MATHEMATICS
Name:
2021 Spring MATH 140 Practice Exam 2 Version A
Enter the appropriate value to answer the question or solve the problem.
1. If a tank holds 5000 gallons of water, and that water can drain from the tank in 40 minutes, then Torricelli's Law
gives the volume V of water remaining in the tank after t minutes as
.
Determine the rate at which water is draining from the tank after 8 minutes.
2. The sides of a square baseball diamond are 90 ft long. When a player who is between the second and third base is
60 ft from second base and heading toward third base at a speed of 25 ft/sec, how fast is the distance between the
player and home plate changing? Round to two decimal places.
Enter the appropriate value to answer the question or solve the problem.
3. The circumference of a sphere was measured to be 87 cm with a possible error of 0.9 cm. Use differentials to
estimate the maximum error in the calculated volume.
4. Determine the differential of the function.
5. Use the linear approximation of the function at a = 0 to approximate the number correct to
six decimal places.
This study source was downloaded by 100000839306532 from CourseHero.com on 06-24-2022 17:58:02 GMT -05:00
https://www.coursehero.com/file/85208508/2021-Spring-MATH-140-Practice-Exam-2-Version-A-1pdf/
Name:
2021 Spring MATH 140 Practice Exam 2 Version A
Enter the appropriate value to answer the question or solve the problem.
1. If a tank holds 5000 gallons of water, and that water can drain from the tank in 40 minutes, then Torricelli's Law
gives the volume V of water remaining in the tank after t minutes as
.
Determine the rate at which water is draining from the tank after 8 minutes.
2. The sides of a square baseball diamond are 90 ft long. When a player who is between the second and third base is
60 ft from second base and heading toward third base at a speed of 25 ft/sec, how fast is the distance between the
player and home plate changing? Round to two decimal places.
Enter the appropriate value to answer the question or solve the problem.
3. The circumference of a sphere was measured to be 87 cm with a possible error of 0.9 cm. Use differentials to
estimate the maximum error in the calculated volume.
4. Determine the differential of the function.
5. Use the linear approximation of the function at a = 0 to approximate the number correct to
six decimal places.
This study source was downloaded by 100000839306532 from CourseHero.com on 06-24-2022 17:58:02 GMT -05:00
https://www.coursehero.com/file/85208508/2021-Spring-MATH-140-Practice-Exam-2-Version-A-1pdf/
