The equation of two curves are y"- x'and y=2-x, where x >0 )Find the points of intersection, and sketch the curves on the same Co ordinate axes ii) Calculate the area of the region bounded by the cures t) Find the volume of the solid generated when the region bounded by the curve in i) is teted revolved completely aboat the Y- axis

Q: 3- Find the volumes of the solids generated by revolving the region bounded by The curve x y - y3…

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Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve y = secx ‚y…

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Q: The region R is bounded by the curve y = x² +3, x = -1, x = 2 and y = 1. Find volume of the solid…

A: The given curve is, y=x2+3, x=-1, x=2, y=1

Q: Using cylindrical shells, the volume of the solid formed by revolving the region bounded by y = 8x',…

A: The given functions y=8x3, y=0, and x=1 The volume of solid formed by the revolution V=∫abAxdx Take…

Q: 1. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

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Q: Find the volume of the solid generated by revolving about line y = 1 the region bounded by that line…

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Q: 3. Find the volume of the solid obtained by revolving the region bounded by the curves y = 2x2 + 1…

A: The given curves are: y=2x2+1, y=3-2x2

Q: 10 y = 5x 5 0.5 1 1.5

A: Note:- As per your demand we solve question 9 fro you  Given:- y =5x ,y=5 ,y=10 To find:- Volume of…

Q: Find the volume of the solid generated by revolving the region bounded by the x-axis, the curve y =…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The volume of the solid obtained by rotating the region bounded by y = x², y = 5x, about the line x…

A: Consider the given function and graph:

Q: 4. The curve represented by y = x? from (0, 0) to (1, 1) is rotated about the x-axis, what is the…

A: Let us consider the 5th question 5.

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

A: Given: The region bounded by the parabola y=-x2 and the line y=-1 about the line. a) The line y=-1.

Q: Find the volume of the solid generated by revolving the region about the given line. 27) The region…

A: 28) Given: The line is y = 1. The graph is drawn for the given curve and a line.…

Q: b) Find the volume (using cylindrical shell) generated by revolving the region x y3 and y=x-2 about…

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Q: The region bounded by f(x) = - 4 sin x, x = T, x = 27, and y = 0 is rotated about the y-axis. Find…

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Q: a) Find the intersection point between curves 2=-2 and y=-/2x+2. Hence, find the area of the…

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Q: The volume of the solid obtained by rotating the region enclosed by y = 3 24х — 3х-, у%3D0 about the…

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

Q: The volume of the solid obtained by rotating the region enclosed by y = x', y = 25x, x > 0 about the…

A: We first sketch the region using a graphing calculator  The shaded region is rotating about y=0 or…

Q: R is the region bounded by the curve y = 9 − x2 (with x ≥ 0), and the line x = 0, y = 0. Find the…

A: (i) The region bounded by the curve y = 9 − x2 (with x ≥ 0), and the line x = 0, y = 0 rotating…

Q: Find the volumes of the solids Find the volume of the solid generated by revolving the regionbounded…

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Q: find the volume of the solid generated byrevolving the region about the given line. The region in…

A: Given region is y=2y=2sinxAbout  the line y=2

Q: Find the volumes of the solids generated by revolving the region bounded by The curve x = y - y3 and…

A: We will find out the required volume of solid of revolution by cylindrical shell method.

Q: The volume of the solid generated by revolving the region enclosed by the curve y=/2x ,2 < x < 4,…

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Q: 3- Find the volumes of the solids generated by revolving the region bounded by The curve x = y - y3…

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Q: Find the volumes of the solids generated by revolving the regions bounded by y=6-2x-x^2, and y=x+6…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Sketch the region . Use washer/ring method to find volume of solid.

Q: The region bounded by f(x) = - 7 sin x, x = T, x = 2T, and y = 0 is rotated about the y-axis. Find…

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Q: he region bounded by f(x) = - 2x2 + 12x + 54, x = 0, and y = 0 is rotated about the y-axis. Find %3D…

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Q: Find the volumes of the solids Find the volume of the solid generated by revolving the regionbounded…

A: Please see the diagram below to understand what's going on:

Q: 1. Find the volume of solids generated by revolving the regions bounded by the lines and curves: a)…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given   y=310x2, y=1310-x2, x axis     volume formula v= ∫ab π fx2-gx2 dx

Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-ax 2² y=…

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Q: Rotate the region bounded by y=x - 6x+9, and y =-x +6x –1 about the line y = -1.

A: The washer method is a method that uses definite integral to find the volume of rotation. The volume…

Q: 17. Find the volume of the solid generated by revolving the region bounded by the curve x = y°/2,…

A: The solid generated by revolving the region bounded by the curve x=y32, x=0, y=2about the y-axis

Q: (b) The region bounded by the curve y = x² + 1 and the line y = 3 – r is revolved about the r-axis…

A: As per your query the solution of the problem (b) has been provided below.

Q: 6. Find the volume of the solid generated by revolving about the y-axis the region bounded by the…

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Q: Use the disk method to find the volume of the solid of revolution generated by revolving the region…

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Q: 3. Find the volume V of the solid whose base is an elliptical region with boundary curve 16x² + 25y?…

A: Area of triangle=(1/2)(base)*(height) Area of semicircle=(1/2)π(radius)^2

Q: Sketch and shade the region bounded by the curves x- Vy2 +4 and y- 2 in the first quadrant, then…

A: GIVEN   WE NEED TO FIND THE VOLUME  AND THE STETCH OF THE REGION

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

A: Let's find.

Q: 1. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

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Q: 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

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Q: The region bounded by f(r) -2+10x + 48, x-0, and y=0is rotated about the y-axis. Find the volume of…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve y = sec y =…

A: Here, the region bounded by the curve y=sec x, y=0  from x=-π4 to x=π4 about x-axis is:

Q: b) Revolve the region under the curves y = sin x, y = cos x on the interval [0,-] about the x-axis…

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Q: Use the method of cylindrical shells to find the volume of the solid generated by revolving the…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: Find the volumes of the solids Find the volume of the solid generated by revolving the regionbounded…

A: Consider the given curves,  x = y2 + 1, x = 5. Draw the curves using the graphing utility and shade…

Q: Find the volumes of the solids Find the volume of the solid generated by revolving the regionbounded…

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