Question 5 5 st36. about x -axis is The area of the surface obtained by rotating the curve * = 3t, y = 48 – 4t O A. 2607

Q: cos(3t), y = 6+ sin(3t) on 0 <t <

A: Please see the explanation below

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 2(x² -…

A: Above question is solved.

Q: The curve given by x =sqrt(a2+y2) where -a ≤ y ≤ a; is rotated about the y –axis. Find the…

A: Given curve is x=a2+y2  where -a≤y≤a Differentiate the given curve with respect to y, dxdy=ya2+y2…

Q: s. y-- In x 1<X < 4 5. у 2 4

A: Formula for calculating surface area(S): S=∫ab2πyds                              where, ds=1+dydx2…

Q: 3. (8.3) find the area of the surface obtained by rotating the curve y = v4- x2, -1<x < I about the…

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Q: Question 5. Use Green's theorem to compute the area trapped between the ellipse x2 + 4y? = 4 and the…

A: Given that the area is bounded between the ellipse x2+4y2=4 and the parabola x=22y2. The Green's…

Q: Determine the surface area generated when a portion of the curve in the first quadrant of 4 y2 = 4…

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Q: 6. Find the surface area generated by rotating the first quadrant portion of the curve y = 9 – x2…

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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: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 4(x² −…

A: When a curve  described by the function x=g(y), a≤y≤b  rotated about the y−axis, Then the area of…

Q: cos(2t), y = 4+ sin(2t) 0 <t< on 2

A:

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 9(x² -…

A: The given curve is y2=9x2-a2 in the first quadrant. We need to find the surface area when the given…

Q: 6. Find the area of the surface generated by revolving the curve y = x² + 2 from x = 1 to x = 2…

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Q: 3. Find the area of the surface generated by revolving the curve = 2/1- y (-1 < y < 0) X about the…

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

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Q: 5) Determine the area of the surface obtained by rotating the arc y = Vx –1 around the x- axis from…

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Q: 1 Find the area of the surface generated by revolving the curve x = + from 3 < y < 5 about 4 8y2 the…

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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: Determine the surface area of revolution when the curve y = 7.2/x from x = 1 to x = 5 is rotated by…

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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: Question 6 Find the area 2 y=x²-3 between the curves and y=x+3

A: In this question, we will find the area of the region bounded by the given curves.

Q: Question 2: Find the surface area of the object by rotating y = 4 + 3x²,1 s x s 2 about the у-аxis.

A:

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

A: Area of surface generated by a curve y=f(x) when revolved around y -axis  S=∫ 2πx dsWhere…

Q: 8.) Find the area of the surface by revolving the curve about each given axis. 1 x =t3, y = t + 1,…

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Q: Find the area of the surface generated when the curve y = x2 from x = 0 to x = 3 is revolved about…

A: Let's find.

Q: Question 2: Find the surface area of the object by rotating y = 4 + 3x² , 7< y < 16 about the…

A: .

Q: The graph of y =√x from (1, 1) to (4, 2) is revolved around the x-axis. Find the area of the…

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of y² = 4 +x2…

A: We will find the surface area generated by a given curve in the first quadrant

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

A:

Q: Consider the curve y = 3 sin(2x), where 0 < x < n/2. Find the surface area when this curve is…

A: We have given the function; We know the formula for surface area by revolution;

Q: 5. Find the exact area of the surface generated by revolving the given curve about the y- axis, Draw…

A: Application of integration

Q: QUESTION 17 Consider a right circular cylinder open top tin can with volume 1000 cm. Suppose R and H…

A: Use the formula for volume and surface area of cylinder

Q: : The area of the surface obtained by rotating the curve y = 2 In a, for 1 < a <e, about the a-axis,…

A: We have to find the integral that given the surface area.

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: QUESTION 5 Consider a right circular cylinder open top tin can with volume 1000 cm³. Suppose R and H…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. = Vx, 1sys 5

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Q: Question 7 Calculate the area of the surface generated when the curve, f(x) = x³/2 . x1/2 on [1,2 ]…

A: Here f(x)= x32-x123 on the interval [1,2]it is revolving about the x-axis .The surface…

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = =x² - 1 1,2…

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Q: Question 8 Given the equations x = y2,y = I Find the area and volume bounded by these curves if the…

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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: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = Vx, 2 < y<…

A: Given: The given curve is, y=x3=x1/3,  2≤x≤4   To determine: The area of the resulting surface.…

Q: Find the area of the surface generated by revolving the given curve about the y-axis. Szy 2y+1, 1<v<…

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Q: 10. Find the surface area of the solid generated by revolving the line segment y = vx + 1 , 1 < x <…

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Q: 15) Consider curve C which is the intersection of the surfaces shown in the attached figure. The…

A: The equation of the graphs given are as follows: x=-34y2+3y=yz=y22 We are asked to evaluate the…

Q: Find the area of the surface generated by revolving the given curve about the y-axis. x = 8y + 3, 0…

A: Note: If x=fy≥0 and continuously differentiable on a,bThe area of the surface generated by revolving…

Q: Find the area of the surface generated by revolving the given curve about the x-axis. y = x, 0 < x <…

A: Given that y=x and 0&lt;=x&lt;=3 find the surface area generated by the revolving the given curve…

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 2(x2 –…

A:

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

A: We need to find surface area.