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The Graph of the Derivative f(t)f ^ { \prime } ( t )

Question 47

Multiple Choice

The graph of the derivative f(t) f ^ { \prime } ( t ) of f(t) f ( t ) is shown. Compute the total change of f(t) f ( t ) over the interval [2,5][ 2,5 ] .
 The graph of the derivative   f ^ { \prime } ( t )   of  f ( t )   is shown. Compute the total change of  f ( t )   over the interval  [ 2,5 ]  .       A)   f ( 5 )  - f ( 2 )  = 21  B)     f ( 5 )  - f ( 2 )  = 7.5  C)    f ( 5 )  - f ( 2 )  = 5.25  D)     f ( 5 )  - f ( 2 )  = 2.25  E)     f ( 5 )  - f ( 2 )  = 10.5


A) f(5) f(2) =21f ( 5 ) - f ( 2 ) = 21
B) f(5) f(2) =7.5f ( 5 ) - f ( 2 ) = 7.5
C) f(5) f(2) =5.25f ( 5 ) - f ( 2 ) = 5.25
D) f(5) f(2) =2.25f ( 5 ) - f ( 2 ) = 2.25
E) f(5) f(2) =10.5f ( 5 ) - f ( 2 ) = 10.5

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