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Total change multiple choice questions. I dont understand them at all. can someone please help? Which of the following is true? 0 The definite integral

Total change multiple choice questions. I dont understand them at all. can someone please help?

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Which of the following is true? 0 The definite integral does not have any physical meaning. 0 The definite integral describes the instantaneous change in the function's value. 0 The definite integral describes total change of a function's value. 0 The definite integral describes the average change in the function's value. df What is the total change of f (@), where = 4x, between x = 2 and x = 5? O 41 O 42 O 43 O 44Sue deposits $100 into a bank account with an annual interest rate of 1.5%. The interest is compounded continuously and the total amount of money in her account is described by f(t) = $100e 1 015t, where t is time in years. Which of the following describes the total amount of money earned in interest in the first 5 years? O Total interest is f(5) - f(0). O Total interest is the indefinite integral J el.015td t O Total interest is the difference between the derivative of f(t); f '(4) - f'(0). O Total interest is the definite integral S 100el.015td tDavid drills a hole in the bottom of a can so that it drips water out at a rate of 5 cm /sec. The can is 15 cm tall with a radius of 5 cm. If the can starts out full, how much water is in it after 2 min? V = 1 72 h, where r is the radius and h is the height of the can. O none O 365 cm3 O 450 cm3 O 578.097 cmdf - 3x2 + 2x? What is the total change of f (@ ) between x = 0 and x = 3, when O 35 O 36 O 37 O 38\fThe sides of a cube are shrinking at the rate % : 3\\/f cmi'min. If at 1 minute the cube has sides 25 cm long, what is the volume of the cube at 3 minutes? 0 275.826 cm3 0 5000 cm3 0 16.608 cm3 0 4530.913 cm3

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