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The Area Betw Een the Graph Of f(x)=exf(x)=e^{x} And The xx -Axis on an Interval

Question 157

Multiple Choice

The area betw een the graph of f(x) =exf(x) =e^{x} and the xx -axis on an interval [a,b][a, b] is equal to ebeae^{b}-e^{a} . Sketch the graph of f(x) =exf(x) =e^{x} , and shade the area between the graph and the xx -axis. Find the shaded area, rounded to the nearest hundredth.
- [2,1][-2,1]
 The area betw een the graph of  f(x) =e^{x}  and the  x -axis on an interval  [a, b]  is equal to  e^{b}-e^{a} . Sketch the graph of  f(x) =e^{x} , and shade the area between the graph and the  x -axis. Find the shaded area, rounded to the nearest hundredth. - [-2,1]    A)  6.25   B)  6.52   C)  2.58   D)  2.85


A) 6.25
 The area betw een the graph of  f(x) =e^{x}  and the  x -axis on an interval  [a, b]  is equal to  e^{b}-e^{a} . Sketch the graph of  f(x) =e^{x} , and shade the area between the graph and the  x -axis. Find the shaded area, rounded to the nearest hundredth. - [-2,1]    A)  6.25   B)  6.52   C)  2.58   D)  2.85
B) 6.52
 The area betw een the graph of  f(x) =e^{x}  and the  x -axis on an interval  [a, b]  is equal to  e^{b}-e^{a} . Sketch the graph of  f(x) =e^{x} , and shade the area between the graph and the  x -axis. Find the shaded area, rounded to the nearest hundredth. - [-2,1]    A)  6.25   B)  6.52   C)  2.58   D)  2.85
C) 2.58
 The area betw een the graph of  f(x) =e^{x}  and the  x -axis on an interval  [a, b]  is equal to  e^{b}-e^{a} . Sketch the graph of  f(x) =e^{x} , and shade the area between the graph and the  x -axis. Find the shaded area, rounded to the nearest hundredth. - [-2,1]    A)  6.25   B)  6.52   C)  2.58   D)  2.85
D) 2.85
 The area betw een the graph of  f(x) =e^{x}  and the  x -axis on an interval  [a, b]  is equal to  e^{b}-e^{a} . Sketch the graph of  f(x) =e^{x} , and shade the area between the graph and the  x -axis. Find the shaded area, rounded to the nearest hundredth. - [-2,1]    A)  6.25   B)  6.52   C)  2.58   D)  2.85

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