# Scalcet8 33029 θcos θ sin θ 2 cos θ θsin θ if h

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SCalcET8 3.3.029. \$\$ θcos ( θ )+ sin ( θ ) \$\$2 cos ( θ )− θsin ( θ ) If H ( θ ) = θ sin ( θ ), find H' ( θ ) and H'' ( θ ). H' ( θ ) = H'' ( θ ) =
6/5/2019 hw10S3.3 3/6 5. 7/7 points | Previous Answers SCalcET8 3.3.035.MI. A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion is where t is in seconds and x is in centimeters. (a) Find the velocity and acceleration at time t . (b) Find the position, velocity, and acceleration of the mass at time t = 5 x ( t ) = 4 cos ( t ), v ( t ) = \$\$−4 sin ( t ) a ( t ) = \$\$−4 cos ( t ) x 5 π 6 π / 6 . = \$\$−2√3 = \$\$−2 = \$\$2√3 In what direction is it moving at that time? Since < 0, the particle is moving to the left . v 5 π 6 a 5 π 6 v 5 π 6
6/5/2019 hw10S3.3 6. 4/5 points | Previous Answers SCalcET8 3.3.038. An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle θ with the plane, then the magnitude of the force is where μ is a constant called the coefficient of friction . (a) Find the rate of change of F with respect to( θ ). (b) When is this rate of change equal to 0?
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