Pre-Calc Homework Solutions 404

Pre calc homework solutions 404

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Unformatted text preview: 404 30. y so Section 10.1 0 for t 0 and t 2 .x a a cos t, y a sin t, (b) x t cos t, y 2 0 2 t sin t, so (t cos t)2 (t sin t)2 dt 2 Length 2 [a(1 2 0 2 t dt 0 Area 2 a cos t)] (a 2 a cos t)2 (a sin t)2 dt (a) x 2 2 34. All distances are a times as big as before. (1 cos t) 2 cos t dt a(cos t 2a t sin t), y 2 2 a2 8 a 2 0 2 0 2 0 2 0 a(sin t t cos t) t 2 sin2 2 t sin3 dt 2 t 4 sin2 dt 2 (b) Length For exercises 3538, x t 2 t dt 2 2 2 t cos3 3 2 0 v0 cos v0 sin and y v0 sin 32t, and y 0 for t 0 or t 8 a2 8 a 2 1 cos2 sin in mid-flight at t v sin /16 0 0 16 v0 sin 32 . The maximum height is attained . To find the path length, evaluate 32t)2 dt using NINT. To t 2 cos 2 (v0 cos )2 (v0 sin 64 a 3 2 find the maximum height, calculate cos t) ymax (v0 sin ) 31. dx dt a(1 v0 sin 32 16 v0 sin 32 2 . 0. (Note: integrate with respect to x from 0 to 2a ; integrate with respect to t from 0 to 2 .) 2a 35. (a) The projectile hits the ground when y y t t(150 sin 20 0 or t 16t) 0 3.206 150 sin 20 Area 0 2a 0 y dx a(1 2 cos t)a(1 2...
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