Find the exact length of the curve. x = et - 4t, y = 8et/2, 0 sts 4

Q: Find the exact length of the curve. x = 8 + 12t2 y = 3 + 8t3 Osts 3

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Q: Hw. Find the lengths Ror the fallowing Curvere 2-

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Q: r = 3sin(Ɵ) Draw the curve, explaining it down to the smallest detail.

A: Given equation is r=3sinθ We have to draw the curve of r=3sinθ. First of all convert the given polar…

Q: = y}2 /3 – y!2, 9 < y< 81 %3D

A: By using length of the curve formula, we calculate the required length of the curve.

Q: Find the exact length of the curve a 1+ 3t", y = 4+2t", 0 <ts1.

A: Exact answer is 2(2√2 -1)

Q: Find the exact length of the curve. x = 7 + 12t, y = 5 + 8t, 0sts 4

A: Given :      x=7+12t2 ,y=5+8t3 ,  0≤t≤4

Q: Find the length of the curve. r(t) = √√2ti + etj+ek, 0≤t≤7

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Q: Find the length of the curve: 7= Scos 4. t2.

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Q: Find the exact length of the curve. x = 1 + 9t?, y = 8 + 6t, 0st< 3

A: Solve the following

Q: Find the exact length of the curve. y? = 16(x + 1)³, 0 0

A: The given curve is y2=16(x+1)3,y&gt;0y=4(x+1)32 Now, differentiate y with respect to x.…

Q: Find the exact length of the curve. x = 4 + 9t2, y = 3 + 6t, 0stsi

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Q: Find the length of the curve y? = r between the points (0, 0) and (4, 8)

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Q: Find the exact length of the curve. x = et − 9t,    y = 12et/2,    0 ≤ t ≤ 2

A: Note that:Arc length formula = ∫abdxdt2+dxdt2 dt                   where , a≤t≤b       Given,…

Q: Find the exact length of the curve. x = 8 + 9t?, y = 3 + 6t, 0 sts4

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Q: the sloper of the curve 2y = ax? +b at (1,–1) is – 1.Find a, b

A: We have given the sloper of a curve at (1, -1) is -1 .  We have to find the value of a and b.

Q: Find the exact length of the curve. x = 1 + 9t2, y = 8 + 6t, 0 sts 4

A: Answer is mentioned below

Q: Find the length of the curve, L. y? = 16 (z+ 3),0sIs1. y > 0

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Q: Find the length of the curve. Vzti + e'j + e-tk, 0 sts 3

A: Given data:     The given expression is: r(t)=&lt;21/2ti+etj+e-tk&gt;. The given limits of t are:…

Q: Find the length of the curve, L. y = 16 (a + 3)", 0s s1. y> 0

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Q: Find the exact length of the curve 36y? (x² – 4)³, 2 0.

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Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 4 0 23.335

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Q: Find the exact length of the curve. 23/2, Osxs 6

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

A: Find the exact length

Q: Use the arc length formula to find the length of the curve y = 5 - 4x, -2 s x S 4. Check your answer…

A: We have to use arc length formula and distance formula to find length of curve.

Q: Find the length of the curve. r(t) = (4t, 0 <ts 1

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Q: Find the lengths of the following curves. x? 2 а. у %3 + In x, 3sx<6 8 2 y - 8 In 8 y .3sys 18 b. x…

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Q: Find the exact length of the curve. x = 4 + 6t2 y = 6 + 4t3 0 sts 4

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Q: Find the exact length of the curve 3 + 9t? for 0 <t < 4 2 + 6t3

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Q: Find the exact length of the curve. x = 1 + 3t2, y = 9 + 2t, 0sts 4

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Q: Find the exact length of the curve. y (y-3), 4sys 16 X =

A: use derivative for finding the exact length.

Q: Find the exact length of the curve. x = et − t,    y = 4et/2,    0 ≤ t ≤ 5

A: We will use arc length formula to solve this questions

Q: . Find the length of the curve C : r(t) = (4t, t2 – In(t²)), 1<t< 4.

A: Explained below

Q: ) Find the length of the curve determined by 7 (t) = 2t7 + V3t27 + t

A: To find the length of the curve

Q: Find the exact length of the curve. 36y =(x+4). 5 5 x s 6, y 20

A: Given: 36y2=(x2-4)3,  5≤x≤6,  y≥0 Arc length of curve y=f(x) on [a, b] can be calculated by…

Q: Find the exact length of the curve. X √(y - 3), 16 ≤ y ≤ 25

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Q: Find the length of the curve. Vzti + etj + e-tk, Osts 3

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Q: 1 1-Зу?, /1 – 3y, x = 0.05 < у < 0.2 L = %3D

A: As per the guidelines in case of multiple questions I am.supposed to do the first problem. Kindly…

Q: Find the exact length of the curve. 1 + x?)3/2, 0sxs2 y

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Q: Find the exact length of the curve given by a = t° ,y (0 <t< 4). Length =

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Q: Find the exact length of the curve. x = et + e=t, y = 5 – 2t, 0st< 4

A: The solution are next step

Q: Find the length of the arc of the curve in the given range, y3 +. 3 1 x = 16y + 4y² + 0 < y< 4…

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Q: Find the length of the curve. 2ti + etj + e k, 0<tS 4

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Q: 9t4 – 1dt, 1< x < 5 y = L = %3D

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Q: Explain how to find the length of the curve                         r(t) = ⟨ƒ(t), g(t), h(t)⟩, for a…

A: To Determine: Explain how to find the length of the curve Given: we have rt=&lt;f(t),g(t),h(t)&gt;…

Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 5< xs 6,

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Q: Find the length of the arc of the curve in the given range, y3 1 x = 16y + 4y² + 3 0 <y< 4 - 4(y…

A: we have to find th length of the arc for the given curve .

Q: The length of the curve z=z(t)=5e", Ostsa is а) 12л b) л c) 157 d) 2

A: Sol :-                Are length in (a,b) if functions are                               x(t) , and…

Q: 2 Determine the length of the curve = = t³, y: 31² 2,0 ≤t≤ √3.

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Q: Find the length of the curve. r(t) 4 it2j3k, 0 st s 1

A: Consider the curve x = 4, y = t2 and z = t3.The derivatives are

Q: Find the exact length of the curve. x = 1 + 9t, y = 8 + 6t, 0sts 3

A: Explanation of the answer is as follows