Determine the area enclosed by the curves y =-x + 4x and y =-x+4. Draw a sketch of the graphs on the same system of axis.

Q: Find the area of the shaded region.

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Q: Find the area of the shaded region. y y=9x-x² 20 15 7, 14) 10 y= 2 x 2 4 6. 8 10

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

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Q: Find the area of the shaded region. y 8 y= 5 x – x 6. (3, 6) 4 2 y= 2 x X -1 4 5 2.

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Q: Find the total area between y = 16 – x and the x-axis for 0 <x < 5. | Area

A: Please refer to the image below

Q: find the area.  x^2=8y and x=y+1

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Q: Find the total area of the shaded region. 1.5- 1- 0.5- 0 y x=12y³ 6 x=12y² (12,1) 12 18

A: The equation of the curves are: x = 12y3 x = 12y2 The graph of the curves is To evaluate: The area…

Q: Find the area of the shaded region: 1. y=x+4 (3,7) (-2, y=r-2

A: Area between the curves

Q: find the total area between the region and thex-axis. y = x3 - 3x2 + 2x, 0 ≤ x ≤ 2

A: Given function or curve,  y = x3 - 3x2 + 2x,        0 ≤ x ≤ 2 To find total area between the curve…

Q: Find b such that the line y = b divides the region bounded by the graphs of the y = 9 − |x| and y =…

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Q: Determine the area of region by y = x^2 + 4x and the y - axis

A: Area between the y=x^2+4x and y-axis is unbounded .  So, we will find the area bounded by the region…

Q: Determine which graph corresponds to the area enclosed by the curves y 3x and y = x2 + 7.

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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: Find the area of the region enclosed by the graphs of 1 1 y = 0, x = 0, and x /1 – 4x²' NOTE: Enter…

A: First set the integral for area and the using rule of integration solved it.Final solution is in the…

Q: Find the total area between y = 25 - x² and the x-axis for 0 < x≤ 6. Area

A: Given: The curve y=25-x2. To find: Total area between the curve y=25-x2 and x-axis for 0≤x≤6.…

Q: Find the exact area of the shaded region: (0, 4) y = 4 - x2 3 (3,-5)

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Q: Find the area of the region below y = x² + 2x 4 and above y = 3 for 2 < x < 5. %3D Area

A: Recall:            Area=  ∫abf(x)-g(x)dx  We have, f(x)=x2+2x-4, g(x)=3, a=2, b=5

Q: Find the area of shaded region.

A: Consider the graph,

Q: Find a vertical line x=k that divides the area enclosed by y=x^2, x=2, and y=0 into two equal parts.

A: Given,

Q: Find the area of the shaded region. y =x²+1 y -x 2

A: Since your question has multiple questions we have solved the first question for you.     Consider…

Q: The area bounded by the curve y2=12x and the line x=3 is revolved about the line x=3. What is the…

A: The correct answer is option C. Given  y2=12x and equation of line x=3 The point at which the line…

Q: The area bounded by the curve y = 6x and the lines x = 9 ,x = 11 and x %3| axis is - O 486 square…

A: Consider the curves, y=6x,  x=9,  x=11   and   x-axis To draw the bounded region:

Q: Find the total area between the region and the x- axis. y = x3 – 4x ; -2<x<2 -

A: Given: y=x3-4x The graph of the given function is,

Q: Graph the equations and shade the area of the region between the curves x = −7 + y2 and x = 5y − y2.…

A: The given curves are: x=-7+y2     and     x=5y-y2

Q: y=x 2 y = x+1

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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 area of the enclosed region y=x^1/2 y=1/2x x=9

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Q: Find the area enclosed by x - y = 0 and 5x – y = 16

A: We will solve the following.

Q: Find the total areas of the shaded regions

A: according to given figure areaA of shaded region is given by A=∫01x13-x12dx…

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: Find the area of the region enclosed by the graphs of 1 y = 1 y = 0, x = 0, and x = V1 – 16x2 NOTE:…

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Q: Find the area of the region below y=x2−x+2 and above y=3 for 2≤x≤6. Area =

A: The objective is to find the area of the region.

Q: Determine the area enclosed by the curves y=-x² + 4x and y =-x +4. Draw a sketch of the graphs on…

A: The given curves are: y=-x2+4x and y=-x+4

Q: Find the area of the shaded region. y 4 3 2 1 (1, 1) 2 y = √x y = 4 X 6 X = 8 8 X

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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 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: Sketch the graph of the region enclosed by y = 4 – x² and y = -x+2 and calculate its area.

A: From the given curve bounded region is shown below:     Now finding the point of intersection:…

Q: Find the area of the shaded region. y y = x2 + 1 ... y = x -1 2

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Q: Find the area of the shaded region. y 4 2 y=V x ((1, 1) X= 8 y = X 4 6 8 1,

A: The region is bounded by the graphs,y=x3 and y=1x from x=1 to x=8

Q: Determine which graph corresponds to the area enclosed by the curves y = 5x and y = a2+ 3. 8- 4-

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Q: Find the area of the region in the first quadrant bounded by the line y=5​x, the line x=5​, the…

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Q: Find the area of the shaded region below. y=Vx+ 2 x = 2 1 y = x+1 Area =

A: Form the definite integration of the difference of the given functions and simplify.

Q: With the aid of graph diagram, find the total area of the region. а. у%3Dх2— 4х + 3, 0sxs 3, y = 0…

A: To find the Area enclosed by region we use Integration

Q: Find the area of the shaded region. y 3y= 2 x+ 16 (1, 6) 6 4 (2, 4) (-2, 4) 2 y = 8- 2x -4 -2 2 4)

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Q: Determine the area of the region bounded by the following graphs: x = 1, x = 4, y =-x² + 3x and y…

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Q: find the area bounded by y = (2x - 3) / (x^2 + 4), the coordinate axes and the minimum ordinate

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Q: 2+ y =x+ - 2x3 1 y = 0 2 -1

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Q: Find the total area between y = x'/3. - x and the x - axis for -1 sIs8.

A: Follow next step

Q: Determine which graph corresponds to the area enclosed by the curves y = 2x² and y = x² + 1. 8. 4- 3…

A: Explanation of the answer is as follows