# Differentiate f x 3 x sin x f x 32 x 12 sin x 3 x 12

• Homework Help
• 13
• 77% (13) 10 out of 13 people found this document helpful

This preview shows page 3 - 8 out of 13 pages.

Differentiate. f ( x ) = 3 x sin x f ' ( x ) = \$\$32· x −(12)· sin ( x )+3· x (12)· cos ( x ) 0 Viewing Saved Work Revert to Last Response 3. 3/3 points | Previous Answers SCalcET7 3.3.022. My Notes Question Part Points Submissions Used 1 3/3 2/5 Total 3/3 Find an equation of the tangent line to the curve at the given point. y = 9 e x cos x , (0, y = 9 ) Practice Another Version
\$\$9· x +9 0 Viewing Saved Work Revert to Last Response 4. 6/6 points | Previous Answers SCalcET7 3.3.029. My Notes Question Part Points Submissions Used 1 2 3/3 3/3 2/5 1/5 If H ( θ ) = θ cos θ , find H' ( θ ) and H'' ( θ ). H' ( θ ) = \$\$ cos ( θ )− θ · sin ( θ ) H'' ( θ ) = \$\$−2 sin ( θ )− θcos ( θ ) 0 Viewing Saved Work Revert to Last Response 5. 7/7 points | Previous Answers SCalcET7 3.3.035.MI. My Notes Question Part Points Practice Another Version Practice Another Version
Submissions Used 1 2 3 4 5 6 7 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/5 1/5 1/5 1/5 1/5 1/1 1/1 Total 7/7 A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion is x ( t ) = 8 sin t 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 = 2 π / 3 .
v 2 π 3 = \$\$−4 a 2 π 3 = \$\$−6.928 In what direction is it moving at that time? Since v 2 π 3 < 0, the particle is moving to the left .
0 Viewing Saved Work Revert to Last Response 6. 4/5 points | Previous Answers SCalcET7 3.3.038. My Notes Question Part Points Submissions Used 1 2 3 4 5 1/1 1/1 0/1 1/1 1/1 1/5 1/5 1/1 1/5 1/1 Total 4/5 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 F = µ W μ sin θ + cos where μ is a constant called the coefficient of friction (a) Find the rate of change of F with respect to θ θ . .
• • • 