HW_5_3_mod

HW_5_3_mod - 5) Evaluate the integral. 6) Evaluate the...

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Student Name: Sections 5.3 (Due: Monday, 11/19) Description : This homework will help you understand precise interpretations of both parts of the Fundamental Theorem of Calculus (FTC1 and FTC2). You also need to know when FTC2 can be used. Show all work to get full credit. 1) The graph of a function f is given. m = 4 Consider the function below when answering the following questions. (a) Evaluate g (0), g ( 4 ), g ( 8 ), g ( 12 ) and g ( 24 ). g (0)= g ( 4 )= g ( 8 )= g ( 12 )= g ( 24 )= (b) On what interval is g increasing? (c) Where does g have a maximum value? x = 2) Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 3) Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 4) Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.
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Unformatted text preview: 5) Evaluate the integral. 6) Evaluate the integral. Student Name: 7) Evaluate the integral. 8) Find the area of the region that lies beneath the given curve. 9) Use the integral below to find the value of f ( 7 ). Assume f ( 1 )= 11 and f ' is continuous. f ( 7 ) = 10) The graph of a function f is given. s = 8 Consider the function below when answering the following questions. (a) At what values of x do the local maximum and minimum values of g occur? (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.) x 1min = x 2min = x 1max = x 2max = (b) Where does g attain its absolute maximum value? x = (c) On what intervals is g concave downward?...
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HW_5_3_mod - 5) Evaluate the integral. 6) Evaluate the...

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