Problem 62E: For the following exercises, each set of parametric equations represents a line. Without eliminating... Problem 63E: For the following exercises, each set of parametric equations represents a line. Without eliminating... Problem 64E: For the following exercises, each set of parametric equations represents a line. Without eliminating... Problem 65E: For the following exercises, each set of parametric equations represents a line. Without eliminating... Problem 66E: For the following exercises, determine the slope of the tangent line, then find the equation of the... Problem 67E: For the following exercises, determine the slope of the tangent line, then find the equation of the... Problem 68E: For the following exercises, determine the slope of the tangent line, then find the equation of the... Problem 69E: For the following exercises, determine the slope of the tangent line, then find the equation of the... Problem 70E: For the following exercises, determine the slope of the tangent line, then find the equation of the... Problem 71E: For the following exercises, find all points on the curve that have the given slope. 71.... Problem 72E: For the following exercises, find all points on the curve that have the given slope. 72.... Problem 73E: For the following exercises, find all points on the curve that have the given slope. 73.... Problem 74E: For the following exercises, find all points on the curve that have the given slope. 74.... Problem 75E: For the following exercises, write the equation of the tangent line in Cartesian coordinates for the... Problem 76E: For the following exercises, write the equation of the tangent line in Cartesian coordinates for the... Problem 77E: For the following exercises, write the equation of the tangent line in Cartesian coordinates for the... Problem 78E: For x=sin(2t),y=2sint where 0t2 . Find all values of t at which a horizontal tangent line exists. Problem 79E: For x=sin(2t),y=2sint where 0t2 . Find all values of t at which a vertical tangent line exists. Problem 80E: Find all points on the curve x=4cos(t),y=4sin(t) that have the slope of 12 . Problem 81E: Find dydx for x=sin(t),y=cos(t) . Problem 82E: Find the equation of the tangent line to x=sin(t),y=cos(t) at t=4 . Problem 83E: For the curve x=4t,y=3t2 , find the slope and concavity of the curve at t = 3. Problem 84E: For the parametric curve whose equation is x=4cos,y=4sin , find the slope and concavity of ?le curve... Problem 85E: Find the slope and concavity for the curve whose equation is x=2+sec,y=1+2tan at =6 . Problem 86E: Find all points on the curve x=t+4,y=t33t at which there are vertical and horizontal tangents. Problem 87E: Find all points on the curve x=sec,y=tan at which horizontal and vertical tangents exist. Problem 88E: For the following exercises, find d2y/dx2 . 88. x=t41,y=tt2 Problem 89E: For the following exercises, find d2y/dx2 . 89. x=sin(t),y=cos(t) Problem 90E: For the following exercises, find d2y/dx2 . 90. x=et,y=te2t Problem 91E: For the following exercises, find points on the curve at which tangent line is horizontal or... Problem 92E: For the following exercises, find points on the curve at which tangent line is horizontal or... Problem 93E: For the following exercises, find dy/dx at the value of the parameter. 93. x=cost,y=sint,t=4 Problem 94E: For the following exercises, find dy/dx at the value of the parameter. 94. x=t,y=2t+4,t=9 Problem 95E: For the following exercises, find dy/dx at the value of the parameter. 95.... Problem 96E: For the following exercises, ?nd d2y/dx2 at the given point without eliminating the parameter. 96.... Problem 97E: For the following exercises, ?nd d2y/dx2 at the given point without eliminating the parameter. 97.... Problem 98E: For the following exercises, ?nd d2y/dx2 at the given point without eliminating the parameter. 98.... Problem 99E: For the following exercises, ?nd d2y/dx2 at the given point without eliminating the parameter. 99.... Problem 100E: For the following exercises, ?nd d2y/dx2 at the given point without eliminating the parameter. 100.... Problem 101E: For the following exercises, ?nd d2y/dx2 at the given point without eliminating the parameter. 101.... Problem 102E: For the following exercises, ?nd d2y/dx2 at the given point without eliminating the parameter. 102.... Problem 103E: For the following exercises, find d2y/dx2 at the given point without eliminating the parameter. Find... Problem 104E: For the following exercises, find the area of the regions bounded by the parametric curves and the... Problem 105E: For the following exercises, find the area of the regions bounded by the parametric curves and the... Problem 106E: For the following exercises, find the area of the regions bounded by the parametric curves and the... Problem 107E: For the following exercises, find the area of the regions bounded by the parametric curves and the... Problem 108E: For the following exercises, find the arc length of the curve on the indicated interva1 of the... Problem 109E: For the following exercises, find the arc length of the curve on the indicated interva1 of the... Problem 110E: For the following exercises, find the arc length of the curve on the indicated interva1 of the... Problem 111E: For the following exercises, find the arc length of the curve on the indicated interva1 of the... Problem 112E: For the following exercises, find the arc length of the curve on the indicated interva1 of the... Problem 113E: For the following exercises, find the arc length of the curve on the indicated interva1 of the... Problem 114E: For the following exercises, find the arc length of the curve on the indicated interva1 of the... Problem 115E: For the following exercises, find the arc length of the curve on the indicated interva1 of the... Problem 116E: For the following exercises, find the arc length of the curve on the indicated interva1 of the... Problem 117E: For the following exercises, find the arc length of the curve on the indicated interva1 of the... Problem 118E: For the following exercises, find the arc length of the curve on the indicated interva1 of the... Problem 119E: For the following exercises, find the area of the surface obtained by rotating the given curve about... Problem 120E: For the following exercises, find the area of the surface obtained by rotating the given curve about... Problem 121E: For the following exercises, find the area of the surface obtained by rotating the given curve about... Problem 122E: For the following exercises, find the area of the surface obtained by rotating the given curve about... Problem 123E: For the following exercises, find the area of the surface obtained by rotating the given curve about... Problem 124E: For the following exercises, find the area of the surface obtained by rotating the given curve about... format_list_bulleted