Find the area of the region that is completely bounded by the two curves f(x) = x* g(x) = 3x + 20. - x + 20 and

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 graph of the curve y = x³-21x² +146x-336 Shade the area of the region bounded by the…

A: Sketch the graph of the curve y = x³-21x² +146x-336 Shade the area of the region bounded by the…

Q: Sketch the region bounded by the graphs of the functions. y = x3 - 6x, y = -2x² – 3x

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Q: y = 2 – x2 ; y =-x

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Q: Find the area of the region bounded by the line y = 2x − 5 and the parabola y = x2 - 4x

A: The objective of the question is determine the area between given line and parabola.

Q: Sketch the region bounded by the graphs of the functions. y = x2 – 8x + 16, y = x2 – 24x + 144, y =…

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Q: Sketch the region bounded by the graphs of the equations f(x) = x2 + 2x, g(x) = x + 2 and find the…

A: The region bounded by the graph is as below

Q: Find the area of the region bounded by the graph of y=x^2 -3x -4 and the -axis. y + 2 1 3 -1 -4 -5…

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Q: 2. Find the area bounded by the two curves y=x²-6x²+ 8x and y = x² - 4x.

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Q: Find the area of the region bounded by y = -x² – 4x – 2 and y = 2x2 + 8x + 7.

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Q: Sketch the region in the xy-plane defined by the inequalities x - 2y2 ≥ 0,   1 - x -| y| ≥ 0, and…

A: Now the graph is,

Q: The area of the region bounded by the curves y =x and y= 20-x² is

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Q: Find the area of the region bounded by the curve 2-4r and the lines x = 1 and x = 4.

A: To find the area

Q: 2. Find the area bounded by the two curves y = x² - 6x²+ 8x and y = x² - 4x.

A: We have to compute the area between the given curves using the double integration method by first…

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

A:

Q: Solve for the region bounded by y=9-x^2 and y=x^4.

A: To find- Region bounded by the given curves.

Q: b) Find the area between the 2 curves f(x)=x²+4-4x and x-axes and border with the two lines = 5 &x=…

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Q: Find the area bounded by the line f(x)=2x+2, the curve G(x)=X^2-6X +9 and the two vertical lines X=1…

A: Given:       fx=2x+2        gx=x2-6x+9        x=1,x=5 Area bounded by line and curve is:…

Q: Find the area of region bounded by the curve y=x²-2x and y=-x²+4

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Q: Find the area of the region bounded by the graphs of f(x)=x^3-x^2+10x and g(x)=-x^2+26x

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Q: What is the area (in square units) of the region bounded by the graphs of y=x+2, and the x axis from…

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Q: Sketch the region bounded by the graphs of the equations f(x) = 3√x − 1,   g(x) = x − 1 and find the…

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Q: find the area of the region bounded by the graphs of f(x)=x2 and g(x)=8x

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Q: Find the area of the region bounded by f(x) =|x^2−5x+ 6|, the x-axis, and the lines x=1 and x= 4.

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Q: Find the area bounded by the loop of the curve y² = 4x²-x*

A: The given equation of the curve is: This can also be written as: The graph of this curve is:

Q: Sketch the region bounded by the graphs of the functions. y = x2 - 4x + 4, y = x2 - 12x + 36, y = 0

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Q: perimeter of the region bounded

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Q: Find the area of the region bounded by the parabola f(x) = 16-x^2 and the lines  x=0 and x = 4 and…

A: Givenf(x) = 16-x2lines x=0, x=4 and x-axis(y=20)

Q: Find the area of the region bounded by f(x) = -x² – 2x + 3, x-axis, and interval [0, 2].

A:

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 y…

A: We will find out the required value.

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

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Q: Find the area of the finite region bounded by the curve y = 12 + x - x2 and the line: y = x + 3.

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Q: Find the area of the region bounded by y = x² - 5x + 6, the x axis, and the vertical lines x = 0 and…

A: Given that y = x2 - 5x + 6 ; y = 0 (x - axis) ; x = 0; x= 4  We have to find the area of the region…

Q: Find the area of the region bounded by the two curves. y = x2 + 3 y = 7x + 3

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Q: Find the area of the region that is completely bounded by the two curves f(x) equals X^3-4X+21 and…

A: Given, f(x)= x³-4x+21 g(x)= 12x+21

Q: The region bounded by f(x) = (x + 1)-³ and the x-axis on the interval [0, ∞) is revolved about the…

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Q: Find the area of the region bounded by the  graph y=2x2-3x+2 the x axis and the vertical lines x=0…

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Q: Sketch the region bounded by the graphs of y-6=2x²-8x and y+2x² = 4x+6, then find its area

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Q: Find the area of the region bounded by y=2x2 -3x+2 the x axis and the vertical lines x=0 and x=2

A: Given that a equation y(x) and we find area bounded by x=0 ,  x= 2  . Here i attached solution of…

Q: Find the area of the region bounded by the graphs of f(x) = -x² + 2x +5 and g(x) = |2x|.

A: Here we have to find out the area bounded by the given curves.

Q: Find the area of the region bounded by y = 3x²-x² - 10x; y=-x² + 2x

A: We have to find the area bounded by curves, y=3x3-x2-10x, y=-x2+2x

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 that is completely bounded by the two curves f(x) equals -X^2-3X +20 and…

A: We have to solve

Q: Find the region bounded by y=2sqrt(x-1), the x-axis, the line x=5 and the line x=17.

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Q: Find the area of the region bounded by one loop of the curve x2 y*(1 – y²)

A: Given:          x2=y41-y2         x=±y41-y2         x=y21-y2 The graph is symmetric about the…

Q: The area of the region bounded by x = /9- y2, the y-axi first quadrant is:

A: Here we have to find the area bounded by the region x=9-y2 .....................(1), the y-axis, and…

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

A: