
3. Find the length of the curve y = y=for 0 < x < 2.
Find the exact length of the curve. x = t 2 + t' y = In(2 + t), 0<t< 5 1.2986 Need Help? Read It Watch It Talk to a Tutor
Find the length of spiral curve T() = ----- 0 < > < 2”
Q2- Find the length of the curve y = ln(x2 – 1) for 2 < x < 5.
(2 points) Find the exact length of the curve y = In(sin(x)) for #/6 <</2. Arc Length Hint: You will need to use the fact that ſesc(x) dx = In|csc() - cot(3) + C.
6 the curve Find the length of y = 2 en (sina) <XT
T Find the length of the curve e' cos(t) e' sin(t) for 0 < t < 2 y (Hint: You can simplify the integrand by expanding the argument inside the square root and applying the Pythagorean identity, sinº (0) + cos²O) = 1.)
2. Let a curve be parameterized by x = integral for the length of the curve. t3 – 9t, y=t+3 for 1 <t< 2. Set up (but do not evaluate) the
Find the length of the curve 3 v=ln(1 +t), 0< < 2. 1+ Length
(1 point) Find the area of the surface obtained by rotating the curve y = yæ about y-axis for 1 < y < 2. Area: