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Unformatted text preview: the motion of the object. Example 3 (3.3) APPLICATIONS The object oscillates from the lowest point ( s = 4 cm) to the highest point ( s = 4 cm). The period of the oscillation is 2 π , the period of cos t . Example 3 APPLICATIONS The speed is  v  = 4sin t , which is greatest when sin t  = 1, that is, when cos t = 0. s So, the object moves fastest as it passes through its equilibrium position ( s = 0). s Its speed is 0 when sin t = 0, that is, at the high and low points. Example 3 APPLICATIONS The acceleration a = 4 cos t = 0 when s = 0. It has greatest magnitude at the high and low points. Example 3 APPLICATIONS Find the 27th derivative of cos x . Example 4 (3.3) DERIVS. OF TRIG. FUNCTIONS Find Use this equation: sin 7 lim 4 x x x → Example 5 (3.3) DERIVS. OF TRIG. FUNCTIONS sin lim 1 θ → = Calculate . lim cot x x x → Example 6 (3.3) DERIVS. OF TRIG. FUNCTIONS...
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This note was uploaded on 05/23/2011 for the course MAC 2311 taught by Professor Noohi during the Fall '08 term at FSU.
 Fall '08
 Noohi
 Calculus

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