Q1. Find the area of the bounded region shown in Fig 1. [8] y = x 2 y = \x+2 -2 2 Fig 1

Q: Find the area of the region bounded by the graphs of the given equations. Rou nd to 2 decimal places…

A: Given,

Q: 1.) Find the area bounded by the region x = 4y + 4 and y= x+ 2

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Q: Find the area of the region between the graphs of y = 20 - 2² and y=-2x - 15 over the interval 6 < x…

A: Please see the below picture for detailed solution.

Q: 1. Find the area of the region bounded by the parabola x = 3 + 2y – y? and the line 2x + 3y = 6.

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Q: 3. Find the area of the region bounded by y = x², y = 8 - x² and y = 4x + 12.

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Q: y = 4Vx +. 1 y = 0, x = 1, and x = 9

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Q: 1/ Find the area of the region enclosed between the curves y= 2x²+10 and y=4x+16 and ,x=-2 and x-5?…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

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Q: Find the number k > 1 such that the region bounded by the curves y = 1, y = x-2, and x = k k has…

A: Given curves are y=1 and y=x-2 and interval is x=1 to x=k

Q: 3. Find the area of the region bounded by y=x²-2x +2 and y=6-x².

A: Use area under curve

Q: 9. Find the exact area of the region bounded by y = x² – 2x + 1 and y = 7 – x

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Q: Find the aea of the region bounded by 2. given Curves

A: We have to find the area bounded by the given curves. This problem can be solved by using…

Q: I. FIND THE AREA BOUNDED BY THE FF CURVES AND LINES: 1. The loop of y = x *(4 - x) 2. у %3 бх - х, y…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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 region bounded by the graphs of the given equations. y =– x- 3' y = 0, x = 4, x…

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Q: 1.) Find the area of the region bounded by the curve ya 12 and the lines y=o, y=x, x=2.

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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: 8. Sketch the region bounded by y = between x 1 and x = 2 then find the are of this x2+x region.

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Q: 1. Find the area of the region bounded by the graphs of the equation y = x and y = x2.

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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. Find the area bounded by y = ÷x' 3x and y = -4. - %3D 3,

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Q: Find the area of the region bounded by the graphs of the given equations.   y = 3x + 18 , y = x 2.

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Q: 1. Find the area of the region bounded by y^2=8x and y=x

A: Region bounded by these two curves will be given as

Q: 3. a. Find the area of the region bounded by y= 2x2 + 10, y = 4x + 16, x = -4 and x = 5.

A: As per bartleby guidelines we only give first question answer.

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

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Q: Find the area of the region bounded by the graphs of y2=1-x and 2y= x+2.

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Q: 1. Find the area of the region bounded by the given curves. a) y = 2x° - x² - 5x + 4, y= - x² +3x…

A: We have to find the bounded area by curves

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: Find the area of the region bounded by y = -4x + 9, y = 2x? – 11x + 9, and the lines x = -2 and x =…

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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: 2. Find the area of the region bounded by x=y², x=-1, y = 2 and y = -1.

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Q: Consider the shaded region R enclosed by the curve y = 6x – x² and the line y =-x as shown in Figure…

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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: Question 4. Compute the Area of the region bounded by the given curves. Y1 = 3x- x2 and Yz = 3 -x

A: Given: y=3x-x2, y=3-x we finding area region bounded by given curve, first we draw graph of both…

Q: 6. Sketch the region bounded by the graphs of y = 2 – x², and : and find the area of this region by…

A: For the Cartesian curves y1=f1(x) and y2=f2(x) where y2&gt;y1 in the limits x=a to x=b, the area…

Q: (4, 16) 10 Find the area of the region bounded by the graphs of y = 4x y = x2 and y = 4x. y = x2…

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Q: Find the area of the region bounded by the graphs of the given equations. v= x+2; y= x² 13 O 35 2 o…

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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: 2. Find the area of the region bounded by x = y² - 4 and x = 3y.

A: Given query is to find the area of the region bounded by x=y2-4 and x=3y. The rule for integration…

Q: 1.) Find the area of the region bounded by the parabola y = 2x and the line y = x - 4

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Q: The exact area of the region bounded by the graphs of y = x² + 2, and the x – axis from r = -1 to x…

A: Given that:

Q: Find the area of the region bounded by the graph of y = 2x2 − 3x + 2 the x-axis, and the vertical…

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

A: Find area of region.

Q: 6. Determine the area of the region bounded by x = −y²+ 10 and x = (y 2)²

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Q: 9:(a): Find the area boundedby the curve y =-x, the line y = x, and the line y = 2.

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Q: Find the area of the region bounded by the curve y = x³ – 2x² – x + 2 and the x-axis for -1 <x<2, as…

A: We will solve this question by using double integration. where,  y=0 and y=x3-2x2-x+2 and x lies…

Q: Find the area of the region bounded by the graphs of the given equations. y = 1-x, y = 1-4x

A: Given: Equations: y = 1-x2, y = 1-4x To Find: Area of the region bounded by the graph of the given…

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…