Find an arc length parametrization r, (s) of r(t) = (e' sin(t), et cos(t), 9et). Assume t(s)=0 when s= 0, and t'(0) > 0. T₁(8)=()

Q: (7) Find the lengths of the curve r =2/(1 - cos 0), a/2<0<n.

A:

Q: Find the arclength of r = (1+sin(2θ))^(1/2) for 0 <= θ <= π

A:

Q: 4. Find d?y/dx² for the following functions: b) y = cos*(sec² 3x)

A:

Q: What is the point of intersection of the tangent lines to the curve r(t) = sin(πt)i + 8sin(πt)j +…

A: Let us consider the given curve r(t) the tangent line is obtained as Find the derivative of the…

Q: Find F(t) such that F'(t) = sec³ (t) tan³ (t) and F (3) = 0.

A:

Q: At what points the curve x = 2a(cos(t))-a(cos(2t)), y = 2 a(sin(t))-a(sin(2t)) has vertical and…

A: Given: The curve equations are shown below. x=2acost-acos2ty=2asint-asin2t Calculation:…

Q: 2. Use implicit differentiation to find dy/dx: e"y+ In(arcsin 2y) = 3ª ln y + 5.

A:

Q: V. The tangent line at the point (t, y) = (- to 4'2 1 Then, the curve y = cos t is y = bt - - - a a…

A:

Q: Find T, N and B for the curve 7(t) (2 cos(2t), 2 sin(2t), 5t) at the point t = 0 Give your answers…

A:

Q: Find unit tangent of curve r(t)=

A:

Q: ) If y = cos2x + 2cosx for 0 < x < 2n. Find the points at which the tangent line is horizontal.

A: Given function is y=cos2x+2cosx for 0≤x≤2π. To find the points at which the tangent line is…

Q: Find y' and y". . sin3y=x²+tany+1

A:

Q: Calculate when t = dr given that = (t – sin t) y = (1– cos t)

A:

Q: Find an equation of the line tangent to the curve defined by the equations X = sin(2t) y = cos(2t) z…

A: