Consider the following. x = sin(t) y = csc(t) 0<t</2 (a) Eliminate the parameter to find...
Consider the following x= sin(2). y= cos3). -#585 (a) Eliminate the parameter to find a Cartesian equation of the cure. Consider the following. x = tano), y = sec(0), -/2 < 0 <w/2 (a) Eliminate the parameter to find a Cartesian qquation of the curve.
Eliminate the parameter to sketch the curve: 2 = sin -0, 1 y = cos -0, 20, - <O<a
Consider the following. x = sin zo, y = cos ze, isesi (a) Eliminate the parameter to find a Cartesian equation of the curve.
(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.
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.)
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
1. For x = tanht , y = sech^2 , a. Eliminate the parameter to find a Cartesian equation of the curve. b. Sketch the curve with orientation. 1. For x = tanht, y=sech? t , a. Eliminate the parameter to find a Cartesian equation of the curve. b. Sketch the curve with orientation.
25. Given the following parametric curve X(t) = -1 + 3 cos(t) y(t) = 1 + 2 sin(t) 0<t<21 a) Express the curve with an equation that relates x and y. 7C b) Find the slope of the tangent line to the curve at the point t c) State the pair(s) (x,y) where the curve has a horizontal/vertical tangent line. 27.A particle is traveling along the path such that its position at any time t is given by r(t) =...
3. Find the length of the curve y = for 0 < I<2.
3. Find the length of the curve y = y=for 0 < x < 2.