(Solved): An object with weight \( W \) is dragged along a horizontal plane by a force acting along a rope at ...

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 \( t \) with the plane, then the magnitude of the force is \( F=\frac{\mu \omega}{\mu \operatorname{sis} t+\cos t} \), where \( \mu \) is a constant called the coefficient of friction. Let \( W=50 \mathrm{lb} \) and \( \mu=.6 . \mathrm{W} \) (a) Find the rate of change of F with respect to t.12 (b) When is this rate of change equal to zero? Round your answer to the nearest hundredth.il \[ F^{\prime}(t)= \] ( 1 point) Let \[ f(x)=\sqrt{\sin \left(e^{x^{3} \cos (x)}\right)} \] \[ f^{\prime}(x)= \] You have attempted this problem 0 times. You have 3 attempts remaining. Page generated at 10/26/2022 at 09:42pm EDT WeBWork @ 1996-2019| theme: math4 I ww_version: \( 2.15 \) I pg_version 2.151 The WeBWork P (1 point) if \[ f(x)=\cos \left(\sin \left(x^{6}\right)\right), \] then \( f^{\prime}(x)= \) You have attempted this problem 0 times. You have 3 attempts remaining. Page generaled at \( 10 / 26 / 2022 \) at \( 09.42 p \mathrm{pm} \) EDT