(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.
3. Find the length of the curve y = for 0 < I<2.
Q2- Find the length of the curve y = ln(x2 – 1) for 2 < x < 5.
3. Find the length of the curve y = y=for 0 < x < 2.
Find the length of spiral curve T() = ----- 0 < > < 2”
Use logarithmic differentiation to find dy/dx. y = XV x2 + 25 X>0 dy - dx Need Help? Read It Talk to a Tutor
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
Question 2 QUESTION 2. MULTIPLE CHOICE. Find the exact arc length of the curve y on the interval 0 << 7. Show your work on a sheet of paper and clearly label it QUESTION 2. Make sure your work is in numerical order by question number 1024 27 128 27 1022 27 170 9 512 27
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.)
Consider the following. x = sin(t) y = csc(t) 0<t</2 (a) Eliminate the parameter to find a Cartesian equation of the curve. 1 y = X y