Find the exact length of the curve. x = 6 + 3t?, y = 2 + 2t3, 0 sts 5

Q: Find the exact length ot the curve

A: We have to find arc length of a curve  in a given interval .Curve is defined below:

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

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

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

A: Exact answer is 2(2√2 -1)

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

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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. y = 4 + 4x3/2, osxS1

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

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

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Q: Find the length of the curve x y? – 2y, 0< y < 2.

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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 (a + 3)", 0s s1. y> 0

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Q: Find the exact length of the curve. x = 6 + 12t2, y = 8 + 8t, 0sts1

A: If x=f(t), y=f(t) on [a,b] then length of curve is L=∫abdxdt2+dydt2dt

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 eauatjo aof the nor ma l to the curve 2. (x + 3)?y =3y-3x2

A: For any curve y=f(x), slope of tangents and normal at any point x1, y1 can be given by mT=dydx(x1,…

Q: Find the length of the curve, L. y? = 64 (x + 5)* , 0 0

A: The solution is given in the next step.

Q: Find the length of the curve. x- 4t°, y= 6t, 0sts 3

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Q: Find the exact length of the curve. x = 2 + 3t2, y = 5 + 2t3, 0sts 2

A: Given,

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

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Q: a) Find the length of the curve y = 5x/T - 6, 1<r< 3.

A: Arc length of the curve along x-axis

Q: Find the exact length of the curve. x = 8 + 12t2, y = 9 + 8t³, 0 st< 3

A: given parametric equation of curvex = 8+12t2 ,   y = a+8t3

Q: Find the length of the curve. Hand written plzz √2ti + etj + etk, 0 ≤t≤ 3

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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 = 6 + 6t2, y = 7 + 4t3, o sts1

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

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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 = 4 + 4x3/2, oSxS1

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Q: Q5) Find the length of the curve: r = asin? ,0 0.

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Q: Find the exact length of the curve.x = 3 + 6t2y = 8 + 4t30 ≤ t ≤ 4

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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. X √(y - 3), 16 ≤ y ≤ 25

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

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Q: Determine the length of the curve x = (y-1), where 4 <y <9.

A: Now differentiating given curve with respect to y, we get

Q: Find the length of the curve 7 (t) (9 In(t), 4t?, 12t) for 1 <t < 6

A: The given curve is r→t=9lnt, 4t2, 12t for 1≤t≤6 We have to find the length of this curve.

Q: 8- Find the lengthf the Curve are 24xy=x+48 Hem X=2 tox=y Hint The eure Can be written as fettow +2X…

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Q: Find the exact length of the curve. X = 3 + 6t2 y = 5 + 4t3 0 <ts 3

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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: Consider the curve r = (t2,1 – 3t, 1+ t³). (a) Find r'. (b) Does the curve pass through (9, –8, 28)?…

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A: The given curve C is as shown on the white board. Length, L is given by the standard formula shown…

Q: r= g° ,0<g<\5

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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: Find the exact length of the curve. x = 1 + 12t2, y = 4 + 8t3, 0 sts 3

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

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