samantha Oh Math 142 LR X section LR X Spring 2019 Instructor Kathlene Hockaday WebAssign 10 2 Homework Current Score 16 19 Due Friday May 10 2019 11 59 PM EDTLast Saved n a Saving 1 1 1 points Previous AnswersSCalcET8 10 2 001 Find dy dx x t 1 t y 1 t dy dx 12 1 t 32 2 1 1 points Previous AnswersSCalcET8 10 2 003 Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter x t3 1 y t10 t t 1 y 3x 3 1 1 points Previous AnswersSCalcET8 10 2 007 Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the parameter x 5 ln t y t2 5 y 2x 4 5 6 4 0 1 points Previous AnswersSCalcET8 10 2 005 Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter x t cos t y t sin t t y x 2 5 3 3 points Previous AnswersSCalcET8 10 2 011 Find dy dx and d2y dx2 x t2 5 y t2 7t 2t 7 2t dy dx d2y dx2 74t3 For which values of t is the curve concave upward Enter your answer using interval notation 0 6 3 3 points Previous AnswersSCalcET8 10 2 025 Show that the curve x 5 cos t y 6 sin t cos t has two tangents at 0 0 and find their equations y 65x smaller slope y 65x larger slope Sketch the curve 7 1 1 points Previous AnswersSCalcET8 10 2 031 Use the parametric equations of an ellipse x a cos y b sin 0 2 to find the area that it encloses ab 8 1 1 points Previous AnswersSCalcET8 10 2 029 1 At what point on the curve x 6t2 5 y t3 8 does the tangent line have slope 2 x y 29 0 9 1 1 points Previous AnswersSCalcET8 10 2 041 Find the exact length of the curve x 4 9t2 y 2 6t3 0 t 4 6 17 17 1 10 1 1 points Previous AnswersSCalcET8 10 2 042 Find the exact length of the curve x et 9t y 12et 2 e2 17 0 t 2 11 1 pointsSCalcET8 10 2 049 Use Simpson s Rule with n 6 to estimate the length of the given curve Round your answer to two decimal places x t et y t et 6 t 6 12 2 2 points Previous AnswersSCalcET8 10 2 051 Find the distance traveled by a particle with position x y as t varies in the given time interval x 4 sin2 t y 4 cos2 t 0 t 3 24 2 What is the length of the curve 4 2 13 0 1 points Previous AnswersSCalcET8 10 2 061 Find the exact area of the surface obtained by rotating the given curve about the x axis x t3 y t2 0 t 1 6 381 14 1 1 points Previous AnswersSCalcET8 10 2 063 Find the exact area of the surface obtained by rotating the given curve about the x axis x a cos3 y a sin3 6 a25 0 2