Patrick Jones - Calculus - 1001 Practice Problems For Dummies (+ Free Online Practice)

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611–619Use the net change theorem to interpret the given definite integral.

611. If w ´( t ) is the rate of a baby’s growth in pounds per week, what does represent?

612. If r ( t ) represents the rate at which oil leaks from a tanker in gallons per minute, what does represent?

613. A new bird population that is introduced into a refuge starts with 100 birds and increases at a rate of p ´( t ) birds per month. What does represent?

614. If v ( t ) is the velocity of a particle in meters per second, what does represent?

615. If a ( t ) is the acceleration of a car in meters per second squared, what does represent?

616. If P ´( t ) represents the rate of production of solar panels, where t is measured in weeks, what does represent?

617. The current in a wire I ( t ) is defined as the derivative of the charge, . What does represent if t is measured in hours?

618. I ´( t ) represents the rate of change in your income in dollars from a new job, where t is measured in years. What does represent?

619. Water is flowing into a pool at a rate of w ´( t ), where t is measured in minutes and w ´( t ) is measured in gallons per minute. What does represent?

620–624A particle moves according to the given velocity function over the given interval. Find the displacement of the particle. Remember:Displacement is the change in position, and velocity is the rate of change in position with respect to time.

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