(iii) The line segment x = y - 1,0 < y< 1 is revolved about the y-axis to generate the cone shown in the following figure. Find its lateral surface area (which includes base area).

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y=…

A: y= 21+ sqrt(441−x2) between the points ​(21​,21​) and sqrt(1763)/2,43/2​; about the​ y-axis

Q: Find the area of the surface generated by revolving the curve about they-axis. y=81-x²,05x59 A B…

A: Given :y=81-x20≤x≤9

Q: please solve

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Q: ABC is rotated around the line x=0 to produce a solid. What describes the shape of the solid?

A: While rotating the triangle around x=0 it becomes a cone

Q: Find the aren of the region in the tirst quadrant baunded by the line y=27, e the line X-4, the…

A: We first sketch the region using a graphing calculator.

Q: The arc of the parabola y =  x sq.  from ( 1,1, )  to ( 2, 4 )  is rotated aboutthe  y -axis. Find…

A: Given:The arc of the parabola y=x2 is rotated about the y-axis from 1,1 to 2,4. We have to find the…

Q: Parametrize the osculating circle to y = √x at x = 4.

A: Given that the osculating circle  y = x

Q: (r – 1)² = –4(y – 1) y 9a² + 16(y – 2)² = 144 3 -2 1 0 2 5 -2 -3

A:

Q: Find an arc-length parametrization of the line passing through (1, 0, 1) and (1, 2, 3). Upload an…

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Q: 1. a) Find the length of the curve: y=+[1,2]. b) Find the area of the surface obtained by rotating…

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Q: Find the area of the surface obtained by rotating the curve y 4V7,0 < I < 5, along the r-axis.

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Q: cross-section is given by the following geometric data: a = 75 mm, b= 40 mm, c = 70 mm %3D ind the…

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Q: The line segment x = p – y, 0 <y < p, is revolved about the y-axis to generate the cone as shown in…

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Q: Find . F.dr when F(x,y) = (2x,3y²) and C is only the first quadrant part of a circle of radius 3…

A: Let C be a smooth curve and r→t=xti^+ytj^+ztk^ be the position vector of any point x,y,z on C.…

Q: convert the cylindrical (5, pi/3, 2) to rectangular

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Q: The curve y= 7,0 <x <3; is rotated about the x-axis. Find the exact area of the 3 resulting surface.

A: Given: The curve is Interval is from 0  to 3  and it is rotated about x axis

Q: Find the area of the surface formed by revolving the graph of y = Vx + 2 on the interval [1,8] about…

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Q: Sketch the trace y = 0 for the surface x² - 4y² - z² = 4. Label your axes and plot any intercepts…

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Q: Find a function γ that describes the circle of radius 3 centered at z = 3 - 2i.

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Q: Find an equation for the surface obtained by rotating the curve y = √ √x about the x-axis.

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Q: Find a parametrization of the osculating circle for the parabola y= X sequar when x=1

A: The given equation of parabola is y = x2.We are asked to find the equation of osculating circle for…

Q: Find the length of the curve: y = + [1,2]. 16 ) Find the area of the surface obtained by rotating…

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