Given R(t) = (1 – 4 cos t)î + 3 cosĵ + 5 sin tk, find the a. arc length of the portion of R(t) from t = 0 to t = t; b. moving trihedral of the curve R(t) at t =" 3

Q: Find the point on the curve r(t) (12 sin t)i – (12 cos t)j + 9tk at a distance a) 5n units and b)…

A:

Q: Find the point on the curver(t) = (12 sin t)i - (12 cos t)j + 5t k at a distance 13p units along the…

A:

Q: Find the arc length (s) of the curve r(t) = (- e*, 2e, – 4e*) for 0 <t < In(3) S =

A: To find the arc length of the curve

Q: Calculate the arc length of y=1/8ln(cos(8x)) over the interval (0, pi/24)

A:

Q: Find the arc length L of the graph of r(t). r(t) t L= = ³²³i + 1 j + 1/2 √√61² k, 25157 = i

A:

Q: If the arc length s of the curve C : r (t) = cos(t)i + sin(t)j + from t = 0 to t = b is 20 units,…

A:

Q: Find the arc length (s) of the curve 7(t) = (4 cos( – 4t), 2/5 cos( – 4t), 6 sin( – 4t)) for 0 <t <…

A: Given that  The curve is  To find the arc length of the curve

Q: Find the arc length (s) of the curve 7 (t) = (12 sin(5t), 2/11 cos(5t), 10 cos(5t)) for 0 <t<T S =

A:

Q: Given R(t) = (1 – 4 cos t) î + 3 cos ĵ + 5 sin t k̂, find the arc length of the portion of R(t)…

A:

Q: Given r(t) = et sin t i + et cos t j + v2etk, a) find the arc length function for the curve measured…

A: (a) Given a curve rt=etsinti^+etcostj^+2et k^, to find the arc length of the curve measured from the…

Q: 2. Write an arc length parameterization for the curve r(t) = cos ti + sin tj + 3t k ; 0<t

A:

Q: Given: parametric curve H defined by x(t) tan¯¹ t and y(t) = e¹t, where t = R (a) Find the slope of…

A:

Q: If the arc length s of the curve C:r (t) = cos(t)i + sin(t)j+2tk from t = 0 to t = b is 20 units,…

A: The arc length of a parametric curve defined by the vector r→=f(t), g(t), h(t) defined over the…

Q: Find the arc length of the curve r(t) = (2t3/2, cos 2t, sin 2t) from t = 0 to t = 1. %3D

A:

Q: Find arc-length of the following curve 0 <t < 2 x = sin (t) Y = cos'(t)

A:

Q: Let the curve C be given by r(t) = (cos(3t), t, sin(3t)). %3D (a) Reparametrize the curve with…

A: (a)  Given, r→(t)=cos(3t),t,sin(3t)....................(1) Differentiating,…

Q: Find the exact arc length of the graph of y==x² -- In(x) where xe[1, 2e].

A: Given : f(x)=14x2−12lnx    on  x∈[1,2e]

Q: Use the arc length formula 2 dx 2 L = dy dt dt dt to find the arc length of the curve. x = cos 12t,…

A:

Q: For the curve x = sin(t) - tcos(t), y = cos(t) + tsin(t), z = t2, find the arc length between (0, 1,…

A:

Q: Use the arc length formula 2 dx dy L + dt dt dt to find the arc length of the curve. x = cos 12t, y…

A:

Q: 2. Find the point on the curve r(1)=(5sint)i-(5cost)j+12tk at a distance 267 units along the curve…

A:

Q: Find the arc length L of the graph of r(t). r(t) = 2 cos(t)i +2 sin(t)j+tk, 0<t< 2m L =

A:

Q: Find the point on the curve r(t) = (5 sin t)i + (5 cos t)j + 12t k at a distance 26paiunits along…

A:

Q: Find the arc length L of the graph of r(t). r(t) = 2 cos(t)i + 2 sin(t)j + tk, 0≤ t ≤ 2π

A: Given :

Q: 3. Find the arc length for x(t) = 3cos(t), y(t) = 4sin(t) for 0sts 2n

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the arc length L of the graph of r(t). r(t)= 4 cos(t)i + 4 sin(t)j + tk, 0 ≤ t ≤ 2π

A: The formula for the arc length is given by: L=∫02π(x'(t))2+(y'(t))2dt Here,…

Q: Find the arc length of the curve F(t) = (cos" (t),0, sin (t)) from t 0 to t

A:

Q: The curve C is parametrized by r(t)  =  ,     0  ≤  t  ≤  2. (a) Compute the arc-length function…

A:

Q: Find the point on the curve r(t) = (5 sin t)i + (5 cos t)j + 12tk at a distance 26n units along the…

A:

Q: x = 4 sint, y= In(1+t), (-2<t <1).

A:

Q: Find the point on the curve r(t) = (12 sin t)i - (12 cos t)j + 5t k at a distance 13pai units along…

A: Given,

Q: Given: parametric curve H defined by x(t) = tan¯¹t and y(t) = e¹t, where t € R (a) Find the slope of…

A: Given that parametric curve H defined by x(t) = tan-1t       and    y(t) = e4t , t ∈R           we…

Q: Find the arc length L of the graph of r(t). r(t) = 4 cos(t)i + 4 sin(t)j+ tk, 0<t< 2m L

A:

Q: cos(7t), 3t >. Find the arc length parameter s(t) with base point at P(t0) where t0 = 4.

A: Here is solution

Q: Find the arc length of the following curve on the given interval. y = 1/2(e^x+e^-x) [ln2,…

A: Find  the  arc  length  of  the following  curve  on  the given interval. y = 1/2(e^x+e^-x) [ln2,…

Q: Find the arc length L of the graph of r(t). r(t) = 6 cos(t)i + 6 sin(t)j + tk, 0<t< 2n 0 <t< 2n L =

A:

Q: Let f(x) = - 1. Calculate the arc length of the graph of r = g(y) over the interval z = 2 to a = 5.…

A: The given function is f(x)=x2-1 and the interval is x=2 to x=5 To find the arc length of the graph…

Q: Find the arc length (s) of the curve 7(t) = (e*, 4e", - 2et) for 0 <t < In(5) |

A: we are given the curve  r→(t)=e5t,-4e5t,-2e5t =e5ti-4e5tj-2e5tkwhere 0≤t≤ln5

Q: Find the arc length L of the graph of r(t). r(t) = 4 cos(t)i + 4 sin(t)j+ tk, 0<t< 27 L

A:

Q: Find an arc length parametrization r1(s) of r(t) = (e' sin(t), eʻ cos(t), 8e*). Assume t(s) = 0 when…

A: We have rt=etsint ,etcost, 8et Also, ts=0, when s=0 Now, we need to first find the arc length. For…

Q: 10. Find the point on the curve r(t) = (12 sin t)i – (12 cos t)j + 5tk at a distance 13 T units…

A:

Q: Find the arc length L of the graph of r(t). L r(t) = 12 cos(t)i + 12 sin(t)j + tk, 0≤t≤ 2m

A:

Q: Find the arc length L of the graph of r(t). r(t) = 10 cos(t)i+ 10 sin(t)j+ tk, 0<t< 2n

A: To find the arc length of the given graph.

Q: Find the exact arc length of the curve x = e2" (sin t – cos t),y= e2t(sin t + cos t) (-1<t< 1).

A:

Q: Given R(t) = (1– 4 cos t)î + 3 cosĵ + 5 sin t k, find the a. arc length of the portion of R(t) from…

A: Given the vector :

Q: 3. Find the arc length of the curve x = (1+t)², y = (1+t)*, 0 < t < 1. 4. Find the arc length of the…

A: 3.

Q: Find the arc length L of the graph of r(t). r(t) = 2 cos(t)i + 2 sin(t)j + tk, 0<t< 2n L =

A:

Q: Find an arc length parametrization r 1(8) of r(t) = (e' sin(t), e' cos(t), e*). Assume t(s) = 0 when…

A:

Q: Use the arc length formula 2 dy dt dx L = dt + dt to find the arc length of the curve. x = cos 61, y…

A: Arc length is the line integral of the curve along the given range. It is basically the length of…