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MC 2025 In-course Diagnostics for Undergraduate Mathematics MATH140 WP

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The amount of a drug in a patient's bloodstream hours after intravenous administration is   milligrams (mg).  The average amount of the drug in the bloodstream during the first four hours is:
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A car travels with velocity that varies continuously over the interval .  The position of the car at time is given by .  Which of the following represent(s) the average velocity of the car for ?

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(II):

(III): for at least one between and  

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The population of a herd of impala is increasing at a rate of animals per year. How many impala babies are born between the fourth and the tenth years?
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The daily expenditure rate for a construction company on a particular project is given by in hundreds of rands/day.  What will the cost to the company be if the project takes 3 days?
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A particle moves along a line with acceleration function .  Initially, the velocity is and the position is .  What is the position of the particle when ?
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A ball is rolled along the ground in a straight line with velocity function . The distance travelled by the ball during the time interval is:
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If represents a child's rate of growth in kilograms per year, which of the following expressions represents the increase in the child's weight in kilograms between the years 2 and 10?
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A sprinter practises by running various distances back and forth along a straight line in the gym.  Her velocity is given by the function at time seconds.  What does represent?
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Water is leaking out of a water tank at a rate given by .  The definite integral represents:
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A ball is rolled along the ground in a straight line with velocity function . The displacement of the ball during the time interval is:
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