Consider the polar curve given by the equation Let l be the tangent line to this...

Transcribed Image Text:

Consider the polar curve given by the equation Let l be the tangent line to this curve at 0 = /2. Then the slope of l is and the equation of l is Write x^y Write x*y Write x/(y*z) Write pi r(0) = (0 ) for - for xy for xy (* is required) for y-z for T (* and parenthesis are required) [0, 2]. Consider the parametric curve r(t) = (x (t), y (t)) = (10 cos (t ), 10 sin(t )), t [0, 2]. E Find the set S consisting of all t [0, 2] at which r' (t) is parallel to the line in xy-plane given by x = 70. Answer S = {[ Answer entry help: Beginning on the left hand side, enter one number in each answer field in the increasing order and without duplication; in case you have fewer numbers than answer fields, enter 999 into each of remaining fields (on the right). Write x^y Write x*y Write cos(z) Write sqrt(z) Write In(z) Write pi Write e Write (a/b)*pi for xy for xy (* is required) for cos z (parenthesis are required) for (parenthesis are required) for In z (parenthesis are required) for T for e for (a/b); no spaces Consider the polar curve given by the equation Let l be the tangent line to this curve at 0 = /2. Then the slope of l is and the equation of l is Write x^y Write x*y Write x/(y*z) Write pi r(0) = (0 ) for - for xy for xy (* is required) for y-z for T (* and parenthesis are required) [0, 2]. Consider the parametric curve r(t) = (x (t), y (t)) = (10 cos (t ), 10 sin(t )), t [0, 2]. E Find the set S consisting of all t [0, 2] at which r' (t) is parallel to the line in xy-plane given by x = 70. Answer S = {[ Answer entry help: Beginning on the left hand side, enter one number in each answer field in the increasing order and without duplication; in case you have fewer numbers than answer fields, enter 999 into each of remaining fields (on the right). Write x^y Write x*y Write cos(z) Write sqrt(z) Write In(z) Write pi Write e Write (a/b)*pi for xy for xy (* is required) for cos z (parenthesis are required) for (parenthesis are required) for In z (parenthesis are required) for T for e for (a/b); no spaces