Find and graph the area of the region bounded by the curves, x=-6 ,  x=6 , the x-axis  and the parabola   x^2-4y-16 = 0.

Q: find the total area of the region between the graphof ƒ and the x-axis. ƒ(x) = 1 - (x2/4), -2 ≤ x ≤…

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Q: find the total area of the region between the graphof ƒ and the x-axis. ƒ(x) = x2 - 4x + 3, 0 ≤ x ≤…

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

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: Find the area bounded by the parabola y2 − 3x + 3 = 0 and the line x = 4. With illustrations please

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

A: Given that : The curve y = 4x2 + 3 , x = 0 , x = 2 , y = 0.

Q: Calculate the total area of the region bounded by the line y= 6x^2 + 9, the x-axis and the line x =4…

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Q: area of the region

A: Consider the given equations, y=2x2+10y=4x+16x=-2x=5 It is observed that the region is bounded only…

Q: Find the area of the shaded region. 160- (-2,152) f(x) = x* - 8x + 18x, g(x) = - 25x + 102 3,27)

A: Given: fx=x4-8x3+18x2 gx=-25x+102   From the graph it is visible that the points of intersection are…

Q: Find the area of the region bounded by y=x^2-6x+5, y=0 and the lines x=2 and x=5

A: We have to find the area of the region bounded by y=x2−6x+5, y=0 and the lines x=2 and x=5. The…

Q: Find the area of the region bounded by the graphs of the equations.              y = 5x2 + 2,    x =…

A: Given  The equation  is  y = 5x2 + 2,    x = 0,   x = 2,    y = 0 Formula for area under the curve…

Q: Find the area of the region bounded by the graphs of the equations. y = 8x2 + 4,  x = 0,  x = 2,  y…

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Q: Find the area of the region bounded by the graphs of the equations. x² + 8x, y = 0 y 200/3

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Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: Sketch the region bounded by the graph of the equations and find the area of the region. x = y² -…

A: Solution

Q: Find the area between the curves. 3x х%3 -2, х%34, у%33е3X, у%3D2е 3X +1

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Q: Find the area of the region bounded by the graphs of the equations. 3 y = 5 + Vx, x = 0, x = 8, y =…

A: The solution is given below:

Q: Find the area of the region bounded by the graphs of the given equations. y​ = 5 - x^2, y = 5 - 5x

A: Given that, Two equations are following, y = 5 - x2  and y = 5 - 5x We have to find the area bounded…

Q: Find the area of the region enclosed by the graphs of x = 9-y^2 and x = 5.

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Q: There is a line through the origin that divides the region bounded by the parabola y = 8x- 32 and…

A: Here we have to calculate the slope of the line  It can be calculated by finding the area and then…

Q: Find the area of region bounded by the graphs of the equations. 1. y = 5x² + 2, x = 0, x = 2, y = 0

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

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

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Q: What is the area (in square units) of the region bounded by the graphs of y=x2+2, and the x axis…

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Q: The planned tunnel is 12 meters wide. To allow safe passage for vehicles, the tunnel must be 6…

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Q: Find the area of the region bounded by the graphs of the equations                y = 6x2 / (x3 − 2)…

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Q: Find the area bounded by y = 5 + 2x -x2 and the chord passing through (-2, -3) and (3, 2). Sketch…

A: Let us consider two curves f(x) and g(x) [continuous functions] such that f(x)≥g(x) in the interval…

Q: What is the area of the region bounded by the parabola y^2 = 2x and the line x-y-4 = 0? *

A: See the details solution in below

Q: Find the area between the curves -4x + y = 16 and -2x2 = -y+ 10.

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Q: find the total area of the region between the graphof ƒ and the x-axis. ƒ(x) = 1 - √x, 0 ≤ x ≤ 4

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Q: Find the total area of the shaded region. 10- y = 8 6- 4- y=8 cosx 2- 1/2 元 Зл/2

A: Given curve y=8cos2x  liney=8

Q: Find the total area of the shaded region. 1.5- *-5y3 1- (5,1) x= 5y2 0.5- 2.5 7.5

A: Solution

Q: A piece of wires 10 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Let the square be cut =yThen the equilateral triangle will be =10-yTotal area=Area of square+Area of…

Q: Find the area of the region bounded by the graphs of the equations. y = 7x2 + 1, x = 0, x = 2, y = 0

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Q: Find the area of the region enclosed by the graphs of the given equations by partitioning the…

A: The region is enclosed by the graphs,y=5x2, y=5x

Q: A poster of area 6000 cm2 has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

A: SOLUTION-

Q: Find the total area of the region enclosed between the curves: 10x² +24x and =-x³ +10x² 24x

A: The objective is to find the area bounded between the curves.

Q: Find the total area of the shaded regions enclosed by y = 2x° - x2 - 5x and y = - x² + 3x. Ay…

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Q: Find the area of the region bounded by the graphs of the equations. y = sqrtX(4 − x), y = 0

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Q: There is a line through the origin that divides the region bounded by y = x − x^2 and the x-axis…

A: Area between curves

Q: Find the area of the region bounded by the graphs of the equations. y = 2+√√x, x = 0, x = 8, y = 0

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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: Find the area of the region bounded by the graphs of the given equations x=y^2 , x=16-y^2

A: topic - area bounded by curves

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

A: Following is the graph First obtain the points of intersection…

Q: Sketch the region bounded by the graphs of the equations (include representative rectangle) f(x) =…

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Q: Find the exact area of the region bounded by the graphs of y = x2 -4x+3 and y = -x2 +2x+1. Also…

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Q: Find the area between the curves -16 = 4x- y and -10 = 2x-y.

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Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 10x, + 10x, y = 0

A: Clearly we can rewritten the equation y=- x2+10x  as                                        y-25= -…

Q: find the total area between the region and thex-axis. y = 3x2 - 3, -2≤ x ≤ 2

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