Find the area of the trapezoid that is the region bounded by the lines x = 1 and x = 3, the x axis, and the line 2x + y = 8. Take an inscribed rectangle. Find the area of the region bounded by f (x) = 4 – x2, the x-axis, and the vertical lines x = 1 and x = 2. 0 and Find the area under the line y = x, x - axis, and the lines x = x = 1.

Q: Find the areas of the regions enclosed by the lines and curves x - y2/3 = 0 and x + y4 = 2

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Q: Find the area bounded by the curves 5y^2 = 16x and the curve y^2 = 8x – 24

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Q: Find the areas of the regions enclosed by the curves x + y2 = 3 and 4x + y2 = 0

A: Given The equation of curve is  x + y2 = 3 and 4x + y2 = 0  To solve both equation for x . x = 3 -…

Q: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

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Q: 2. Find the area of the region enclosed by the parabola y = 2x² and the line y = -x-1

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Q: Find the area of a parallelogram bounded by the x-axis, the line g(x) = 2, the line f(x) = 3x, and…

A: To Determine: Find the area of a parallelogram bounded by the x-axis, the line g(x) = 2, the line…

Q: he area bounded by y^2=4x and the line 4x-3y-4=0.

A: In this question, the concept of Integration is applied to determine the area bounded by two curves.…

Q: Find the area of the region bounded by the curve y2=4xr and the lines x = 1 and x = 4. 24 square…

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Q: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

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Q: Find the areas of the regions enclosed by the lines and curves x - y2 = 0 and x + 2y2 = 3

A: Given Data The first equation of the region is x-y2=0. The second equation of the region is x+2y2=3.…

Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

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Q: Find the area bounded by the ff. curves and lines: a. x^2 - y^2= 9 and y= 2x - 6

A: x2-y2=9  &  y=2x-6 The diagrammatic representation of the area is,

Q: Find the area in the first quadrant bounded by the cubic 3x - x^3 and the lines x = 0 and y = 2.

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Q: Find the number  b such that the line  y = b divides theregion bounded by the curves y = x 2  and y…

A: Given Data The equation of curve is y=x2. The equation of line is y=4. The equation of another line…

Q: In the given question  find b such that the line y b divides the region bounded by the graphs of the…

A: Given :           Equation of curves as :                  y = 9 - x , y = 0 Formula :           A =…

Q: Find the three areas of the region bounded by y= 2x2+10, y=4x+16 and the lines x=-2 and x=5.

A: Given : y = 2x2 + 10, y = 4x + 16 and the lines x = -2 and x = 5.   To find the three areas.

Q: Find the region bounded by the parabola x = y - 8 and the line y = x - 12. O 163.5 121.5 103.5…

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Q: ) Find the area of the region bounded by the lines ( yı=x² ) & (y2=2-x) for x<0.

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Q: Find the area of the region bounded by the graph of f(x) = x3, the x-axis, and the vertical lines x…

A: We first sketch the region using a graphing calculator.

Q: Find the area bounded by the ff. curve and line: y = xe^– x , the x-axis and the maximum ordinate

A: The curve y=xe-x, we have to find the area bounded by the curve, the x-axis and the maximum…

Q: Given y = 3x –- 2x +1, y =-x² + 2x +1 and a straight line y = 0.5x ; where x>0, 1. Sketch the curves…

A: Given y=3x3-2x2+1  , y=-x2+2x+1 and a straight line y=0.5x. We need to : 1) Sketch the curves and…

Q: Find the area of the region bounded by the x-axis and the lines x =- 2 and y =- 4x + 20.

A: It is known that area of region bounded by the curves is given by the integral, A=∫abf2(x)-f1(x)dx…

Q: Find the areas of the regions enclosed by the lines and curves, y = x² - 2x and y = x yx728 3

A: Given curves are y = x2 - 2x and y = x

Q: Find the area of the region bounded by the following curves. y  =  x2 + 4x,     y  =  160 − x2

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Q: Find the area of the region enclosed by the parabola y = 2 - x2 and the line y = -x.

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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 areas of the regions enclosed by the lines and curves  1. y = x^4 and y = 8x  2.y = -x2 +…

A: Given,

Q: Use inscribed and circumscribed rectangles to find the area of the region to the right of the line x…

A: Concept: the area between the region y=f(x) and ==g(x) on the interval [a, b] Let us assume that…

Q: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

A: It is given that radius of circle is 50 feet.  The equation of the region is x2+y2=502; x≥0 and y≥0.…

Q: How many square units is the area of the region bounded by the two curves y = x^2 - 4x and y = x^3 -…

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Q: Find the area bounded by the given curves. y = x2 − 1 and y = 8 − 8x2        square units

A: Given :

Q: Find the number b such that the line y = b divides the region bounded by the graphs of y = 9x2 and y…

A: To find the number y=b that divides the region bounded by the graphs of y=9x² and y=16 into two…

Q: Find the three areas of the region bounded by y= 2x2+10, y=4x+1 and the lines x=-2 and x=5.

A: Given: y=2x2+10y=4x+1x=-2x=5……1   To find: Area of the region enclosed with the above curve and…

Q: 3) Find the area of the region bounded by the lines y = 0, 2x = 3y, 3x = -4y + 10, and y + 3 = (x -…

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Q: Find the total area of the regions enclosed by the two curves y = 4-x2 and y = -x+2 %3D and the two…

A: The given curves are: y=4-x2, y=-x+2 and the lines x=-2, x=3

Q: Find the area enclosed between the x-axis, the curve y= (x-15)(7-x)(x+12) and the lines x=-12 and…

A: We have to find the area enclosed between the x-axis, the curve y=(x-15)(7-x)(x+12) and the lines…

Q: Find the area of the region enclosed by parabola y=3-x2 and the line  Y=3-2x

A: We have to find the area of the region enclosed by parabola y=3-x2 and the line y=3-2x. The point of…

Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

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Q: The area bounded by the parabola x² = 2y, and the line x - y = -4 is 18 square units. %3D

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Q: Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3. Then the area of…

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Q: Find the area bounded by the x-axis, the curve y = x² and the vertical line x = 3. and Find the area…

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Q: Find the area of the region bounded by y=−4x+ 9, y= 2x^2−11x+ 9, and the lines x=−2 and x= 5.

A: The area of the region bounded by two curves y=fx and y=gx, where a≤x≤b, can be calculated by using…

Q: The area bounded by the curve y = 3/x and the lines x = 3 and x = 8 above the x axis - is _square…

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Q: Use a change of variables to find the area of the curved rectangle above the x-axis bounded by…

A: Given,Area bounded by:y24-1≤x≤4-y216 , y264-16≤x≤9-y236 , x≥0

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: Sketch the region and find the area of the region bounded by y = 3x + 1, the lines x = 1 and x = 4,…

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Q: Find the area of the region between the curve y = √2x — 1 and the lines x = 1 and x = 5.

A: Given: The region between curve y=2x-1 and lines x=1 and x=5

Q: find the area of a parallelogram bounded by the y-axis, the line x=5, the line f(x)= 4+2x, and the…

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Q: Find the areas of the regions enclosed by the lines and curves y2 - 4x = 4 and 4x - y = 16

A: Consider a curve: y2-4x=4……1   and line: 4x-y=16……2

Q: The area under the curve y = 8x bounded by the lines a = 4 and a = 9 above the a – axis is_ 648.00…

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