3.Find the volume of the solid formed by revolving the region bounded by the graph of f(x) = vsin x and the x-axis (0 sxST) about the x-axis

Q: b- Find the volume of the solid formed by revolving the region bounded by: y=x² –1 from x =-1 to x=1…

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Q: b) The area bound by the curve y = 2x + 1 and the y-axis is rotated about the y axis between y = 2…

A: We need to calculate the volume.

Q: Find the volume of the solid generated when the region enclosed between y = cos x and y = 0for 0 ≤ x…

A: The volume of the solid generated when the region enclosed between y = cos x and y = 0 for 0 ≤ x ≤…

Q: The region in the first quadrant that is bounded above by the curve y= 1/x, on the left by the line…

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Q: 7. Find the volume of the solid obtained by rotating the region under the graph of f (x) = 9 – x2…

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Q: 2. Find the volume of the solid formed by revolving the region bounded by the graphs of x = -y² +…

A: Here we have given a solid region bounded byx=-y2+4y,y=1and x=0. So bounded solid region will be…

Q: 2. Solve for the volume of solid of revolution formed by rotating the area bounded by y = x² + 2, x…

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Q: Find the volume of the solid that results when the region enclosed by y = e2", y = 0, x = 0, x = ln…

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Q: (#3) Find the volume of the solid generated by f(x) =x° and f(x) = 4x-x° rotating about the y-axis:

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Q: Calculate the volume V of the solid obtained by rotating the region under y = x2 about the x-axis…

A: To find the volume V of the solid obtained by rotating under a region, use the formula, V=∫abπ(y)2dx…

Q: Q1/ Find the volume of the solid generated by revolving the region bounded by the line (y= x+3 ),…

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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: 12. Find the volume of the solid that results when the region bound by x 1-y and the y-axis is…

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Q: sketch the solid obtained by rotating the region underneath the graph of the function overthe given…

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Q: Find the volume of the solid formed when the region bound by y = e* + 3, x = 0, x = 3 and the x-axis…

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Q: Find the volume of the solid generated when the region between the graphs of the equations f(x) + x…

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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: 4. Use the washer method to determine the volume of the solid obtained by the revolving the region…

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Q: 3. Find the volume of the solid whose base is the region in the first quadrant between the curve y=…

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Q: Find the volume of the solid generated when the region bounded by the graphs of the equations x= y -…

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Q: 9. Find the volume of the solid obtained by rotating the region bounded by y = Vx. x 0, and x = 4…

A: To find: The volume of the solid obtain by rotating the region bounded by y=x, x=0 and x=4 about the…

Q: 2. Find the volume of the solid whose base is the region bounded between the curve y=x² and the…

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Q: 3. Find the volume of the solid formed by y = √√4sin(x) bounded by x = 0 revolved about the x axis…

A: According to the question we need to find out the volume of revolution of the curve.

Q: Find the volume of a solid of revolution formed by revolving the region bounded by the graphs of…

A: The objective is to find the volume of a solid generated by revolving the region bounded by the…

Q: Find the volume of the solid obtained by rotating the region under the graph of f (x) = 9 − x2 for 0…

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Q: Find the volume V obtained by revolving the region between y = x2 + 4 and y = 2 about the x-axis for…

A: To find: The volume V obtained by revolving the region between y = x2 + 4 and y = 2 about the x-axis…

Q: Rotate the region specified above by the curve y = x and beneath by the curve y = x2 from x = 5 to x…

A: Explained below

Q: 16. Find the volume of the solid generated by revolving the region bounded by the curve y = x – x²…

A: To find the volume of the solid generated by revolving the region bounded by the curve y=x-x2 and…

Q: 3) Find the volume of the solid generated by revolving the region bounded by y = cos x, y = sin x, x…

A: According to the company policy, we will answer only the first question. Please resubmit the second…

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A: We will  use concept of integration to solve this. In particular disc method  will be used.

Q: Find the volume, in cubic units, generated by revolving about the x-axis the area bounded by the…

A: Solution is given below:

Q: Find the volume of the solid whose base is the region bounded by the x-axis and the curve y=e^x…

A: It's given that each cross section perpendicular to the x-axis is a semicircle. Hence area of one…

Q: Given a curve having an equation of y2 = 4x. a) Compute the area bounded by the curve and the line…

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Q: Find the volume generated by rotating the region between the graphs of y = 2 - x, x = 0, and the…

A: Consider the provided region, y=2-x,x=0 Find the volume generated by rotating the region between the…

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

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Q: Determine the volume of the solid generated by rotating function f(x)=1/x about the x-axis bounded…

A: To find the volume

Q: The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-axis. Find the…

A: Given problem:- The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the…

Q: THE REGION BOUNDED BY y = 205x - 1 AND THE X-AXIS IN THE INTERVAL πT 317 EX2 IS REVOLVED ABOUT 2 2…

A: The Shell formula for Revolution about a vertical line is used to evaluate the volume of the solid…

Q: Find the volume of the solid of revolution that results when the region under the graph of…

A: For radius = x , height = f(x)= e^-x

Q: 4. Find the volume of the solid generated by revolving the region bounded by y = x 2 + 2 and y = x +…

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Q: 6. Find the volume of the solid formed by revolving the region bounded by the graphs of y = x2, x =…

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Q: 1. Find the volume of the solid generated by revolving the region bounded by the parabola x =y? and…

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Q: What is the exact volume of a solid that is formed by rotating the region, enclosed by the functions…

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Q: A region in the xy-plane has a z-output given by the equation z = In(x²) + 2xy – e*y. Determine the…

A: Given a region in the xy - plane : z=lnx2+2xy-exy We need to find the volume between the xy - plane…

Q: Find the volume V of the solid of revolution that results when the region under the graph of f(x) =…

A: To find the Volume V.  Given that f(x) = ln(x).

Q: Find the volume of the solid of revolution generated by revolving y = (e^−x) + 2around the x-axis…

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Q: Find the volume of the solid obtained by rotating the region under the graph of the function…

A: volume is 76.9858 detailed solution with explanation is given below

Q: What is the exact volume of a solid that is formed by rotating the region enclosed by the functions…

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Q: Find the volume (in cubic units) of the region bounded by the curves y = sin x ,and y = cos x and…

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Q: 4. Find the volume of revolution generated by revolving the region between f(x) = 9-3x and f(x) =…

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