Find the length of the curve. y 3x 3/2 from x = 0 to x = О 335 162 О 335 O 1 O335 243 559 3.

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. Round to two decimal places. 1 y = 3 5 <x < 6 4x

A: Given,           y=x33+14x ; 5≤x≤6To find : The length of the curve. We know that,          The…

Q: Find the length of the arc of the curve in the given range, y3 1 x = 16y + 4y? ++ 0sys4 4(y + 4) '

A:

Q: Find the length of the curve below from the the point P = (1, 2) to the point Q = (8, 5). 2² = (y –…

A: The length of arc for curve y=fx from x=a to x=b is given as follows. L=∫ab1+dydx2dx The given curve…

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

A: Given the curve

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: The length of the curve y= is equal to x =3: from to 을(x2 + 2) O a. 12 Ob. 1 O c.9 Od. 3

A: We can use the application of integration in order to solve the given problem.

Q: Find the exact length of the curve. = 글Vy (y-3), 16 sys 25 X =

A:

Q: Find the radius of the osculating circle to the curve r(t) = (cost,3sint) IT at t = 3

A:

Q: What is the length of the curve arc AV543/2 r(t) = (9t)i + (6t²)j + 3 k for 0 <t< 4? (a) 130 (b) 131…

A: We have to find the arc length of the curve rt=9ti+6t2j+4543t32k for 0≤t≤4.

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

A:

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

A: Given curve: x=et+e-t, y=5-2t We have to find exact length of the curve at 0≤t≤4. Length of the…

Q: Find the length of the curve y = x³/2 from x = 0 to x = 5. O 12.407 O None of these O 14.702 O…

A:

Q: Find the length of the curve given by ř () = (6t, 12/T, 3Int) for 1<tse. O 8e-4 O 2e-1 O 4e - 2 O…

A:

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 exact length of the curve. 36y2 = (x2 – 4)³, 4 < x < 9, y 2 0

A: Given:

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 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: Find the exact length of the curve x = tsint, y = t cost where 0 ≤ t ≤ 1.

A: answer is in next step

Q: What is the length of the latus rectum for the curve, (x + 3)2 + 4(y – 1)² = 4 а. 2 O b. 1 О с. 4 O…

A:

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

A:

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

A: Given polar curv er=eθ   ; 0≤θ≤2π

Q: Find the length of the curve. Round to two decimal places. 23 y = 3 1 ,1 <x < 4 4x'

A:

Q: Find the exact length of the curve for the parametric equation

A: Let's say the length of the curve is L.  0 ≤ t ≤ 1 Hence, the desired length will be calculated as:

Q: Find the length of arc of the curve 6xy = x^4 + 3, from the point where x=1 to the point where x=2

A: The given curve is: 6xy=x4+3 y=x46x+36xy=x36+12x Differentiate it: dydx=3x26-12x2dydx=x22-12x2

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

A:

Q: Find the length of the curve.y=x3+14x,1≤x≤2. Round the approximation to 4 decimal places.

A: The length of the arc from point a to b is given by:

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

A:

Q: Find the length of the curve 24xy = y + 48, 2 < y < 4 Select one: 17 85/85-8 243 V5 80V10-13 13 27 O…

A:

Q: Find the exact length of the curve. 1 y = 3+ cosh 2x, 0<1<1 2

A: we need to evaluate the Length of curve where  0 ≤ x ≤ 1

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

A:

Q: Find the exact length of the curve. y = 4 =Dx2-을 In(x), 1sxs6 =

A:

Q: The arc length of the the curve x =V9 - y2 - 3<y<3 is equal to Select one: О Зл O 9T О бл 18T

A:

Q: Find the length of the curve parameterized by x = 2 + 3t² and y = 3 + 2t³ from t = 0 to t = 3.

A: To find the length of the curve parameterized by x=2+3t2 and y=3+2t3 from t=0 to t=3.

Q: Find the exact length of the curve. y = In(sec(x)), 0 <x< a/6

A:

Q: Find the exact length of the curve.42. x = et − t, y = 4et/2 , 0 ≤ t ≤ 2

A: Given eqn : x=et-t,  y=4et/2 ,  0≤t≤2 So, we use dxdt=et-1,  dydt=2et2   Length of the curve =…

Q: Find the exact length of the curve. x = e' +", Osys 4

A: Given function is  x = e^y +(1/4)e^-y

Q: The length of the curve y = (2+ 2x )3/2 between x=0 and x=2 is O 41/3 O 45/2 O 43/2 O 47/3 49/6 ООО…

A:

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

A:

Q: What is the length of the curve I= cost +tsint, y=sint - tcost, (0 <t< 2n) ?

A:

Q: Find the length of the curve 24xy = y + 48, Select one: 85/85-8 243 80/10-13/T3 27 O None of these

A:

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

A: In the question we have to find length of Arc of the curve.

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: ind the exact length of the curve. X = 8 4y2' 1sys 2

A:

Q: Find the lengths of tangent, subtangent, normal and subnormal to y=4ax at ( at,2at).

A:

Q: Find the length of the curve given by r(t)=〈t sqrt(2),e^t,e^(-t)〉with 0< t <4

A:

Q: The arc length of the portion of the curve y=x² with 0<x<4 is попе s=7.7868 sz9.0734 s=10.1938

A: As we know that the expression for the arc length of the curve is:   S=∫abf'x2+1dx   Given:…

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 +…

A:

Q: Find the length of the curve r(t) = for 0 ≤ t ≤ 2π Enter the exact value.

A:

Q: Find the exact length of the curve. Y=y4/8 + 1/4y2, 1 less than or equal to Y less than or equal 2.

A: Given: Y=y48+14y2 , 1≤y≤2 As, the length of the curve, L is given by: L=∫ab1+dydx2dx According to…