3. Find the surface of revolution. Round three decimal places. f(2) = .[1.4]

Q: ermine the surface area generated when a portion of the curve in the 1st quadrant of = 9(x² – a²) is…

A: We have to find the surface area of region.

Q: 1 2 #5) A) Find the length of a curve y Inx for 3 < x < 7. 4

A: L= integration of sqrt of 1+ (dy/dx)2 dx from a to b

Q: |-*^= 39. What is the length of the curve y = √x- between x = 0 and x = 2?

A:

Q: 4/2 % for 0 sxsl. Find the length of the curve y+1=- 3

A: The equation is y+1=423x3/2.   Differentiate with respect to x.…

Q: How far from the y-axis is the center of the curve 2x2 + 2 y2 + 10x – 6y – 55 = 0? O A. 2.50 ОВ.…

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Q: Find the exact length of the curve. y = 5 + + cosh(6x), 0 < x < 8 6 31

A: We have to find exact length

Q: Find the exact length of the curve. y4 1 X = 8 1sy< 3 4y2"

A: Here the formula of length of the curve is:

Q: 4. Find the length of the curve 7(t) = (t2,,t³,t) for 0st<4

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Q: tind the point on the curve y=Jx that is closest to the point (3,0).

A:

Q: Find the point on the curve y =√ x that is closest to thepoint (3 ,0) .

A: Let (x,y) be the point on the given curve which is closest to the point(3,0) where The distance…

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: How far from the y-axis is the center of the curve 2x2 + 2 y² + 10x – 6y – 55 = 0? %3D 2.50

A:

Q: 3. Find the length of the curve r = e® for 0ses 2n.

A: Given polar curv er=eθ   ; 0≤θ≤2π

Q: Find the exact length of the curve. 2 3/2 y = = 12, 0<xs 1

A: Given ,y=23x32Aim: To find length of curve in [0,1]We know that…

Q: 2. Find the exact length of the curve. y = 3 ,1 < x< 2 15+51

A: Find the exact length

Q: Find the exact length of the curve. X = 8. 1sys 2 4y2'

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

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Q: Find the exact length of the curve.y = 9 + 1/7 cosh(7x),  0 ≤ x ≤ 6

A: Given that: To find: Exact length of the curve

Q: Find the exact length of the curve. y2 = 16(x + 3)3,   0 ≤ x ≤ 3,  y &gt; 0

A: Given: Find the exact length of the curve.

Q: Find the exact length of the curve. y = 9 +  1 7  cosh(7x),  0 ≤ x ≤ 6

A:

Q: 3 y + 3 Find the length of the curve x = 18 2у on 3sys5.

A: Length of the curveL=∫ds where ds=1+dxdy2dy y is between 3  and 5…

Q: Find the point on the curve y = Vx closest to the point (1,0).

A:

Q: 9. Find the length of the curve defined by r(t) = (t, -1sts1.

A:

Q: 22. What is the equation of the normal to the curve y = 3x² – 2x + 7 at the point (1, 8)? А. х + 4y…

A: Solutions of both question are given below . May these help you.

Q: Find the exact length of the curve. 1 + 1sys 2 8 4y2

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Q: Find the point on the curve y = Vx +1 that is closest to the point (5,0)

A: We will use second derivative test to find the smallest distance among point (5,0) and curve

Q: 5) 3 = f(x) impending , 8y? = x2-x", ± sx r3 fomd Coleu lete the sunfoce orea of the y roteting…

A: We are given that 8y2 = x2 - x4 and 1/√3 ≤ x ≤ 1/√2. We need to calculate the surface area of the…

Q: 13. Find the length of the curve y4 + 8 from y = 1 to y = 4. X = 4y2

A: To find the length of given curve.

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: Find the exact length of the curve. x= (y4/8)+(1/4y2), 1&lt; y &lt; 2

A: The given function is,

Q: 3:09 AM ...0.1KB/s at 40 < April 8, 2020 22:10 2. At what point on the curve y= 4-3e* +8x is the…

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Q: 10. Circles tangent to the x-axis. Amm. (1+() =[yy +1+(

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Q: Find the exact length of the curve. y2 = 16(x + 5)3,   0 ≤ x ≤ 1,  y &gt; 0

A:

Q: h by Delermine the longth of the Curve y=flete?) between X-0 ond X= 2

A: Consider the given curve:

Q: et C be the curve y = 8/T for 2.4 < x < 3.7. 16 15 14 13 12 10

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Q: 10. Circles tangent to the X-axis. Amm. [1 + (y)*]° =[yy +1+(]".

A: Every function can be described through a differential equation. The differential equation defines…

Q: Find the exact length of the curve. x = 8 4y2' 1sys 2

A: Given, x=y48+14y2,1≤y≤2

Q: Find the area bounded by the curve y=- 16 A 10 square units B) 16 square units Ⓒ 8 square units (D)…

A:

Q: ind the exact length of the curve. X = 8 4y2' 1sys 2

A:

Q: (c) Find the length of the curve described by r = e30 for 0 < 0< 4.

A: Given, r=e3θ for 0≤θ≤4

Q: 5. What is the equation of the curve AB? X Depth B Specific Energy a) y + 2gy Q? у + Q b) у + 2gy Q?…

A: The curve AB represents  specific energy

Q: (c) Repeat part (a) using midpoints. M3 = M6 = Sketch the curve and the approximating rectangles for…

A:

Q: 13. Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)²=2y,…

A:

Q: How far from the x-axis is the center of the curve 2x2 – 2y2 + 10x – 6y – 55 = 0?

A: The given equation of the curve is: 2x2 – 2y2 + 10x – 6y – 55 = 0 This can be written as:

Q: Find the tangent line to the ellipse x^2+4y^2=8 parallel to the line x+2y=6.

A:

Q: Find the exact length of the curve. Y=y4/8 + 1/4y2, 1 less than or equal to Y less than or equal 2.

A: Given: Y=y48+14y2 , 1≤y≤2 As, the length of the curve, L is given by: L=∫ab1+dydx2dx According to…

Q: d the exact length of the curve. =√y (y - 3), (y - 3), 4 ≤ y ≤ 16

A:

Q: (b) Repeat part (a) using left endpoints. L3 = L6 = Sketch the curve and the approximating…

A: