Find the surface area of the surface resulting from revolving the curve -= 2x+1 on the interval [0,1] around the x-axis O 3 T/2 O 5 T/2 O 5TW 10 O 4 TW5

Q: Find the area of the surface generated by revolving the semicircle y = √1 − x about the x-axis over…

A: Given that, y=1-x. dydx=121-x-12·-1=-121-x 1+dydx2=1+-121-x2=1+141-x=1+14-4x=4-4x+14-4x=5-4x4-4x

Q: Calculate the area of the surface generated when the curve, y = Vx is revolved on the interval [1<…

A: Consider the equation

Q: The surface area of the surface generated by revolving y =x³ , 0 Sx<1 about the x- axis is

A: Given : y= x3    ,  limit  0 to 1

Q: Find the surface area of revolution about the y-axis of y=6x+3 over the interval 0 ≤ x ≤ 3

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Q: Find the area of the surface generated by revolving the curve a. y = V1+ e* between x = 0 and x = 1…

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Q: 12. Find the surface area for the surface of revolution formed by revolving the curve y = v4 – x?…

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Q: Find the surface area of revolution about the x-axis of y = 7x +7 over the interval 2 <x < 3

A: Given function,     y=f(x)=7x+7, 2≤x≤3f'(x)=dydx=7Here lower limit is 2 and upper limit is 3

Q: Find the surface area when the curve C = {(x,y): 0 < x < 2, y² = 2 x} | about the x-axis.

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Q: Find the surface area of revolution about the x-axis of y 7 sin(7z) over the interval 0 <z VI

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Q: Find the area of the surface generated by revolving the curve a. y = V1+ e* between x = 0 O and x =…

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Q: Find the surface area of revolution about the x-axis of y=4x+3 over the interval 0≤x≤1

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Q: Consider the surface of revolution formed by revolving the curve y = 1/x, 1 < x < a about the…

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Q: Find the area of the surface generated by revolving the curve x = 2 cos θ,       y = 2 sin θ,   0 ≤…

A: If x=f(t), y=f(t) then surface area is, About x axis: S=2π∫abydxdt2+dydt2dt About y axis:…

Q: Find the surface area of revolution about the x-axis of y = 2x + 7 over the interval 0 <x <1

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Q: Find the area of the surface generated by revolving y = Vx +1 from r = 1 to x = 5

A: The objective is to find the area of the surface generated by revolving y=x+1 from x=1 to x=5.

Q: Find the area of the surface generated by revolving the curve about the indicated axis. y = V, 0,5 s…

A: First I have written the formula of are of surface of revolution about y axis on an interval, just…

Q: 5. Find the surface area when the curve C = {(x,y): 0 < x < 2, y² = 2 – x} about the x-axis.

A: Surface area

Q: Find the surface area generated by rotating the curve f(x) = 6 – 2x, 1 < x < 3, about the x-axis.

A: We first find the derivative of the given function

Q: Find the surface area generated by rotating the given curve about the y-axis. x = 6t2,    y = 4t3,…

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Q: Find the surface area of revolution about the x-axis of y=4x+3 over the interval 2≤x≤5

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Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the…

A: The curve is x2+y2=82

Q: calculate the surface area of the solid obtained by rotating the curve over the g.iven interval…

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Q: Find the area of the surface generated by revolving about x-axis the part of the curve y = sin x,…

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Q: Find the surface area of revolution about the x-axis of 5z +3 over the interval 1 < z < 2

A: y=5x+3 &amp; given interval 1≤x≤2As we know surface area of revolution abput x-axis from x=a to…

Q: Find the surface area generated by revolving about the x-axis the curve y=2(15-x)^1/2, from x=0.59…

A: Area =integration of 2πg(x) √1+(g'(x)) 2 dx

Q: compute the surface area of revolution about the x-axis over the interval

A: The given function is

Q: Find the area of the surface generated by revolving the given curve about the yy-axis.…

A: Given curve is, x=25-y, -1≤y≤0 Now, differentiating with respect to y we get,…

Q: Find the surface area generated by revolving y=5x+2 about the x axis on the interval [0,6]

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Q: 7 Find the area of the surface generated by revolving x = 2/4-y, 0sys about the y-axis.

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Q: Find the area of the surface generated by revolving x=t^2      y=2t.     t∈0,4) around the x-axis

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Q: Find the surface area of revolution about the x-axis of y = 2 sin(4x) over the interval 0 <I<

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Q: Find the surface area of revolution about the x-axis of y = 3x + 2 over the interval 0 < z <1

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Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the…

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Q: Find the area of the surface generated by revolving the curve y = 3sqrt(x)  between x = 0 and x = 4…

A: Given curve, y=3x x = 0 and x = 4

Q: Express the area of the surface obtained by rotating the curve y =In sec(2x) between x = 0 and x =…

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Q: find the surface area by rotating the curve about the y-axis; y=x^3 from x=0 to x=2

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Q: 2. Determine the area of the surface generated by revolving a given curve about a given axis. a.…

A: Formula to find the surface area by revolution helps to find the required surface area. Formula to…

Q: Find the surface area of revolution about the x-axis of y 6x + 3 over the interval 2 < x < 5

A: In the question the curve given is - y=f(x)=6x+3 , 2≤x≤5 We need to find Surface area of revolution…

Q: Find the surface area of revolution about the y-axis of y = 12 – 3x? over the interval 0 < x < 2.

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Q: Find the area of the surface of revolution obtained by rotating the function y=sin(x) on the…

A: Here is the given curve and the interval it is bounded by: y=sin(x) interval {0,pi} about the x…

Q: Find the surface area of revolution about the y-axis of y = 5x + 1 over the interval 0 < x < 3

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Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the…

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Q: The area of the surface generated by revolving the line x = y from x= 0 to x=2 about the y-axis:…

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Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-9x.

A: Given: y=e-9x and 0, 1 To find the surface of revolution about the x-axis on 0, 1 The formula for…

Q: compute the surface area of revolution about the x-axis over the interval. y = x, [0, 4]

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Q: Find the surface area of the curve f (x) = x over [1,2| rotated .3 3 about the – axis -

A: The revolution of the curve y = f(x) around the x-axis is: S=2π∫abf(x)(f'(x))2+1dx

Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x =…

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Q: Find the surface area of revolution about the x-axis of y = 6 sin(7x) over the interval 0 < x < 7

A: Here we have y=6sin(7x)  We have to find surface area of revolution about x axis in interval 0 to…

Q: Find the surface area generated by rotating y=(1/3)x^3 bounded by y=0 , x=0 , and x=9 about the the…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.