Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice). Patrick Jones
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608.
609.
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Understanding the Net Change Theorem
611–619 Use 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
612. If r(t) represents the rate at which oil leaks from a tanker in gallons per minute, what does
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
614. If v(t) is the velocity of a particle in meters per second, what does
615. If a(t) is the acceleration of a car in meters per second squared, what does
616. If P´(t) represents the rate of production of solar panels, where t is measured in weeks, what does
617. The current in a wire I(t) is defined as the derivative of the charge,
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
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
Finding the Displacement of a Particle Given the Velocity
620–624 A 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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Finding the Distance Traveled by a Particle Given the Velocity
625–629 A particle moves according to the given velocity function over the given interval. Find the total distance traveled by the particle. Remember: Velocity is the rate of change in position with respect to time.
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629.
Finding the Displacement of a Particle Given Acceleration
630–632 A particle moves according to the given acceleration function over the given interval. First, find the velocity function. Then find the displacement of the particle. Remember: Displacement is the change in position, velocity is the rate of change in position with respect to time, and acceleration is the rate of change in velocity with respect to time.
630.
631.
632.
Finding the Distance Traveled by a Particle Given Acceleration
633–635 A particle moves according to the given acceleration function over the given interval. Find the total distance traveled by the particle. Remember: Displacement is the change in position, velocity is the rate of change in position with respect to time, and acceleration is the rate of change in velocity with respect to time.
633.