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Find the Derivative of the Function at the Given Point \le

Question 27

Multiple Choice

Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.
-Suppose that the speed of a train approaching a station is given by v (t) =  Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t)  =   , for 0  \le  t  \le  8, where t is measured in seconds and v(t)  is measured in meters per second. Find   (5) . A)    (5)  = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B)    (5)  = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/   at t = 5 s. C)    (5)  = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/   at t = 5 s. D)    (5)  = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/   at t = 5 s. , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find  Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t)  =   , for 0  \le  t  \le  8, where t is measured in seconds and v(t)  is measured in meters per second. Find   (5) . A)    (5)  = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B)    (5)  = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/   at t = 5 s. C)    (5)  = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/   at t = 5 s. D)    (5)  = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/   at t = 5 s. (5) .


A)  Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t)  =   , for 0  \le  t  \le  8, where t is measured in seconds and v(t)  is measured in meters per second. Find   (5) . A)    (5)  = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B)    (5)  = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/   at t = 5 s. C)    (5)  = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/   at t = 5 s. D)    (5)  = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/   at t = 5 s. (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s.
B)  Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t)  =   , for 0  \le  t  \le  8, where t is measured in seconds and v(t)  is measured in meters per second. Find   (5) . A)    (5)  = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B)    (5)  = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/   at t = 5 s. C)    (5)  = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/   at t = 5 s. D)    (5)  = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/   at t = 5 s. (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/  Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t)  =   , for 0  \le  t  \le  8, where t is measured in seconds and v(t)  is measured in meters per second. Find   (5) . A)    (5)  = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B)    (5)  = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/   at t = 5 s. C)    (5)  = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/   at t = 5 s. D)    (5)  = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/   at t = 5 s. at t = 5 s.
C)  Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t)  =   , for 0  \le  t  \le  8, where t is measured in seconds and v(t)  is measured in meters per second. Find   (5) . A)    (5)  = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B)    (5)  = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/   at t = 5 s. C)    (5)  = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/   at t = 5 s. D)    (5)  = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/   at t = 5 s. (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/  Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t)  =   , for 0  \le  t  \le  8, where t is measured in seconds and v(t)  is measured in meters per second. Find   (5) . A)    (5)  = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B)    (5)  = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/   at t = 5 s. C)    (5)  = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/   at t = 5 s. D)    (5)  = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/   at t = 5 s. at t = 5 s.
D)  Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t)  =   , for 0  \le  t  \le  8, where t is measured in seconds and v(t)  is measured in meters per second. Find   (5) . A)    (5)  = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B)    (5)  = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/   at t = 5 s. C)    (5)  = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/   at t = 5 s. D)    (5)  = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/   at t = 5 s. (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/  Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t)  =   , for 0  \le  t  \le  8, where t is measured in seconds and v(t)  is measured in meters per second. Find   (5) . A)    (5)  = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B)    (5)  = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/   at t = 5 s. C)    (5)  = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/   at t = 5 s. D)    (5)  = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/   at t = 5 s. at t = 5 s.

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