Answer Key
815
Review Exercises 367 . False. 369 . False 371 . 1 2 x +4 373 . 9 x 2 + 8 x 3 375 . e sin x cos x 377 . x sec 2 ( x )+2 x cos( x )+tan( x )− x 2 sin( x ) 379 . 1 4 ⎛ ⎝ ⎜ x +sin −1 ( x ) ⎞ ⎠ ⎟ 381 . cos x · (ln x +1)− x ln( x )sin x 383 . 4 x (ln4) 2 +2sin x +4 x cos x − x 2 sin x 385 . T = (2+ e ) x −2 387 . 1− x 2
389 . w ′(3) = − 2.9 π 6
. At 3 a.m. the tide is decreasing at a rate of 1.514 ft/hr.
391 . −7.5. The wind speed is decreasing at a rate of 7.5 mph/hr Chapter 4 Checkpoint 4.1 . 1 72 π cm/sec, or approximately 0.0044 cm/sec 4.2 . 500ft/sec 4.3 . 1 10 rad/sec
4.4 . −0.61 ft/sec 4.5 . L ( x ) =2+ 1 12 4.6 . L ( x ) =− x +
( x −8); 2.00833
π 2 4.7 . L ( x ) =1+4 x 4.8 . dy =2 xe x 2 dx 4.9 . dy =1.6, Δ y =1.64 4.10 . The volume measurement is accurate to within 21.6cm 3 . 4.11 . 7.6% 4.12 . x = − 2 3 , x =1 4.13 . The absolute maximum is 3 and it occurs at x =4. The absolute minimum is −1 and it occurs at x =2. 4.14 . c =2 4.15 . 5 2 2 sec
Made with FlippingBook - professional solution for displaying marketing and sales documents online