9. Find the length of the curve: r = 1+ cos(28),0 < 0 < 2m

Q: 3. What is the length of the curve r = cos3 (-) where 0 < 0 <: sos

A: See the attachment

Q: Find the exact length of the curve 2 y = (x²– 1)3/2, 1< x < 3. Arc length =

A: We will use the arc length formula to.find the arc length of the curve.

Q: 3 The arc length of the portion of the curve y =x² with 0<x<4 is

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Q: 3. What is the length of the curve r = cos3 (-) where 0 < 0 <- 4

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Q: Find the length of the curve over the given interval. r = 1 + sin θ, [0, 2π]

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Q: Find the length of the following curve: y = ln(cos(x)) from x=0 to x=pi/4

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Q: 2. Find the length of the curve 0<t< 2n. r(t) e'i + e' sin 2tj + e' cos 2tk,

A: From the given problem :   rt=eti+etsin2tj+etcos2tk   So,   x=et, y=etsin2t , z=etcos2t .   As we…

Q: Find the arclength of the curve a = 8 cos(3t), y = 8 sin(3t) with 0 < t<. 9

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Q: 1 2. Find the length of arc of the curve x = + from the point where y = 1 to the point where y = 2.…

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Q: 3. Find the length of the curve y = In (cos x), 0 <x <

A: we have to find length of the curve

Q: 3 Find the arc length of the curve x -3y from y = 0 to y = 4.

A: The expression for the arc length of the curve is: L=∫ab1+dxdy2dy Given: x=-3y32a=0 &amp; b=4 Now…

Q: Show that the exact length of the curve below is y = Vr - r² – sin ¬1 (V7)

A: SOLUTION-

Q: Зп 2. Find the exact length of curve y = ln (cosx), * < x < n. 4

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Q: 4. Find the length of the arc of the curve 6xy=yt +3 from the point where y - 1 to the point…

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Q: Find the length of the curve y = ln(sec x ), x is an element of [0, pi/4]

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Q: 3. Find the exact arc length of the curve I = y+}y2 from y = 1 to y = 4.

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Q: Find the arclength of the curve x= 4cos(6t), y= 4sin(6t) with 0 less than or equal to t less than or…

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Q: Find the arclength of the curve y = * - In x if < y s-1. Do not simplify your answer for this…

A: Given: y=18x2−lnx18≤y≤e28−1

Q: 2 4. Find the length of arc of the curve x3 + y3 = 1 in the first quadrant from the point where x =…

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Q: Sketch the following curves 2. y = sin(x) + v3 cos(x) on [–27, 27].

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Q: Find the exact length of the curve. x = 7 cos(t) – cos(7t), y = 7 sin(t) – sin(7t),

A: given : formula for arc length is as below :

Q: Eliminate the parameter to express the curve in the form y = ƒ(x) . x = cos t, y = tan t

A: Given that, x=cost, y=tant We have to eliminate the t and express curve in the form y=f(x). As we…

Q: 1. Find the exact arc length of the curve 24.xy = y* + 48 %3D from y = 2 to Y = 4.

A: To find the exact arc length of the curve,24xy =y4+48from y=2 to y=4.

Q: Find the length of the curve 7(t) = (cos(4t), sin(4t), 5t) for – 8 <t< 1 Give your answer to two…

A: use the arc length formula for finding length.

Q: 7- Find the leng thof the Curve arce 34 from to y=4

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Q: Find the length of the curve x=1+2sin at, y=3–2 cos at, 0<t<l

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Q: 5. R = (sin 2t , cos 2t , 2t3/2), 0 <t<1.

A:

Q: 3 The arc length of the portion of the curve y=x 2 with 0<x<4 is

A: I have append the formula used to find arc length in the solution part.

Q: 2. Determine the arc length of the given curves a) y =+ 1<y< 2 3

A: s=∫y1y2 1+x'2 dyy'=3y23-14y2y'=y2-14y2s=∫121+y2-14y22dys=∫121+y4+116y4-2×y×14y dys=∫12y4+116y4+12…

Q: 8. Find the length of the curve defined by x = cos(2t), y = sin(2t) from t = 0 to t = n.

A: If x = f(t), y = g(t) in (a, b) then length of the curve is,

Q: Q1. Find the length of the of the curve y = In(cos x) from x = 0 to x = 4

A:

Q: 4. Find the length of the arc of the curve 8y = x + 2x-2 from the point where x = 1 to the point %3D…

A:

Q: In which direction is the curve x = -2 sin t, y = 2 cos t, for 0 ≤ t &lt; 2π, generated?

A: x = -2 sin t, y = 2 cos t Table for values of x and y: t x y 0 0 2 π 0 -2 π2 2 0 2π 0 2

Q: Find the exact length of the curve. x = 9 cos(t) - cos(9t), y = 9 sin(t) - sin(9r), Ostsn 9 cos (47)…

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Q: Find the exact length of the curve. y = In(cos(x)), TC 0 < x<.

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Q: Find the arclength of the curve z = 7 cos(3t), y = 7 sin(3t) with 0 < t< 12

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Q: Determines the length of the curve in the indicated interval x = 3 sin t+ 3t, y = 3cos t, 0stsm O 12…

A: Given curve is x=3sint+3t and y=3cost, 0≤t≤π. We have to determine the length of the curve on the…

Q: Find the exact arc length of the curve x = 3 0² +2) from y = 2 to y = 6. -

A: The arc length L of the curve x=13y2+232 from y=2 , y=6 is given by,                        L=∫26…

Q: he length of the curve y = sin(3X) from x = 0 to I= is given by

A:

Q: 3. Find the arc length of the curve æ = 5 + y3/2 between y = 0 and y = 2.

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Q: 3) Find the exact length of the curve. y = In(cos r), 0 < x<

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Q: Consider a curve parameterized by: c(t)=(sin^3(t),cos(t)) Compute dy/dx at the point ((sqrt(2)/4),…

A: Differentiate the given function as follows.

Q: 2. Find the arc length of the curve y = 16 from x-2 to x-3

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Q: Find the length of the curve. r(t) = cos(2t) i + sin(2t) j + 2 In(cos(t)) k, osts n/4

A: Given:

Q: 1. Find the arc length of the curve f(x) = 3 4 (x + 2)2 on the interval [0, 4]. 3

A: Find the arc length

Q: Q1. Find the length of the of the curve y = In(cos x) from x = 0 to x = . %3D

A: Explanation of the solution is given below...

Q: 1.) Use the arc length formula to find the length of the curve y = 3x + 2 on the interval 0 ≤ x ≤ 3.

A: Given data  y=3x+2 Interval ÷ 0≤x≤3 Formula for arc length is given by  L=∫ab1+dydx2dx