Find the area of the surface generated when the given curve is revolved about the given axis. 1 3 y = (8x)° , for 0 sx<8; about the y-axis

Q: solve the following problems. Draw the necessary figures for each. Find the surface area generated…

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Q: Find the area of the surface generated by revolving the curve about each given anis. *- 7t. y= st,…

A: We have to find  the surface area generation by revolving the curve about x and y axis

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 5x…

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Q: Find the area of the surface generated when the given curve is revolved about the x-axis. 1 1 for 3x…

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 1+ is…

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Q: Find the area of the surface generated by revolving the curves about the indicated axis. A) 247? B)…

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Q: Determine the exact area between the x-axis and the curve defined parametrically by 2 x(t) = - +² t²…

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Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis. DRAW A…

A: Introduction: When an arc is revolved around the coordinate axis, a solid is formed. This solid has…

Q: Find the area of the surface generated when the given curve is revolved about the given axis y=6x,…

A: y=6x for 7≤x≤40 , revolved about x-axis

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

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Q: Given the curve y = x' and the line y = 4x in quadrant 1 M Find the moment of R with respect to the…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y =x2 4 In(x),…

A: Given curve is y=14x2-12ln(x) Differentiate with respect to x. dydx=x2-12x

Q: For the curve y = x^2 + 1 between the points (1,2) ??? (3,10) : a. find the Arc Length b. and find…

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Q: Given the functions y = 5x − x2 and y = x. (Sketch the graph) Solve for the surface area of y=x fro…

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Q: a. Arc length of the curve y = 4- (x-2)² 4 bordering the region R

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Q: Question 7 Find the area enclosed by the curves y=2r², y=2x.x=- and x = 1 A) 45/51 B 65/89 59/76 D)…

A: Here is the solution

Q: The given curve is rotated about the y-axis. Find thearea of the resulting surface.   y = 1 -x2…

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Q: Find the area of the surface obtained by rotating the curve about the x-axis. Select the correct…

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Q: 2. (a) Draw the graph and shade the region given by the curve x=rcose, y =r sine, ns0s 27. (b)…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = Vx, 3sy54

A: Given:y=x3  ,     3≤y≤4Surface area :S=∫ba2πx 1+dxdy2   dy

Q: ex Find the surface areaof the cone 8 =h ä Jxt where his the height of the coneand aisthe radiusof…

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Q: Find the area of the surface generated by revolving the curve about the x axis y=√x, 0≤x≤2( Note: I…

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Q: Find the area of the region bounced below by the x-axid and above by the curve  x= 5sin^2(theta), y=…

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Q: Find the surface area generated by rotating the semi-circle x = 49 – y² be- tween -7 <y < 7 about…

A: Calculate surface area: S=∫-772πx1+dxdy2dy   =∫-772π49-y21+ddy49-y22dy   =∫-772π49-y21+-y49-y22dy…

Q: for y^2 - z^2 =1, find the point(s) on surface nearest to origin

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Q: Find the area of the surface generated when the indicated arc is revolved about y-axis x^2 = 4ay…

A: Surface area about  y-axis is given below..

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

A: Given   Area of surface area revolved about x axis formula is

Q: Find the surface area generated by rotating the semi-circle x = 49 – y? be- tween -7 < y 7 about the…

A: Given, x=49-y2  between -7≤y≤7 dxdy=1249-y2-2y=-y49-y2 By the formula:  S=∫2πx1+dxdy2 Plug the…

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y= 2x,…

A: Given curve: y=2x, for 35≤x≤99

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y 10x…

A: Given:

Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 4 +x2…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y=4/x,…

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Q: Find the area of the surface generated by revolving the curve defined by x(t) = 3 cos t, y(t) = 3…

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Q: c) Find the curve length of the lemniscate of the area Inside the lemniscate r² = 6 cos 20 and…

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Q: Question 7 Find the area enclosed by the curves y=2r², y=2\/x,x=- and x = 1 A 45/51 B 59/76 49/96…

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Q: 3) çalculate Sſ e-(x<+Y²) dA on D which is the region in the first quadrant bounded by the circle X²…

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Q: The ceiling of a building has a height above the floor given by z = 30 + x, and one of the walls…

A: The surface area can be given by SA=∫abf(x)ds =∫040(30+14x)ds Path is given by…

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y= 6x,…

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Q: a) Find the length of the given curve: x = (y³/3) + 1/(4y) from y = 1 to y = 3 %3D b) Find the area…

A: a) given curve isx=y33+14y from  y=1,  y=3 find the length the curve  b) f(y)=4-y2, x=0 find the…

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 0SxS 12

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Q: Write the equation of the curve l_r(t) which traces the circle of radius (0,0,1) on the plane z=1.…

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Q: Identify surface trace S in flat cut T. S: 182? + 9y? – 222 – 20 = 0 • T: z= 3

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Q: Question 14 Find the area of the surface that is generated by revolving the portion of the curve y=…

A: Given: y=x2⇒x= ±y Since , we are dealing with x=1 to x=2, we will take the positive value Thus, x=y…

Q: Question 8 Calculate the area of the surface generated when the curve, y = Vx is revolved on the…

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 4(x² –…

A: Given: y2=4x2-a2 Portion of the curve in the 1st quadrant is revolved about x=0 (y-axis) from y=0 to…

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. 1 In(x), 4< x <…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 5x…

A: The objective is to find the area of the surface generated when the given  curve is revolved about…

Q: JT 9 cos' t and y 9 sin't (where t E R) is A- then what is 8. If the area enclosed by the curve x =…

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Q: for the Surface Area below .. what is * ?the radius of revolution Q3/ The arc of the curve x=Vy,…

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Q: Find the surface area generated by revolving one arc (first quadrant) of y = cos x about the x-axis.…

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