Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. 6x + y2 = 16, x = y y 2 -2 2 4 6 8 -8 -6 -4 -2 –2 -4 - 6 -6 -8- -8 y 8 6 -8 -6 -2 2 -2 -6 -8 -6 -4 -2 2 -8 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. y = x2 − 3x,  y = 4x

A: First graph the given 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: Find the area of the region enclosed by the curves y=x+5, y^2=x, y=-1 and y=2

A: You need to draw the graph using the given details and find their intersection points. Then…

Q: y = x? ; y = 8 – x²; 4x – y + 12 = 0 || | -

A: Given curves

Q: Find the total area of the shaded region. 1.5- 1- 0.5- 0 y x=12y³ 6 x=12y² (12,1) 12 18

A: The equation of the curves are: x = 12y3 x = 12y2 The graph of the curves is To evaluate: The area…

Q: find the area of the region enclosed by the curves y=x^2-2 and y=2

A:

Q: Sketch the region enclosed by y = 6x and y= 4x. Find the area of the region.

A: given: y=6xy=4x2

Q: Sketch the region enclosed by y = 3x and y = 6x. Find the area of the region.

A:

Q: Sketch the region enclosed by y = 4x and Y = 4x. Find the area of the region.

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Q: Sketch the region enclosed by y = 7x and y = 3x". Find the area of the region.

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Q: Find the area of the unbounded shaded region. 2x y = x2 + 2 y 0.5 1

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Q: Sketch the region enclosed by y = 4x and y = 2x. Find the area of the region.

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Q: Find the area of the unbounded shaded region. 1 y = x2 + 1 y 1.0 0.5 .4 -2 2 05

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Q: Find the area of the unbounded shaded region. 1 y 1.0 0.5 2 -0.5

A: The given function is y=11+x2. Compute the area bounded by the above curve and x-axis as follows.

Q: Determine the area of the given region. The region bounded by y = x2, y = 2x2 - 4x, and y = 0

A: Given, The curves are y = x2, y = 2x2 - 4x, and y = 0 The graph of the region is as below

Q: Find the area of the shaded region. y y=x² (-2, 4) -2 A = -4 6 4 2 (1,6) |3y=2 3y=2x+16 (2, 4)…

A: The area of region R which is bounded by the curves f(x) and g(x) between the lines x=a to x=b and…

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: Sketch the region enclosed by the given curves and find the area.  y = 12 − x ² , y = x² − 6

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: Find the area of the region enclosed by the curves y=x2−2 and y=2.

A: Integration is done after calculating the intersection points of both the equations.

Q: Sketch the region enclosed by the curves y=2x, y=〖2x〗^2+x-3, then find its area.

A: The two curves are :                                    y=2xy=4x2+x-3 To determine:…

Q: Find the area of the region enclosed by x = y^2 + 2 and x = 2y+6

A: Please refer to the image below.

Q: Sketch the region enclosed by the given curves, y = 3x² and y = x² + 4. Find the area of the region.

A: Given curves are y=3x2 and y=x2+4.

Q: Determine the area of the given region. The region in the first quadrant bounded by y 4x and y =…

A: Equate y=4x and y=x25-x2 to obtain the interval of integration.…

Q: Consider the infinite region in the first quadrant bounded by thegraphs of y = 1/√x, y = 0, x = 0,…

A:

Q: Find the area enclosed by the given curves. y = 2x - x2, y = 2x - 4

A: NOTE: Refresh your page if you can't see any equations. . given functions are

Q: Determine the area of the region bounded by æ = y? – y – 6 and a = 2y+ 4.

A: Area between two carves = double integration of (dx dy) From given two carves we will find limits of…

Q: Sketch the region enclosed by y = 3x and y = 6x°. Find the area of the region.

A:

Q: Determine the area of the given region. The region bounded by y = 2x2 - 6x + 5 and y = 1

A:

Q: Calculate the area of the region that lies under thecurve and above the  x-axis. y =2x - x2

A:

Q: Find the area of the region enclosed by the curves y = x + 5, y² = = x, y = −1, and y = 2.

A:

Q: Find the area of the region bounded by y = x2 – 4, y = 2x, x = –1,x = 2. 14 3 12 14 -12

A: Proceed as shown below...

Q: Calculate the area of the region that lies under thecurve and above the  x-axis. y =1- x2

A: The graphical representation of the area is,

Q: Sketch the region enclosed by the given curves. y= 13x1, y = x² - 4 y 15 15 10 10 -2 -1 -4 Find the…

A: Given that, y = l3xl    and    y = x2-4 we have to sketch the enclosed region and also find the…

Q: Determine the area of the region enclosed by the curves y=1/x, y=1/x2, and x=9.

A:

Q: Graph the region bounded by the curves and determine the area of the region. x = y? – 2y; x = 0

A: ANSWER :

Q: Find the area of the region enclosed by the graphs of 1 1 y = %3D V1– 972' 9 = 0, x = 0, and r 6. |

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: Sketch the region enclosed by the given curves. y = 14 – x2, y = x² - 4 y y 15- 15| 10 10 5 5 -6 -6…

A: Here we have to sketch and find the area of bounded region.  The solution is following.

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

A:

Q: Find the area of the region.  y = x2 − 2x,  y = 5x

A:

Q: Sketch the region enclosed by the given curves. y = 14 - x2, y = x2 – 4 y y 15| 5- 10 -6 -4 -2 2 5…

A: Given Data: Function 1: y=14-x2 ......1 Function 2: y=x2-4 ......2 For x=0, Substitute 0 for x in…

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

A:

Q: Find the area of the region enclosed by the curves y=x' -4x and y = -2x

A: y1=x2-4x    and  y2=-2x

Q: Sketch the region bounded by the curves x – y = 2 and x + y? = 8, and then find the area of the…

A:

Q: Find the area of the region enclosed by the curves y=x-4x and y =-2x.

A:

Q: Find the area of the region enclosed by the curves: y = x' – 2x², y = 2x² – 3x

A:

Q: y=x? y=4x-x² 4 > 2 -2 -4 -1 1 3

A: Here we will find the area between the curves,

Q: Find the area of the shaded region. y 20 (1, 7e) 15 y = 7e 10 5 y = 7xe -1.0 -0.5 0.5 1.0 1.5 2.0

A: This question is related to definite integration, we will solve it using given information