Find the exact area of the surface obtained by rotating the given curve about the x-axis. 0 S x 1 y 1e

Q: Find the area of the surface that is generated by revolving the portion of the curve y= x² between x…

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Q: HW: Find the area of the surface generaled by revolving 3. x = y3, 0 sy s1 about y-axis.

A: Given  x=y3

Q: 7. Let C be the curve y = 3x for 0 <x S 1. 0.5 Find the surface area of revolution of C about the…

A: Given: y=3x3 for 0≤x≤1

Q: 3. Find the area of the surface generated by revolving about the y-axis the part of the curve y = x?…

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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: Given the surface x²y + y° z+ z?x = 38. Find the normal line and the tangent plane to the given…

A: A detailed solution is given below.

Q: nhuille Find the area of the rotaional L'C surface formed by rotating the part of the Curve given by…

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Q: Find the surface area generated by rotating the given curve about the y-axis. x = e' - t, y = 4e/2,…

A: *to find:- surface area, when rotating about y axis.

Q: Find the surface area generated by revolving the curve E: x(t) = 3t, y(t) = 2t |(0 < t< 1) about the…

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Q: Compute the surface area of the surface generated by revolving the curve c(t) = (t², t) about the…

A: Let x=f(t) , y=g(t) , a≤t≤b be a parametric curve. Then the area of surface generated by revolving…

Q: Let C be the curve y = 9x° for 0 < x < 1.2. 14 12 10 8 6 4 2 0.5 1 Find the surface area of…

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Q: Find the exact area of the surface obtained by rotating the given curve about the y-axis. |x = 3t 0…

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Q: Find the surface area of the region that comes from rotating the given curve about the y-axis: x =…

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Q: Find the surface area generated b rotating the portion of the parabolic arc x = y^2 from x =0 and x…

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Q: c) Find the surface area generated by rotating the curve y = (x²+2)³/2, 0≤x≤3 about the y-axis.

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Q: Which of the following curves would generate equal surface area when revolved around x and y axes? y…

A: We have to check which curves would generate equal surface area revolved around x and y axis.

Q: Find the area of the surface that is generated by revolving the portion of the curve y= X between x=…

A: We can solve as follows

Q: Find the area of the surface obtained by rotating the curve y = +, 1<1<2 about the y-axis. (a) 7(4 +…

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Q: Find the surface area generated by rotating the given curve about the y-axis. x = et - t, y = 4et/2,…

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Q: Let C be the curve y = 6x for 0 S< 1.2. %3D 10 8. 7- 6- 5- 4. 2- 0.5 1 Find the surface area of…

A: Given: Let C be the curve y=6x3 for 0≤x≤1.2

Q: Find the surface area obtained by revolving the parabola x? = 4y from x = 0 to x = 2 about the…

A: If a curve f(y) is revolving about the y-axis over the interval [a,b], then the surface area is:…

Q: 3x° for 0 < x < 2.3. Let C be the curve y 36 32 28 24 20 16 12 4- 2 1.5 0.5 Find the surface area of…

A: Given,

Q: find the area of the surface generated when the given is revolved about the given axis y = 8√x, for…

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Q: x (t) = 3t – t3 y (t) = 3t2 %3D 0 st< 3

A: It is given that xt=3t-t3, yt=3t2 and 0≤t≤3. The  surface is rotated about the x-axis, thus the…

Q: Find the area of the surface obtained by rotating the given curve about the x-axis. Round your…

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Q: find the exact area of the surface obtained by rotating x=t^3,y=t^2, 0&lt;t&lt;1 about the x-axis.

A: y=t^2 so t= sqrt(y)x=t^3= (sqrt(y))^3 = y^(3/2)x=y^(3/2) (graphed this equation)

Q: Find the surface area of the region that comes from rotating the given curve about the y-axis: x =…

A: If x=x(t) and y=y(t) then surface area of the region rotating about y-axis is given by…

Q: Find the area of the surface obtained by rotating the given curve about the x-a T x = 5 cos (0), y =…

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Q: Determine the resulting surface area when the curve y = x is rotated about the y-axis in the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the approximate area of the surface obtained by rotating x = - (y° + 2)/², 1 sys2 about the…

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Q: Find the area of the surface generated when the given curve is revolved about the y-axis. y= (3x/3,…

A: Note: "Since you have asked multiple questions, we will solve the first question for you. If you…

Q: nd the exact area of the surface obtained by rotating the given curve about the y-axis. x = 3t2, y =…

A: Use area formula about yaxis for parametric

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

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Q: Let C be the curve y = 5/a for 2.6 < a < 4.7. %3D 10 4 3 4. Find the surface area of revolution…

A: Function  y=5x for 2.6≤x≤4.7Formula→Surface area about x-axisS=∫ab2πy1+dydx2dx,  a≤x≤b

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8zy = 2y + 1,…

A: A curve is given by, 8xy2=2y6+1 where 1≤y≤2. The objective is to find the area of the surface…

Q: 32. Find the area of the surface generated by rotating the portion of the curve y-2 from x= 0 to x =…

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y6 +…

A: We need to find the surface integral.

Q: Which of the following curves would generate equal surface area when revolved around x and y axes?…

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

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

A: The derivative of a function gives the rate of change of it with respect to some other variable.…

Q: Given the curve z = √a² - y² over the interval 0 ≤ y ≤a/2, f d the surface area of the solid formed…

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Q: Let C be the curve y = 4√√x for 2.1 ≤ x ≤ 4.8. 8 7 5 4 3 2 1 2 3 4 Find the surface area of…

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Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. x = acos'…

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Q: 30. Find the surface area generated when the portion of the curve y² = 12x from x = 0, x = 3 is…

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Q: Find the surface area generated by rotating the given curve about the y-axis. = et – t, y = 4e/2, 0…

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8ry? = 2y® +…

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Q: 33. Find the surface area of the portion of the curve x²+y²4 from x₁=0 to x-2 when it is revolved…

A: We need to determine the surface area that is resulted when the portion of the curve: x2+y2=4 from…

Q: The area of the surface obtained by rotating the curve y = et +e asxsb, about the x-axis is 1/2 e2 +…

A: Find the surface area rotating the curve about x axis

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

A: Given; y=x^2 between x=1 to x=2

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

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.