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A particle moves along a straight line with equation of motion s f(t), where s is measured in meters and t in seconds. Find

A particle moves along a straight line with equation of motion \( s=f(t) \), where \( s \) is measured in meters and \( t \)
\( \begin{array}{rr} & f(t)=15+\frac{24}{t+1} \\ \text { velocity } & \frac{\pi}{t / 6} \\ \text { speed } & \end{array} \)
6. [0/1 Points \( ] \)Find \( f^{\prime}(a) \).\[\begin{array}{r}f(t)=\frac{4 t+20}{t+7} \\f^{\prime}(a)=\frac{8}{(t+7)^
The cost (in dollars) of producing \( x \) units of a certain commodity is \( C(x)=2,000+5 x+0.05 x^{2} \).(a) Find the aver

A particle moves along a straight line with equation of motion s f(t), where s is measured in meters and t in seconds. Find the velocity and speed (in m/s) when t = 4. f(t) = 90t - 7t velocity speed Need Help? Submit Answer Read X m/s m/s Watch A particle moves along a straight line with equation of motion s f(t), where s is measured in meters and t in seconds. Find the velocity and speed (in m/s) when t = 2. f(t) 16+ 24 t+1 velocity speed -8/3 Need Help? Read m/s x m/s 6. [0/1 Points] Find f'(a). f'(a) = f(t): DETAILS 7. [0/1 Points] f'(a) = 8 (t+7) Find f'(a). 4t + 20 t +7 Need Help? Read It X DETAILS f(x)=3-6x 3 (3-6x) Need Help? Read It X PREVIOUS ANSWERS Watch It Master It PREVIOUS ANSWERS Watch It The cost (in dollars) of producing x units of a certain commodity is C(x) = 2,000+ 5x + 0.05x (a) Find the average rate of change (in $ per unit) of C with respect to x when the production level is changed from x 100 to the given value. (Round your answers to the nearest cent.) (1)x=103 (1) 101 per unit Need Help? (0) Find the instantaneous rate of change (in $ per unit) of C with respect to x when x 100. (This is called the marginal cost. Its significance will be explained in a future chapter) $ per unit per unit Raad 1 wwich

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