3. Find the curvature of the curve given by 7(t) = (t, t², t) nt (-1, 1, –1).

Q: Find the moving trihedral and the curvature at any point of R(t) = (t²,– cos 8t, sin 8t).

A: Moving trihedral are three unit vectors of curve  Unit tangent vector  Unit normal vector  binomial…

Q: Find the curvature K of the curve. r(t) = 4 cos 2rti + 4 sin 2rtj K =

A:

Q: 4. Find the curvature * 5 K of the curve ř (1) = (e' cos(t), e' sin(t), 3) at t = 0.

A: Given data: The given expression for the curve is r→(t)=et cost, et sint,3. The given point is t=0.…

Q: (a) Find the curvature and the radius of curvature of the curve r(t) = 3 cos ti +4 sin tj + tk at t…

A: Given r(t) = 3 cost i + 4 sint j + t k

Q: 3. (a) Find the curvature (t) for the vector-valued function (t², 2t, In t), t > 0. (b) Find where…

A: Basic identities of differentiation and vector calculation are used

Q: 3. Find the curvature of the plane curve (t, t") at t = 1.

A: see below the answer and calculation as per bertleby guideline I have to solve only 1 question. For…

Q: The curvature of the curve 7(t)=<6t, 6t+1, sin2t) at t= 4 is

A:

Q: 6. Find the curvature k at t = 1 if r (t) = 3tỉ +2t²j +k.

A:

Q: Find the curvature of the curve r(t). r(t) = (3 + 6 cos 9t) i - (8 + 6 sin 9t)j + 6k Group of…

A:

Q: Find the curvature of the curve r(t) = eti + 4tj at the point P (1, 0) .

A:

Q: 8. Find the curvature of the plain curve y = e.

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

Q: 2 - Find the curvature of the curve at the point (1, 0, 0). r(t) (e' cos(t), et sen(t), t) %3D

A:

Q: Find the curvature K of the curve at the point P. r(t) = Pi + tj + 1, 3 2 K = %3D

A: Given that rt=12t2i+tj+13t3k and point is P12,1,13. It is required to find the curvature K at the…

Q: 22. Find an equation for the circle of curvature of the curve r(r) = (2 In )i- [t + (1/]j, esIse, at…

A: The formula for the curvature is given by  κ(t)=r⇀'(t)×r⇀''(t)r⇀'(t)3 In order to use this formula,…

Q: Q2/Find the curvature of the curve, r= (4 cos n i+4 sin n j) .n=(In 2t)

A:

Q: Let C be the curve defined by 7(t) = (2+2 sin(t), 3 – 2 cos(t)) for 0 <t< L (e + 4z) dz + (2zye" +…

A:

Q: Find the curvature of the curve given by r(t) = (4sin t, t, 4 cos t).

A: To find - Find the curvature of the curve given by rt = 4sint, t, 4cost     Formula used -…

Q: Consider the curve C parametrized byx = (t^2+1)/(t^2-1) and y = (2t)/(t^2-1) for all t in (−∞, −1 )…

A: Given:

Q: 23. Find the unit tangent vector T and the curvature k for the following parameterized curve. r(t) =…

A:

Q: Find an equation for the circle of curvature of the curve r(t) = (2 ln t)i - 3t + (1/t)4j, e-2…

A: Consider the given curve as,

Q: For KEIRT and TEIR construct Co-Curve Y: IR→IR³ with constant Curvature K and constant torsion T

A:

Q: Find the curvature of the curve r(t) = et cos ti + et sin tj + etk at the point P(1, 0, 1) .

A: Given curve is rt=etcosti+etsintj+etk.…

Q: Find the radius of curvature of the curve r=t°i+ 2t´j- - tk at the point where t= 1

A: Since you posted multiple question in this question which are not interlinked so i have solved first…

Q: Find the curvature K(t) of the curve r(t) = (2 sin t, 2, 2 cos t) when t = T/ 4 1 2 O 1 8 1 8 4 O 2

A:

Q: Find the curvature k of the curve r(t) = e2ti + e2t cos(t) j+ e2t sin(t) k %3D

A: The given function is: r(t)=e2t,e2tcos(t),e2tsin(t) So, r'(t)=2e2t,2e2tcos(t)-e2tsin(t),2e2tsin…

Q: 1. Find the moving trihedral and the curvature at any point of the curve R(t) = cos t î + sint ĵ+ k.

A:

Q: Find the curvature K of the curve. r(t) = 6 cos 3nti + 6 sin 3ntj K =

A: Find the derivative r’(t) and double derivative r” (t) for the curve r (t).

Q: 4. Find the radius and centre of curvature of the curve x = (1 - at) cos t + a sin t, y = (1 – at)…

A:

Q: Find the curvature of the plane curve at the pointindicated. y = t^4, t = 2

A: By Curvature we mean that to which extent any plane or graphical function is curved along onto a…

Q: Find the curvature K of the curve. r(t) = 4 cos 2nti + 4 sin 2ntj K.

A:

Q: The curvature of the curve 7 (t)={2t, 2t+1, sin2t) at t= is 4 O 1 O 1 O 2 1/818 1/2

A: Here the given curve is r(t)⇀ ==(2t,2t+1,sin2t) Here we have to find the curvature of the curve at…

Q: The curvature of the curve 7(t)=6t, 6t+1, sin2t) at t= is 4 18 1 8 0 1 1/2 2.

A: we have to find the curvature

Q: 15. y= 2x +3 at x = 27

A:

Q: The curvature of the curve 7 (t)= (2t, 2t+ 1, sin2t) at t= TT is 4. 1 18 O 1 1/8 1/2 O O O O

A: The given curve is r(t)→=2t,2t+1,sin(2t) We know that the curvature κ(t) for r(t)→ is given by the…

Q: 6. Consider the same curve from the last problem, C parametrized by T(t) = (2 cos t, –1,2 sin t)…

A:

Q: Find the radius of curvature of the curve generated by the position vector r (t) = (-40 sin(t),–9t,…

A: Given, r(t)=-40sint,-9t,40cost r'(t)=-40cost,-9,-40sint r'(t)=-40cost2+(-9)2+-40sint2=41…

Q: 4. Find the equation of the tangent plane to the surface ey + In(xz) – evz = 0 at the point (1,0,…

A: Given:

Q: 1) Calculate the curvature of the position vector F(t) = sin t ax + 2cost ay + V3 sin t āz is a…

A: Formula of Curvature(K) of the position vector r(t):…

Q: 8. Find the curvature of the vector-valued function r(t) = at the point t = -1.

A: given function is rt=3t2,-4t,1t find the curvature at t=-1 k=r→'t×r→''tr→'t3

Q: Find the equation for the tangent plane to the surface z= In (7x + 10y + 1) at the point (0,0,0).

A:

Q: Find the curvature of the curve C: r (t) = (et, e', t) at t = 0

A:

Q: Find the curvature K of the curve, where s is the arc length parameter. M(²) = (₁ + √2/2 =) ₁ - (₁ -…

A: we have to find curvature.

Q: Find the curvature of the parabola f(x)= ax +bx+c at its vertex 2a ’

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Find the moving trihedral and the curvature at any point of R(t) = (t²,– cos 8t, sin 8t). -

A: Given is : R→(t)=t2,-cos(8t),sin(8t) In order to find the curvature use the formula . Formula for…

Q: Find the curvature, torsion and tangent plane for the curve C : x = t sin(2t); y = t cos(2t); z = 2t…

A: We have to find the curvature, torsion, and tangent plane for the givne curve.

Q: 8. Find the curvature of the curve with parametric equation y = t³ –t and x = t? – 2t at t= 2.

A: Given parametric equations : y=t3-tx=t2-2t To find the curvature at t=2 The curvature is given by  :…

Q: 10. Find the curvature K of the given curve. r(1) = ti +2sin(t)j+2cos (1)k

A: Curvature κ of the given curve r→(t) is T→'(t)r→'(t) where T→(t) = r→'(t)r→'(t).

Q: et +e- find the length of the curve h(x) = from r = 0 to z = In 2.

A: The standard formula for arclength will be used in solving this problem. The typeset solution is…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.