Find the length of the curve. r(t) = 2i + t2j + t³ k, 0 sts 1 %3D

Q: Find the length of the curve. r(t) 4t, t2, ostsi

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Q: Q6 Find the length of the arc of the curve in the given range, y3 4(у + 4)' 1 х %3D 16у + 4у? + 3 0…

A: Find the Arc length

Q: Find the length of the curve given by c(t) = (t*, t², tº), for t E [0, 1].

A: Given:- C(t) =(t4 , t2, t0 )  To find:- Length of curve [0, 1]

Q: Find the length of the curve. r(t) = 3ti + 8t3/2j+ 12t2 k, 0 sts 1

A: The given curve is: r(t)=3t i+8t32 j+12t2 k ;                0≤t≤1

Q: Find the length of the curve. r(t) = ( 8t, t², ), 0 <t< 1 %3D 12

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

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Q: (B) The length of the curve r(t)=(1+1i+(1-nj+rV2k from the point t= to the point t=; is 2. - 112

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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: Q6 Find the length of the arc of the curve in the given range, y3 1 16y + 4y2 + 3 x = 4(у + 4) + 4)…

A: Find Arc length

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

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Q: Find 2"dz for the case of z(= a) # z(= b), and when the curve is closed, that is when a b.

A: Note: We are not given any specification of n and the curve C. So, we have taken various cases here.…

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: Find the length of the curve. y = 2 – 4x, 1<a< 3 O 54 3V17 O 17 O 2y17

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Q: r(t) = 2t3 i + 2t j+ V6t? k calculate the length of the curve in the interval 0 st 3 consider a…

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Q: e length of the curve y = V 4 – x2, 0 <x< 2. ing the shape of the curve.

A: Use the arc length formula to find the length of the curve.  y=(4-x2)1/2 , 0&lt;=x&lt;=2

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

A:

Q: Find the length of the curve. r(t) 4t, t², Osts1

A: To find arc length of curve

Q: Find the length of the curve. r(t) = 4ti + 8t3/2j + 9t2 k, 0st<1 %3D

A: Please see the answer below

Q: r(t) = 6ti + 3/2ťj+2¢k, 0<t<1

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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: w Find the lengths for the fallowing curvers tar=lt cose 2.

A: find the length of both polar curve as following:-

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: 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 length of the curve given by c(t) = (t*,t²,tº), for t E [0, 1].

A:

Q: Find the length of the curve r(t) = (1,t2, t³). 0<t < 1.

A:

Q: Find the length of the indicated portion of the curve. r(t) = (1 + 4t)i + (1 + 8t)j + (2 – 2t)k, –…

A: To find the length of the indicated portion of the curve.rt=1+4ti+1+8tj+2-2tk, -1≤t≤0

Q: Find the length of the curve. r(t) = 8i + t2j + t³ k, 0sts 1

A:

Q: Q5 Find the length of the arc of the curve in the given range, y3 3 ' 4(y + 5) 1 x = 25y + 5y2 +…

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Q: x(t) = t² + 2t – 3 %3D y(t) = t² + 2t – 30 What is the length of the segment of the curve between t…

A: Given parametric curve is xt=t2+2t−3 and yt=t2+2t−30. We have to find the length of the segment of…

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: Find the length of the curve y = S Vcos t dt, 0 <x<n.

A: Given; The curve y=∫0xcost dt,      0≤x≤π .

Q: Q5 Find the length of the arc of the curve in the given range, уз + 3 1 25y + 5y2 + 0 <y< 3 4(y + 5)

A:

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 length of the indicated portion of the curve. r(t) = (1 + 4t)i + (1 + 8t)j + (2 – 2t)k, -…

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Q: Find the length of the curve r(t) (1,t²,), 0sts1 %3D «3 Ost<1

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Q: Find the length of the curve. r (t) = 9ti + 12tj+9t°k,0 < t< 3

A: Given r(t)=9t i +12t^3/2 j+9t^2 k Length of the curve =intergration|r'(t)|dt

Q: Q/B) Find the length of the cardioid curve: r 1+ cose

A:

Q: Find the length of the curve. r(t) = 8 i + t2 j + t3 k,    0 ≤ t ≤ 1

A: Given:

Q: the

A: We have to find the length of the given curve according to the given information

Q: Find the exact length of the curve (a) x = 1+ 3t2, y = 4+ 2t³, 0<t<1 (b) x = e' cost, y = e' sin t,…

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

Q: Q5 Find the length of the arc of the curve in the given range, х%3D25у + 5y? + y3 1 0<y<3 3* 4(y +…

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Q: Compute the length of the curve. = (1og(vE), V5t. ) fr for 1 <t< 4 2 c(t)

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Q: Find the length of the curve. r (t) = v2ti + e'j+e-*k, 0 < t < 5 L =

A: first we calculate the derivative for each component of given vector we get,        r'(t) = √2 i +…

Q: Evaluate S,lz| dz for the curves C1 and C2, both of which begin at a = 1 and end at b = -1. The…

A:

Q: Determine the length of the curve r(t) = 4sin(3t)i + 3tj + 4cos(3t)k, 0 <t < -. 2 Give your answer…

A: Arclegth of the position vector

Q: Find the length of the curve. r(t) = ( 6t, t2, 3 Ostsi

A: We find r'(t) using the power rule

Q: Q5 Find the length of the arc of the curve in the given range, y3 + 3 1 x = 25y + 5y2 + 0sys 3 4(y +…

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

Q: Find the length of the curve. (2^(1/2)) t i + et j + e−t k,     0 ≤ t ≤ 9

A: Given curve is rt=2t i+etj+e-tk , where 0≤t≤9 Differentiating the given curve with respect to t,we…

Q: Find the length of the curve. r(t) = ( 8t, t², ostsi

A: The required length of the curve is 97/12 units.