#6.) Find the length of the curve described by F(t)=(t,ln(sect), In (sect +tant)) for Ostsi/4.
Find the length of the curve 3 v=ln(1 +t), 0< < 2. 1+ Length
Question 6 5 pts Find the length of the curve: * = 3t2 + 5 y=213 +5. for ostsi: a) 2/2 - 2 b) 4/2 c) 4/2-1 d) 472 - 2 e) None of these Өa
Q2- Find the length of the curve y = ln(x2 – 1) for 2 < x < 5.
Exercise. Let C be a curve drawn by: f(t) = (t?,tt) Find the length of the curve drawn by f as t runs from 0 to 1: length =
dg (1 point) Suppose g(x) = ln(ln(ln(f(x)))), f(6) = A, and f'(6) = B. Find the derivative dx g'(6) = x=6
(1 point) Find the length of the curve defined by y = 3 ln((x/3)2 – 1) from x = 6 to x = 8.
Find the exact length of the curve y = ln(1 - e-*) 0 SX 2.
(1 point) Find the length of the curve defined by the parametric equations 3 -1, X = y = 3 ln((t/4)2 – 1) from t = 6 to t = 7.
Find the length of the curve given in parametric form by x = f(t) = sin(t) and y = g(t) = In( V1 – t) for t e [0,1/2).
a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2<t<π/2. r(t) = (4 + t)i-(8+In(sect))j-9k, Find the tangential and normal components of the acceleration for the curve r(t)-(t2-5)i + (21-3)j +3k. a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2