4. Region bounded by y = x2, x=0 and y=15, rotated about the y-axis

Q: 8. The region of integration D is bounded by the lines y = x,x + y ==,y = 0. Show that 1 | sin(x +…

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Q: 26 Find the area of the region bounded by, c. The curve y= In x, the lines x 4 and the x-axis. d.…

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Q: 28 The region in the first quadrant bounded by y rotate about the line x = 4x2 , 3x + y = 7, and the…

A: It is given that, the first quadrant bounded by y=4x2,3x+y=7 and the y-axis is rotate about x=-4.…

Q: Region bounded by y = x* +2, y = x+4 rotated about the x-aKis 2.

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Q: 19) The region in the first quadrant bounded on the left by the circle x2 + y2 = 1, on the right by…

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Q: 15 - Which of the following is the volume of the object that occurs when the region bound by the y =…

A: We first sketch the region using a graphing calculator  The shaded region is rotating about the y…

Q: Find the area of the plane region bounded by y = x2 - 4x and y = x(2 - x)

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Q: 2. Region bounded by y= x, x=0 and y=15, rotated about the y-axis

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Q: The region between y=x+3 line and yax+l curu a) x -axis 6) y=1 line cX=-1 line

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Q: Consider a triangle of area 2 bounded by the graphs of y = x, y = 0, and x = 2.   Sketch the region?

A: First draw the x and y axes . Label x for x-axis and y for y-axis . Line y=0 passes from the point…

Q: Compute area of the region bounded byx2+ (y−1)2= 9 andy=x+ 1 and the (horizontal) liney= 1 (we…

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Q: The geometric center of the region bounded by the curves 5y²-16x=0 and y²+8x=24 on the first…

A: The given answers do not match the actual answer. Please check the options.

Q: Determine the area of the region bounded by 3x - 5y + 4 = 0 and y-axis from y = 2 to y = 5.

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Q: 7. Find the radius of gyration of a plate covering the region bounded by y3,x 2, and the x-axis with…

A: Formula used:Radius of gyration, moment of inertia and area under curve with reference to y axis is…

Q: R is the region bounded by y = 4 – x2 and the x-axis and it is revolved about y = 4.

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Q: OFind the area of the region bounded by y = e* , y = e* andx=1.

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Q: 1) Find the area bounded by curve y = xvx2 + 1 and the lines x = 0, x = 4 an %3D the x-axis.

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Q: 2. The region bounded by x = 2 y, x = 0, y = 9 is rotated about the y - axis.

A: Given Data: The given curve is x=2y. Rotated about y axis. The limit for y axis is (0, 9).

Q: The region R is bounded by y 4 %3D and y = x +3. -

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Q: 3. Region bounded by Y = rotated about the x-axis ,x=0 and y=15,

A: By shell method

Q: 1.) Find the area of the region bounded by the curve ya 12 and the lines y=o, y=x, x=2.

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Q: Find the area of the given region y = tanh 2x

A: Given curve and figure: y = tanh 2x

Q: 2. The area bounded by y = -(x – 1)² + 4 , and the lines x =1, y = 2, and y = 4 rotated about the…

A: Given: The area bounded by the curves which are: y=-12(x-1)2+4 and the lines x=1, y=2 and y=4 And…

Q: 1. Find the area bounded by the curves y – 2 = x² ,y = 6 and the y – axis ( in Quadrant I only), as…

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Q: 12 - Which of the following is the volume of the object that occurs when the region bound by the…

A: We sketch the region using a graphing calculator  The shaded region is rotating about the y axis

Q: 17) Find the total areas of the regions bounded 17.1) y = e", y = e(2 – x), y axis |

A:

Q: 6. The region bounded by y = 2x - x2 and y = x abouta. the y-axis b. the line x = 1

A: The region bounded by y=2x-x2 and y=x about  about the y-axis, ∫01∫y=x2x-x2dydx=∫01(2x-x2-x)dx…

Q: 1. Find the area of the region bounded by the ves y = x³ – 5x + 6, y = 10 – 4x – 4x2 and the line x…

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Q: Calculate the area of the region bounded by the graphs of the given equations. 4) y =x°, y = 9x 5) y…

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Q: 3. The region bounded by y = x³, y = x, x > 0 is rotated about the x – - axis.

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Q: Sketch the region enclosed by the given curves. y = 3 cos(9x), y = 3 – 3 cos(9x), OSxS1/9

A: Solution is in step 2

Q: Rotate the region bounded by y= x- 2x + 4 and y X+14 about the X- axis

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Q: 9. Consider the region bounded by the curves y = e", y = e¬¤ and y = 2. %3D

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Q: Find the area bounded by the following:   A parabolic curve whose vertex is at P(1,4) and its latus…

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Q: Show that the region bounded by y = 2 cos x, y = sin x, 3/2 -1. x = 0, x =- has area 2

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Q: 3. Region bounded by y = x2, x=0 and y=15, rotated about the x-axis %3D

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Q: x=y² – 4y (-3,3) wto rigin

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Q: Consider the region bounded by y = 2√x, x-axis, and x = 1.

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Q: 23) Find the area of plate bounded by y = x- 1, y = 3-x and y = 0.

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Q: 4. Region bounded by Y = x rotated about the y-axis ,x%30 and y=15,

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Q: 1-4 - Find the area of the shaded region. 1. yA y= 5x-x2 2. %3D (4,4) y= x

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find a such that the line x = a divides the region bounded by the graphs of the equations into two…

A: Given, y2=4-xx=0

Q: 2. Find the centroid of the region bounded by the parabola y=x² and the line y=4.

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Q: Sketch the region enclosed by the given curves. y = 7 cos(2x), y 7-7 cos(2x), 0 sxs x/2

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Q: 1. Region bounded by y= x, x=0 and y=15, rotated about the x-axis

A: Volume of solid revolve around y axis

Q: Sketch the region. s= {(x, y)\x 2 -2, 0sys se2 y 14 12 600 10 8 400 4 200 O-2 4 6 8 10 2 4 8 10 y y…

A: Given information: The area is bounded by the region S=x,y|x≥2,0≤y≤5e-x2. Graph: Draw the graph of…

Q: R is the region bounded by y = x², y = 4x - x² and the line x = and it is revolved about y = 0.

A: Given regions are, y=x2y=4x-x2y=0 Now, using Washer method by the formula, V=π∫abR2-r2dx

Q: 23. Find the volume of the solid formed by the region in the first quadrant bounded by: x = y-y3, x…

A: Consider the graph:

Q: 8. Consider the region bounded by y =- * , y = Vx, x=1. х

A: Let us consider the curve y=f(x) and y=g(x) The area under the curve y=f(x) and y=g(x) in the…

Q: Region bounded by y=Vx, x=0, and y=2

A: We have to find out the volume of the given solids.