Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t)=cos t i+3 t j+2 sin 2 t k, t=0 相关知识点: 试题来源: 解析 r'(t)=-sin t i+3 j+4 cos 2 t k ⇒ r'(0)=3 j+4 k. Thus T(0)=( r'(0))(| r'(0)|)=1(...
Question: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.r(t)=(7cost)i+(7sint)j+(52t)k,0≤t≤π5Choose the correct answer for the unit tangent vector of Find the curve's unit ta...
How to find tangent vector or velocity vector... Learn more about continuum robot, soft robot, velocity vector, tangent vector, unit tangent vector, curvature, curves, rotational matrices, 3d point
百度试题 结果1 题目Find the unttangentvectorto r(r) =(sin,t) a t = π. 相关知识点: 试题来源: 解析 T(π)=|(-1)/(√2),√2. 反馈 收藏
For the following parameterized curve, find the unit tangent vector: r(t)=⟨9cos(t),9sin(t),4cos(t)⟩, for 0≤t≤π. Parametric Curve: If a curve is defined in terms of a new parameter (say ′t′), instead of x and y, th...
Find the unit tangent vector of the given curve. (2t sin t+ 2 cos tfik 6) rt) (2t cos t 2 sin t)j B) T = (-2 sin ti A) T = (-sin t)j + (cos t)k C) T=-剖sin tj + D) T = (2 cost) cost)k 2 2 e curvature...
Principal unit normal vector: r→ (t) t T→(t) t r→ (t) N → (t) = T→′(t)|T→′(t)| Answer and Explanation:1 Given data The position vector of the curve is given as,r→(t)=ti^+6tj^,t=2. Sol... Learn more about this t...
解析 f(x,y)=xy\ ⇒ \ ∇ f(x,y)= y,x, ∇ f(3,2)=2,3. ∇ f(3,2) is perpendicular to the tangent line, so the tangent line has equation ∇ f(3,2)⋅ x-3,y-2=0⇒ 2,3⋅ x-3,x-2=0⇒ 2(x-3)+3(y-2)=0 or 2x+3y=12....
If {eq}f(x, y) = xy, {/eq} find the gradient vector {eq}\nabla f(5, 6) {/eq} and use it to find the tangent line to the level curve {eq}f(x, y) = 30 {/eq} at the point {eq}(5, 6). {/eq} Gradient Vect...
(a) Find a vector function, call r(t), that represents the curve of intersection of the elliptic cylinder x^2/2 +y^2 = 1 and the plane y +z = 2. (b) Find a unit vector tangent to the curve r(t) (as in Find a vector function that represent...