Find the area of the surface generated when the given curve is revolved about the given axis. y3 4x+3, for 0sxs6, about thex-axis The surface area is square units.

Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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

A: We know that surface area generated when the given curve is revolved about the given axis…

Q: Without using a calculator, for the following, find the area of the surface obtained by rotating the…

A: We need to find surface area.

Q: Find the area of the surface formed by revolving the portion in the first quadrant of the graph of…

A: Rearrange the given equation to find y in terms of x and thus f(x). Plot the curve and find the…

Q: Find the area of the surface pf revolution geneeated by revolvinh about y= -2 the arc of the…

A: Given, So, x=y212=gy ⇒g'y=y6 limit of y is from 0 to 6 The formula for finding the area is,…

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y=- x2 +…

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

A: Answer is mentioned below

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

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Q: Q5 Sketch the surface whose equation is given by (2 – 2)° = (2x² + 4y°).

A: We will use basic of graph plotting.

Q: Find the largest rectangle (that is, the rectangle with largest area)that fits inside the graph of…

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Q: Find the points on the surface y? = 36 + xz that are closest to the origin. smaller y-value (х, у,…

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Q: Find the area of the surface generated when the given curve is revolved about the y-axis. y-(3x)13,…

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Q: Find the surface area for the object obtained by rotating y=7x+2 about the x-axis over the interval…

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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 given curve is revolved about the given axis.…

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

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 12…

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Q: Find the exact length of the curve. y = x3/2, osxs 6 3

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

A: We know that,

Q: Find the area of the surface generated when the curve y = √(5x − x2) for 1 ≤ x ≤ 4 is revolved about…

A: Given : Curve y= √(5x − x2)  For 1 ≤ x ≤ 4 is revolved about the x-axis.

Q: 4x with 0 < x< 3 about the x-axis. 3 Find the area of the surface generated by revolving the curve…

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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 by revolving the curve y = /2x- x2 , 0.5 sxS1.25, about the…

A: Surface area = 2π

Q: Describe the shape of the surface: x? + y2 = 9. How would you describe the curve of the intersection…

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Q: Q3: Find the points on the surface x^2+z^2-25=0, closest to the origin.

A: Distance formula is d2=x2+y2+z2 .......(1) From the given equation z2=25-x2 ....... (2)

Q: Find the area of the surface generated by revolving the curve y = Osxs2, about the x-axis. 392x The…

A: We have to find the area of surface.

Q: d the exact length of the curve. y = 1 + 8x3/2, Osxs1

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

A: Find the surface area revolved about y-axis.The given curve is y = 15x – 4 between the points (8/15,…

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: The area, in square units, bounded by the curves y = x² + 4 and y = 3x +4 is Your answer

A: Consider the given curves. y=x2+4 and y=3x+4 Put the both curve equal to find the limit.…

Q: I have taken the integral of A, and I'm towards the end of finding B but I'm confused on how I use…

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Q: Luther is interested in surface area. Find the area of the surface generated when the curve y=6x+5,…

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

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Q: Find the exact length of the curve. y2 = 16(x + 4)3, osxs 2, y > 0

A: Given data:   The given expression is y2=16(x+4)3. The given limits of x is [a,b]=[0,2].   The given…

Q: Q3 Determine the area of a surface when the curve y==x² 3 1 x², 1<x<3, is revolved about 2 the…

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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: Find the sur face evreu of the object formed og rotating the part in the range < x <II about the…

A: Given the curve y=11x

Q: 9y=x²,0 ≤ x ≤ 2 ; x-axis

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Q: Find the length of the curve x = (y3/33) + (11/4y) on 3≤y≤5.

A: Consider the given curve f(y) and find the derivative w.r.t y.

Q: = V16 – x², -2<x<3, is rotated about the x-axis. Find the area of the resulting surface.

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Q: Find the area of the surface generated by revolving the curve x = .0sys1, about the y-axis. The area…

A: Given curve is x=y38, 0≤y≤1 We have to find the area of the surface generated by revolving the curve…

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y38x,…

A: We know that area of surface generated when the curve y=f(x) is rotated about x-axis is

Q: Find the area of the surface generated when the given curve just sayin revolved about the x-axis.…

A: SOLUTION-

Q: Consider a closed rectangular box with a square base with side z and height y. a. Find an equation…

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Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = √3x +7…

A: Ans = 40.5709π square units  For detail...go through the solution...

Q: Consider a closcd rectangular box with a square base with side æ and height y. a. Find an equation…

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Q: (i) On the same diagram, sketch the eurves y? =-* and y x (ii) Find the exact r-coordinate of the…

A: The solution is given below in the next step:

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

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Q: Find the area of the surface obtained by rotating the curve y = 3x3 from x = 0 to x : 4 about the…

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

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