1. Find the volume of the solid that results when the shaded region is revolved about the X - AXIS. y = 3/7, y = 6, and x = 0

Q: 2. Consider the first quadrant region bounded by y² = x, the x-axis and x = 4. Find the volume when…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: 1. Use cylindrical shells to find the volume of the solid generated when the shaded region is…

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Q: 3. Given is the area in the first quadrant bounded by x2 = 8y, the x - axis, x = 4. What is the…

A: Equation of curves are:C1:x2=8y=x=8yC2:x-axisC3:x=4Sketch of the area in the first quadrant bounded…

Q: 4. Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Solution... We have volume of solid obtained by rotating the shaded region about x-axis. let…

Q: Ex/ Find the volume of solid generated by revolving the region y2 and x = y enclosed by x = 1- about…

A: You have posted multiple question. As per the instruction, we will be answering the first question.…

Q: 3 14. Find the volume of the solid that results when the region bound by y = x°, x = 2 and the…

A: The given region is the region bounded by y=x3,x-axis y=0 and x=2. To find the volume when the…

Q: 4. (a) Find the volume of the solid generated when the region enclosed by y = -. 6-x2 and y = 0 is…

A: Given the solid generated when the region enclosed by  y=−6−x225  and  y=0   is revolved around the…

Q: Find the volume of the solid generated by revolving the region enclosed by y = x2+1 and y= x+3 about…

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Q: 3x Assuming the box has a fixed volume. What is the value of y in terms of x that will result

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Q: 1/ Draw the functions , 2/ Find the volume of the solid generated by revolving region bounded by…

A: the given question is taken from calculus in which we have to find the volume of solid generated by…

Q: Given the diagram below: 10

A: After rotatingthe trapezoid around the x-axis. We get two cones and a cylinder. Find the volume of…

Q: What is the volume, br^3, of the rotating body obtained by rotating the graph of the function y = Vx…

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Q: If y=(x-3)² revolved about y axis, find the volume of solid revolution of the curve from y= 3, to…

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Q: 3. Find the volume of the solid of revolution when the region below y = x + 1 and between x = 0 and…

A: 3 We have to find the volume of the solid of revolution when the region below y=x+1 and between x=0…

Q: 1. Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y =…

A: As per our guidelines we are supposed to answer only one question. kindly repost others question as…

Q: 2. Find the volume oF solid obt ained by revolving the region bounded by the about the x- axis the…

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Q: 1. Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: 1- Find the volume of the solid generated be revolving the shaded region about the given axis. About…

A: The volume of the solid generated when the first given region is revolved around the y-axis is to be…

Q: 1) Calculate the volume of the solid created by rotating the region bounded by y = x² +1 y = -x + 3…

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Q: 3. If the region bounded by the curves y =x, y=0, and x =9 is the base of a solid, and cross…

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Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed by the parabole y²…

A: Given y2=4ax and y=x Volume rotating about y- axis = π ∫ab x22 - x12 dy

Q: 1) Find the volume formed by rotating the region enclosed by: x = 3y and y³ = x with y ≥ 0 about the…

A: answer is in next step . please give a like!!!

Q: Given that R is the area bounded by the curve y = 9 – x^2 and y = 5. Calculate the volume of the…

A: Given that R is the area bounded by the curve y=9−x2 and y=5. We have to calculate the volume of the…

Q: Find the volume of the solid that results when the region enclosed by x = 0, x = 9, and y: 0 is…

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Q: A region bounded by f(x) = x, y = 1, and x = 4 is shown below. Find the volume of the solid formed…

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Q: 31 Find the volume of the solid generated by rotating the shaded region R through 360° about the…

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Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

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Q: 1. Find the volume of the solid generated when the region bounded by y = 9 - x? and y = 2x + 6 is…

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Q: 4. Find the volume of the solid formed by rotating the region under the graph of f(x) = 1 on [0, 3]…

A: Volume of a solid generated by rotating the graph of a function can be determined using the method…

Q: find the volume (in units 3) generated when the region between the curves is rotated around the…

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Q: Q2: Find the volume of the solid whose base is the region inside the curve x - y =c and y = c such…

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Q: Consider the region bounded by the equation y = e−x for 0 ≤ x ≤ 4, the y-axis, and the x-axis. Find…

A: The region bounded by y=e-x, x=0 and y=0 is shown below. Calculate the inner radius and outer…

Q: 3. Find the volume of the solid that results when the region enclosed by the curves x = = y² and x =…

A: If the region bounded by x=f(y) and x=g(y) on [ a, b], where f(y)≥g(y)is rotated about the y‐axis,…

Q: 1. Find the volume of the solid generated when the region bounded by y = 9 – x² and y = 2x + 6 is…

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Q: What is the volume of the solid generated when the region in the first quadrant bounded by the graph…

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Q: 19. Find the volume of the solid that results when the region enclosed by = 2y, y = 2, y = 3 and x =…

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Q: Set up the equation in solving volume of the solid generated when the area bounded by a = √√√y, x =…

A: Given that,

Q: 26: Find the volume of the solid when the area contained by x = Jy and y - 6 = x is revolved about…

A: The volume of solid of revolution can be calculated using the formula Volume=∫abπ |fx2-gx2|dx. Here,…

Q: 12. Consider the region R bounded by the line y = 37 – 7x and the parabola y = 27 – x² . %3D Find…

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Q: 13. Find the volume of the solid generated by revolving the area of a circle: (x − 2)² + y² = 4;…

A: The volume of the revolution of the function y=fx from x=a to x=b about the x-axis is: V=∫abπy2dx…

Q: 3. Find the volume generated when the region defined by y = x, y = 2x/(1+ x³) is revolved around the…

A: NOTE : As per Bartleby rules incase of multiple questions only one is answered. Please upload others…

Q: 2. Consider the region bounded by the y-axis, y = 3x+ 1, and r 4. Find the volume of the solid…

A: Given function are y=3x+1x=4y axisAxis of rotation y=-5

Q: 31 Find the volume of the solid generated by rotating the shaded region R through 360° about the…

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Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About…

A: We know that If area bounded by the curve y=f(x), the line x=a and x=b and x axis , is rotated about…

Q: 1. Find the area bounded by the curve y = x^2  and the x-axis and the ordinates x = 0 and x = 2 2.…

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Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

A: For given curves washer method can not be used. Answer with disk method

Q: 18. Find the volume of the solid obtained by revolving the region under the graph of y = 5- on [1,…

A: To find the volume of the solid obtained by revolving the region under the below graph on [1, ∞)…

Q: 2) () Find the exact volume of the solid obtained by rotating the region B enclosed by the curves…

A: Volume of solid of revolution by the area enclosed by y=f(x) and y=g(x)about x-axis  (where…

Q: d. Compute the volume of the solid obtained by revolving the graph of on 10, al about the x-axis

A: In the given question,concept of volume of solids of revolution is obtained. Volume of Solids of…

Q: 15. Find the volume by the parabole y² = of the solid generated by revolving y-axis, the area…

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