q: Find the area of the region under the curve y = 6x? + 4x + 3 from x = -1 to x = 2.

A: integration is the process of finding the anti-derivative function of the given function. The…

Q: Determine the area of the region between the x-axis and the graph of the curv -1 from x- 0 to x- 4.…

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

Q: Graph the region bounded by the curves y = e%z z, y = 2, x = 0, and x = 2 and find the area of this…

A:

Q: Find the area of the region described in the following The region bounded by y = 24 Vx and y = 3x?

A: Given, y=24x & y=3x2 To find limits of x we have, y=24x =3x2⇒24x =3x2⇒8x=x2 Now squaring on the…

Q: etch the region enclosed by y = x²y = √√x,x = 0,x = 1 and find its area.

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Q: Sketch the region bounded by the graphs of the equations and find the area of the region . y = ex, y…

A: The diagrammatic representation of the area is,

Q: Determine the area of the region between the two curves in the given figure by integrating over the…

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Q: Find the area of the region in the first quadrant bounded above by y = -x² + 6 and below by y = x. 4…

A: Solution of given question is written in below steps.

Q: 2. Find the total area of the region between the curve and the x-axis. a. y=2-x; 0≤x≤3 b. y=3x²-3;…

A: Topic:- application of integration     Note :- as per our guideline if more than three subparts…

Q: Find the area of the region that lies inside the first curve and outside the second curve. r =…

A: