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Questions tagged 'Arc Length'

3 questions

A
Anonymous

Jan 21, 2025

Find the length of the curve r(t)=cos(4t) i+ sin(4t) j + 4ln(cos(t)) k 0

I am trying to find the length of the curve defined by the parametric equation ( r(t) = \cos(4t) \, \mathbf{i} + \sin(4t) \, \mathbf{j} + 4 \ln(\cos(t)) \, \mathbf{k} ). Using the arc length formula,...

A
Anonymous

Nov 24, 2024

Find the arc length function for the curve y = 2x^3/2 with starting point P0(36, 432).

Could you please help me find the arc length function for the curve defined by the equation ( y = 2x^{3/2} ), starting from the point ( P_0(36, 432) )?

A
Anonymous

Nov 17, 2024

What is the arc length of sqrt(2-x^2) – Calc II question?

To find the arc length ( L ) of the curve defined by ( y = \sqrt{2 - x^2} ) for the interval ( 0 \leq x \leq 1 ), please use the arc length formula. Additionally, you may verify your answer by recogni...