1 sin x 3. (a) Use a fourth degree Taylor polynomial to approximate S dx. X...

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1 sin x 3. (a) Use a fourth degree Taylor polynomial to approximate S dx. X V (b) Use a second degree Taylor polynomial to approximate cos r dr 4. A particle moving along a line is at position 3 meters after 2 seconds. The particle's velocity after t seconds is given by v(t) = +1. Use a third degree Taylor polynomial to estimate the particle's position after 4 seconds. 1 sin x 3. (a) Use a fourth degree Taylor polynomial to approximate S dx. X V (b) Use a second degree Taylor polynomial to approximate cos r dr 4. A particle moving along a line is at position 3 meters after 2 seconds. The particle's velocity after t seconds is given by v(t) = +1. Use a third degree Taylor polynomial to estimate the particle's position after 4 seconds.