HW_3_3_mod

HW_3_3_mod - Student Name: Sections 3.3 (Due: Thursday,...

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Student Name: Sections 3.3 (Due: Thursday, 09/27) Description : This homework will help you understand the formulas for the derivatives of the standard trigonometric functions. Show all work to get full credit. 1) Differentiate the following functions. f ( x ) = 3 x 3 - 6 cos x 2) Find an equation of the tangent line to the curve y = 2 e x cos x at the given point P = (0, 2 ). 3) Find an equation of the tangent line to the curve at the given point P = (0, 2 ). 4) Use the equations and relations given below to answer the following questions. g ( x ) = f ( x ) sin ( x ) = = 5) Find the points on the curve below at which the tangent is horizontal. Use n as an arbitrary integer. (Select all that apply.) 6) A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion, x ( t ) where t is in seconds and x in centimeters, is given below. x ( t ) = 10 sin ( t ) (a) Find the velocity, v , and acceleration, a , at time t .
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Student Name: v ( t ) = a ( t
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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.

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HW_3_3_mod - Student Name: Sections 3.3 (Due: Thursday,...

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