1) Sketch the region bounded by y = 1– x and y = x2 – x and find the area of this region. 2) Sketch the region bounded by y = x +2 and y = x2 and find the area of this region.

Q: Sketch the region bounded by the graphs of the equations f(x) = − 4/x3,         y = 0, x = −3, x =…

A: The graphical representation of the region bounded by the above equations is,

Q: Sketch the region bounded by the graphs of the equations y = −x2 + 3x + 1, y = −x + 1 and find the…

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Q: Sketch the region bounded by the graphs of the equations f(y) = y2 + 1,        g( y) = 0, y = −1, y…

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Q: Sketch the region bounded by the graphs of the equations and find the ar ea of the region (a) y = x³…

A: Question-(B) . NOTE: Refresh your page if you can't see any equations. . here we have…

Q: Find the number k> 0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

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Q: 4. Determine the area of the region enclosed by y = sinx, y = cosx, x= π/2, and the y-axis.

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Q: Find b such that the line y = b divides the region bounded by the graphs of the y = 9 − |x| and y =…

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Q: Sketch and shade the region y = x² – 1, hence find the total area between the given curve and the…

A: The standard form of a parabolic function is where (h, k) is the vertex. This standard form is also…

Q: Sketch the region enclosed by the given curves. y- Vx- 3, x - y - 3

A: To find the area of enclosed region of the given curves, first we find the intersecting points of…

Q: Sketch the region bounded by the given curves, then find its area. 2. x = y2, x = y +6

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Q: Sketch the region enclosed by the given curves andfind its area. y = x2 ,y = 4x - x2

A: Let us find the point of intersection by equating the two curves  x2=4x-x2 x2+x2-4x=0 2x2-4x=0…

Q: Sketch the region bounded by the graphs of the equations g(x) = 4 / (2 − x),     y = 4, x = 0and…

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Q: Find the area bounded by the region y = 2x + 2 and the lines y = 1, y = 2

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Q: . Sketch the region enclosed by y= 9-x and y = 0 and calculate its area. 14.

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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: 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 the unbounded shaded region. 2x y = x2 + 5 y 1.0 0.8 0.6 0.4 0.2 1 3 4 In 6 2.

A: To find the area of the shaded region. Note that the area is bounded by the curves y=2xx2+5,…

Q: The area of the region bounded by y=x2+2, y=−x, x=0 and x=1 is

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

A: Area between curves

Q: 3. Sketch the region enclosed by the curves/lines x = y, y =÷, x = 3 and find its area.

A: Given equations: x=y……1y=1x……2x=3……3

Q: Sketch the region enclosed by y = 4x and y 2x²!. Decide whether to integrate with respect to xlor y,…

A: In this question we have to find area of the region.

Q: Find the area of the region in the plane bounded by the circles x2+y2  = 1, x2 + y2 = 2 and the…

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Q: Sketch the region bounded by the graphs of 6x+4y=14 and 4y+6x-2=0, then find its area.

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Q: 2.2. Sketch the region enclosed by y = VI-1, 1- y = 1 and calculate its area.

A: Area between the curves

Q: Sketch and shade the region bounded by the graphs of X = y+1 and x + 2y = 4 and find the area of…

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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 y = 2 sin(x), y = 2 csc²(x), x = 7 and x = 4, and compute…

A: The given curves are: y=2 sin x,       y=2csc2x,       x=π4      and      x=3π4

Q: Sketch the region enclosed by the curves y = x2- 4 and y = 3x − 4, and find its area.

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Q: 2) Find the area of the region bounded by two parabolas x = y2 - 5y, and x=3y - y? . Specify the…

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Q: Sketch the region bounded by the graphs of 6x+4y= 14 and 4y+6x-2=0, then find its area.

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Q: Sketch the region enclosed by the given curves andfind its area.   y = |x| ,    y = x2- 2

A: Given curve  y=x2-2 and y=x When the value of x<0 then, y=-x and and when x>0 then y=0. Solve…

Q: Find the area of the region bounded by y²-x=0 and y²+x=2₁

A: Find the area of the region bounded by y^-x=0 and y^+x=2

Q: Sketch the region bounded by the graphs of y%3= 1 and y=D4-3x, then find its area.

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Q: Sketch the region enclosed by the given curves andfind its area.       y =|x|     , y =  x2 -2

A: Definition used -      Area between two curves -       If two curves f(x) and g(x) are…

Q: Sketch the region and find its area. 36 and y 1 9+x2 The region bounded by y= -

A: Given     y=369+x2,  y=1

Q: Sketch the region bounded by the graphs of the equations f(x) = 10 / x ,         x = 0, y = 2, y =…

A: Sketch the region bounded by the curves y=10x,  x=0,  y=2   and  y=10 as shown below.

Q: Find the area of the region bounded by y = 5-x2, y 2x + 2, y=-x-1, a. in terms of x b. in terms of y…

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

A: Given, y2=4-xx=0

Q: Find the area of the region bounded by the graphs of y = x2, y= x² – 2r +3 and y= 2x- 1.

A: Given curve is y=x2, y=x2−2x+3 and y=2x-1 we have to find the area of the region bounded by the…

Q: Sketch the region enclosed by the curves y = x2  and y=4x-x2 and find its area.

A: Given: y=x2 and y=4x-x2

Q: Sketch the region enclosed by the given curves andfind its area. y = 12- x 2   , y = x2 - 6

A: Given curves are y=12-x2y=x2-6

Q: Find the area of the region bounded by the graphs of the equations.

A: Find area of region.

Q: Sketch the region bounded by the graphs of the equations f(y) = y2,           g(y) = y + 2  and find…

A: Consider the provided equations,  fy=y2   and   gy=y+2 Sketch the region bounded by the graphs of…

Q: ) Find the number k>0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

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Q: Find the area A(R) of the region R bounded by y = 2x + 4, y = 2-3x and y=-x.

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Q: define the region bounded by y = 0, y = 4√x, y = 24 − 2x, and y = x − 4 using vertical and…

A: Given curves are y=0, y=4x, y=24-2x and y=x-4. We have to define the region bounded by the given…

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: y=√x, x = 4, and the x-axis.

A: Consider the given function y=xand the x-axis

Q: Find the area of the region enclosed by the curve y=x2-2 and by the line y BO 2. y=x²-2 y=2 Co

A: The equation of the curve is:                                            y=x2-2  The equation of the…