2. Find the area bounded by the two curves y = - x2 - 4 x and 2 - 6 x. a. Find the coordinates of the points of intersection b. Sketch the graphs of the two curves on the same coordinate plane ( you can use DESMOS) and shade the closed region bounded by the curves c. Calculate the area of the bounded region.

Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

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Q: 9. y = x²; y = 8-x²; y = 4x +12 %3D

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Q: Determine the area that is bounded by the graphs of the following equations. y = 16x,      y = x3

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Q: Find the area bounded by the parabola x = y² + 2 and the line y = x – 8. 11 -2 3.

A: We have to find out the area bounded by the two curves

Q: B- Find the area between the curves: x = y2 and y = x - 2

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Q: 1. 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 the parabola y² = 2x2 and the line y = x - 5. 16 17 18 19…

A: Given: y2=2x-2 and y=x-5 Now find the point of intersection between the given curves. y2=2x-2 ;…

Q: Consider the infinite region in the first quadrant bounded by thegraphs of y = 1/x2 , y = 0, and x =…

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Q: Find the area between the x-axis and the curve y = -x² - 2x, -3 ≤x≤ 2.

A: Solution: Given that Curve is y = -x^2 -2x Area between the x axis and the given curve is

Q: 1. Find the areas enclosed by the y-axis and the following curves and straight lines: b. x= y(y-2),…

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Q: 9. Find in two ways the area bounded by the parabola y = x², the y-axis, and the lines y = 1, y= 4.

A: Given,  The parabola y = x2  We have to find the area bounded by the parabola, y-axis and the lines…

Q: 1- Find the area of the region enclosed by the line y=4x and the curve y=x'+ 3x'.

A: According to our guidelines we can answer only first question and rest can be reposted.

Q: (2) Determine the intersection points of y=-x² +9 and y = 5. Then find the area bounded by this…

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Q: Find the area bounded by the ff. curves and lines: a. y = xe^–x , the x-axis and the maximum…

A: To find the are bounded by the curves and lines: (a) y=xe-x, the x-axis and the maximum ordinate.

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

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Q: Given the curve y = x´ and the lines y = 0 and y = 2 – x Find the area of the region bounded by the…

A: Given

Q: Find the area bounded by the circle x² + y² = 25, the x-axis and the parabola x² - 2x = y.

A: Equation of Circle is x2+y2=25  Centre of Circle = (0,0) Radius of Circle = 5 unit Equation of…

Q: Find the area between the y-axis and the graph X = 1 on the interval 3, 6]. 7 5- 4 3 2 ++++ ++++ 54…

A: The area formed is of trapezium

Q: Find the area bounded by y= (11 - x)1/2, the lines 3x = 2 and x = 10, and the X-axis. 19.456 sq.…

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Q: 30. Find the area bounded by the curve 5y²=16x and the curve y²=8x-24. A. 36 B. 25 C. 16 D. 14

A: Topic = Area

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: (1) Find the area of the region bounded by the curves and draw an illustration y = x² and y = 6x-x².

A: The region bounded by the curves y=x2 and y=6x-x2 Note:    Multiple questions are given we are…

Q: 17 - Calculate the area of the region between the y = x^2 – 3x parabola and the y = 3x line. O A) 36…

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Q: If 0 < c < 1, find the area enclosed by the graphs of y=0, y=1/x,

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Q: Find the area bounded by the given curves.y = x2 − 3 and y = 12 − 14x2…

A: First we graph the curves using graphing calculator.

Q: 1 2. Find the total area of the region between the curve and the x-axis. a. y=2-x; b. y= 3x-3;…

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Q: Find the area A of the portion of the region between the graphs of and y =| x + 2. that lies in the…

A: According to the given information, it is required to determine the area A of the portion of the…

Q: 1- Find the area of the region enclosed by the line y=4x and the curve y= x³ + 3x².

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

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

A: Given :

Q: (b) By sketching the graphs, find the area of the region bounded by the parabola and the line, x2 =…

A:

Q: 1. Find the area enclosed between the graphs of y = 5 – 10x + 7x? – a3 and y = 4x – 3.

A: given equations are

Q: . Find the area bounded by y = (11 – x), the lines 3x=2, x=10, and the x-axis.

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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 areas of the regions enclosed by the following curves. y=x^4 -9x^2+1 and y= x^2 -8

A: Given curve is y=x4−9x2+1 and y=x2−8 We have to find the area of the regions enclosed by the given…

Q: Calculate the area limited by the graph of the equation r2 = 4sin2∅

A:

Q: Find the Area of the region inclosed by x=y3 and x=y1/2-6

A: Please find the solution below:

Q: Find the area bounded by the parabola y2= 4x, the x – axis and the lines x=1 and x=3.

A:

Q: 1- Find the area of the region enclosed by the line y=4x and the curve y=x³ + 3x.

A: To. Find thhe area of enclosed region

Q: (b) Find the areas of the regions enclosed by the line y = x and curve y = x- 3x

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Q: Find the area of the region in the first quadrant bounded by the circle (x - 1)² + y² = 1, and the…

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Q: 7) Find the area of the region enclusced by the curves y=x² and

A: Please refer the attached image for complete solution. THANK YOU !

Q: Find the area of the donut-shaped region bounded by the graphs of (x - 2)2 + (y + 3)2 = 25 and (x -…

A: It is given that the equation of two circles are x-22+y+32=25…

Q: 5. I Find the area of the region enclosed by the curves y = 3x³ - x²-10x and y=2x-x². (x ≥ 0) (a)…

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Q: Determine the area that is bounded by the graphs of the following equations y = 4x, y = x3

A: Our Aim is to determine the area bounded by the graphs of the equations:-y=4x and y=x3

Q: Find the area between the y-axis and the graph X = -y + 5y – 4 on the interval [1, 4]. 3- 2- 54 3-2…

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Q: Given the curve y = x' and the line y = 2 – x. Find the area of the region bounded by the curve and…

A: Area bounded by the curve y=x2 and the line y=2-x

Q: Determine the area that is bounded by the graphs of the following equations. y = 4x, = x3

A: Draw the graph and find the integral:

Q: Find the area between the curve y = x(x 3) and the ordinates x = 0 and x = 5. LA B

A: Topic = Area

Q: Find the area between the curve y = x = 0 and x = 5. x(x 3) and the ordinates - LA B 3

A: