Find the length of the curve. 8t3/2j + 3t2 k, r(t) = 12ti + 0

Q: Q3/ Find the lengths of the curves (L) for the equation as shown below. (25 M.) x = (/3) + 1/(4y)…

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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: 7) Find the exact length of the curve. x= e' +e', y =5-2t; 0<t<3

A: Solution:Givenx=et+e-t     y=5-2t     0≤t≤3To find the length of the curveFormula:Length of the…

Q: The diagram shows a sketch of the curve with equation y = -r +7x 12 1 3. -2- 8 CMA Q3 Find the…

A: For the solution follow the next step.

Q: Find the exact length of the curve x = 5 + 12t? for 0 <t <1 y = 6 + 8t3

A: The objective is to find the exact length of the curve x=5+12t2, y=6+8t3 for 0≤t≤1 Now, dxdt=24t and…

Q: Find the shortest distance between and the curve y=\x-1. Select one: V11 a. O b. O c. V13 O d. 2

A: Let (x,y) be the point on the curve where the distance to the given point is shortest. So the…

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

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Q: Find the exact length of the curve: x = e' -t y = 4e/2 Osts4 O e2 +3 e2 +4 e*+3 4 e*+4 O None of…

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Q: Find the exact length of the curve given by 2t2 t3 (0 <t < 5). x = Length = ||

A: Solve for the length of curve

Q: Find the exact length of the curve. y - 4 + 2x 3/2, o sxS1 1.547

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

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

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Q: 2. Find the lengths of the given curves: a) y = x/2 -x2,1sK< 4 L = V1+f(x)*dx 3

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Q: 3t? Find the length of the curve x = t, y 2 osts 13. 3 =

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Q: 2 y = In (x-√x²-1), for 1 ≤ x ≤ √/485 (Hint: The length of the curve is (Simplify your answer)

A: Topic:- application of derivatives and integration

Q: Q1. Find the length of the of the curve y -x2 X2 from x = 0 to x = 3.

A: Given curve is, y=13x32-x12 To find the length of the curve from x = 0 to x = 3

Q: 64. Find the length of the curve y = 1 - e",0 SISI.

A: Formula to find the length of the curve helps to find the required length. Formula to find the…

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

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Q: y = 1/2 (e² + e^¹), − 1 ≤ x ≤1

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Q: a)Find the exact length L of the curve 3y? = (4x – 3)°, 1 0. Answer: b) Evaluate Sxe*dx Answer: 1 c)…

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

A: Given polar curv er=eθ   ; 0≤θ≤2π

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

A: Find the exact length

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

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Q: 8) Wihat is the length of the pot Df the curve y2=(x-1)between the points (4,0) ond (2,4) ?

A: Let f(x) be a smooth function over the interval [a,b]. Then the arc length of the portion of the…

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: A particle P moves on the curve r= 3i + 4t²j. The distance of P from the origin when t =1 is

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Q: y = e*, 0<z<1.

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Q: Find the length of the curve. t,0stsV3 The length of the curve x = t°, y= ť on 0sts 3 is (Type an…

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Q: Find the length of the curve: a = t°, y = *; 0<t< v120 3t Find the length of the curve: x = t°, y =…

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Q: 3 Q1. Q1. Find the length of the of the curve y = x2 X2 - from x 0 to x 3.

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Q: Find the length of the curve. r(t)=(8t,t^2,(1/12)t^3),0 (less than or equal to) t (less than or…

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

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Q: Find the length of the curve r= e2θ, 0≤θ≤2

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Q: 3t2 Find the length of the curve: x = t°, y = ;0<t < V168

A: As per bartleby guidelines for more than one question, only 1st one is to be answered. Please upload…

Q: 3t/2 Find the length, s, of the parameterized curve, x =3 e ° - 4t, y = 8 e 3t over the interval…

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Q: At time t, the position of a body moving alongthe s-axis is s = t3 - 6t2 + 9t m. Find the total…

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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: 7. Find the exact length of the curve: x (t) = 2t, y(t) = 2t, 0 ≤ t ≤ 1

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Q: Q: Find the point on the curve 4x' +a'y = 4a', 4< a < & that is farthest from the point (0,-2).

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Q: 1. Find the length of the curver = e°/R where 0<0s 2n 10 20 11m

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Q: Q4/ Find the length of the curve y () (x² + 2) from x 0 to x= 3.

A: The length of a curve f(x) on an interval [a,b] is: L=∫ab1+(f'(x))2dx Where f'(x) is the first…

Q: Find the length of the curve 7(t) = (9t2, In(t), 6t) for 1 < t < 3

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Q: Find the exact length of the curve. 1 1 s x s 3 y 4x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: n of the curve, L. (x+ 1)* , 0 0

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Q: 6. Find the exact length of the curve. x = 3t2, y = 2t3 ;0 <t < 2

A: Here given  Differentiate the above function with respect to t

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: Q6 Find the length of the arc of the curve in the given range, y3 x = 16y + 4y² + 0<y< 4 %3D 3 4(y +…

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Q: Q1. Find the length of the of the curve y= from x = 0 to x = 3.

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Q: Find the length of the curve y =1+6x?on the interval 0<x<1.

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Q: Find the exact length of the curve (x=t?cost ly=t?sint Osts2n (n? + 4)3/2 - 4] 3 a. 4 + 4)3/2 – 1]…

A: The given implicit function is,  x=t2cost, y=t2sint0≤t≤2π