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UB MTH 121 - 10.2 Homework

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Current Score : 16 / 19 Due : Friday, May 10, 2019 11:59 PM EDT1. 1/1 points | Previous AnswersSCalcET8 10.2.001.Find 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. 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 theparameter.y =2x−4 10.2 (Homework)samantha OhMath 142 LR-X, section LR-X, Spring 2019Instructor: Kathlene HockadayWebAssignLast Saved : n/a Saving... ()dy/dx.x = , y = t1 + t1 + t =12(1+t)(32) dydxx = t3 + 1, y = t10 + t; t = −1y =−3x x = 5 + ln(t), y = t2 + 5, (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. 5. 3/3 points | Previous AnswersSCalcET8 10.2.011.Find and 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 has two tangents at (0, 0) and find their equations. y =−65x (smaller slope) y =65x (larger slope) x = t cos(t), y = t sin(t); t = πy =−πx−π2 dy/dx d2y/dx2.x = t2 + 5, y = t2 + 7t = (2t+7)2t = −74t3 dydxd2ydx2x = 5 cos(t), y = 6 sin(t) cos(t)Sketch the curve.7. 1/1 points | Previous AnswersSCalcET8 10.2.031.Use the parametric equations of an ellipse, to find the area that it encloses. πab 8. 1/1 points | Previous AnswersSCalcET8 10.2.029.At what point on the curve does the tangent line have slope 9. 1/1 points | Previous AnswersSCalcET8 10.2.041.Find the exact length of the curve.6(17√17−1) 10.1/1 points | Previous AnswersSCalcET8 10.2.042.Find the exact length of the curve.e2+17 x = a cos(θ), y = b sin(θ), 0 ≤ θ ≤ 2π,x = 6t2 + 5, y = t3 − 8 ?12(x, y) = 29,0 x = 4 + 9t2, y = 2 + 6t3, 0 ≤ t ≤ 4x = et − 9t, y = 12et/2, 0 ≤ t ≤ 211.–/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.) 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.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.6√381π x = t − et, y = t + et, −6 ≤ t ≤ 6x = 4 sin2(t), y = 4 cos2(t), 0 ≤ t ≤ 3πx = t3, y = t2, 0 ≤ t ≤ 114.1/1 points | Previous AnswersSCalcET8 10.2.063.Find the exact area of the surface obtained by rotating the given curve about the x-axis.6πa25 x = a cos3(θ), y = a sin3(θ), 0 ≤ θ ≤


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