Sketch the region bounded by the graphs of the equations (include representative rectangle) f (y) = y2 + 1, g (y) = 0 (y-axis), y = −1, y = 2 and find the area of the region.

Q: Sketch the region enclosed by the curves and find its area. y = x, y=3x, y= -x + 2 AREA =

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 6x² ,y = 6 V5,x = and.x Enter the…

A: topic- area between curves

Q: Find the area of the region bounded by the graphs of the equations. y = Vx -1, y = 2, y = 0 , x = 0…

A: We have to find the of the  region bounded by the given equations.

Q: Sketch the region bounded by the graphs of the equations and find the area of the region x = y2 + 1,…

A: Given Data The first equation is x=y²+1. The second equation is x=y+3.   Let, f(x)= y²+1 g(x)=y+3…

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

A: Calculus Question

Q: Sketch the region enclosed by the curves and find its area. y = 7x ,y = 7Vx, x = - and x = 1 Enter…

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

A: Given y = csc(x), y=2, π/6 ≤ x ≤ 5π/6

Q: Sketch the region bounded by the graphs of the equations and find the area of the region y = 1/(x2 +…

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Q: Sketch the region enclosed by the curves and find its area. y = 7x2 .y = 7 Vx,x = 1 and x = Enter…

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Q: Find the area of the region bounded by the graphs of the equations. y = 8 + Vx, x = 0, x = 8, y = 0

A: Let's plot the graph : consider a vertical rectangle. So limits : y → 0 to (8 + x3 )x→ 0 to 8

Q: Find the area of the region bounded by the graphs of the equations. x = 1, x = e, y = 0 y

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Q: Sketch the region bounded by the graph of the equations and find the area of the region. 1 y = , y =…

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Q: Sketch the region bounded by the graph of the equations and find the area of the region. x = y² -…

A: Solution

Q: Find the area of the region bounded by the graphs of the equations. y = 2 + Vx, x = 0, x = 8, y = 0

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 4x2 ,y = 4 x, x = -andx = 1 Enter…

A: So, the area will be                    Area=∫1414x-4x2dx       =∫1414xdx-∫1414x2dx       =73-2116…

Q: Sketch the region bounded by the given curves, then find its area. y = 12 - 3x^2, y = 4 - x^2

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 9x² ,y = 9 Vx,x = - and x = 1…

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Q: Calculate the total area of the region described. Do not count the area beneath the X axis as…

A: Given: Bounded by the curve.y=1-x2And the lines x=-1 and x=2

Q: Sketch the region bounded by the graphs of the equations y = x2 − 1, y = −x + 2, x = 0, x = 1 and…

A: Sketch the region bounded by the graphs of the equations y=x2-1,y=-x+2,x=0,x=1 as shown below.

Q: Find the area of region bounded by the graphs of the equations. 1. y = 5x² + 2, x = 0, x = 2, y = 0

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Q: Sketch the region bounded by the curves x = 3y2 and x = 12y - y2 - 5 aand find its area.

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 6x² ,y = 6/x, x =-andx = 1 Enter…

A: The region enclosed by the curves,y=6x2, y=6x, x=14, x=1

Q: Sketch the region enclosed by the curves and find its area y = 2 – x² and y = x

A: the given curves are y=2-x2 and y=x. To find: the area of the region bounded by the given  curves.…

Q: Sketch the region bounded by the graphs of the equations and find the area of the region. y = 1/x2,…

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Q: Sketch the region enclose by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Sketch the region enclosed by the curves and find its area. y = 3r° ,y = 3ñx =and x = 1 = 3x² ,y = 3…

A: Topic = Application of integration  Area = 49 / 64

Q: Sketch the region bounded by the graphs of the equations and find the area of the region. x = y2 −…

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

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Q: Sketch the region enclosed by the curves and find its area. y = x, y = 3x, y = -x + 4

A: Given; y=x, y=3x, y=-x+4   Now find the point of intersection between the line y=-x+4 & y=3x.…

Q: Sketch the region enclosed by the curves y = - 1+x2 and y = 5 – |x|. Find its area.

A: given curves are                                        y=-31+x2 and y=5-|x|

Q: Sketch the region enclosed by the curves and find its area. y = x, y= 4x, y= -x + 4 AREA

A: Topic:- application of integration

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

A: The region is bounded by y=x, y=2x, y=-x+4

Q: Sketch the region bounded by the graphs of the equations f(y)=y / (√16 − y2) , g( y) = 0, y = 3 and…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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

A: We sketch the region using a graphing calculator

Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 V1 - 81x2' NOTE: Enter the exact…

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Q: Sketch the region bounded by the graphs of the equations and find the area of the region: æ = f (y)…

A: Use curve tracing to find the coordinates then find area.

Q: Sketch the region bounded by the curve y = x(x – 1) and the linear equatio x at (-1,2). Calculate…

A: Given: y=x(x-1)

Q: Sketch the entire region bounded between the curves, x=y^2 and y^2 =x-4. Determine their…

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Q: Find the area of the region bounded by the graphs of the equations. y = 9 + Vx, x = 0, x = 8, y = 0

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Q: Sketch the region enclose by y=x2-9x+21 and y = -x2+11x-27. Decide whether to integrate with respect…

A: Given data is : y=x2-9x+21 and y=-x2+11x-27  To sketch the region.

Q: Find b such that the line y = b divides the region bounded by the graphs of the equations into two…

A: Given: y = 9 - x2,  y = 0 To find: The value of b such that the line y = b divides the region…

Q: Sketch the region bounded by x= 4– y² and x- y=-2. Find the area of the bounded region

A: Given:x=4-y2,x-y=-2

Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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Q: Sketch the region bounded by the graph of the equations and find the area of the region. 1 y = y =…

A: To sketch and find the area of the region bounded by the below equations. y=1x2y=0x=1x=5

Q: Sketch the region enclosed by the curves and find its area. y = x, y = 5x, y = -x +4 AREA =

A: Given that     y = x , y = 5x , y = -x+4 .

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

A: Here, we need to find the area of the region bounded by the graphs y=x, y=2-x, y=0

Q: The region is bounded by the curve y = 4x – x², y = 4 and the y-axis.

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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: Sketch the region bounded by the graphs of the equations and find its area. y =x² +1; y=x+1

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