Questions from General Calculus


Q: The table shows speedometer readings at 10-second intervals during a

The table shows speedometer readings at 10-second intervals during a 1-minute period for a car racing at the Daytona International Speedway in Florida. (a) Estimate the distance the race car traveled...

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Q: Oil leaked from a tank at a rate of r(t

Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed and values of the rate at two-hour time intervals are shown in the table. Find lower and upper estimates for...

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Q: When we estimate distances from velocity data, it is sometimes necessary

When we estimate distances from velocity data, it is sometimes necessary to use times t0, t1, t2, t3, . . . that are not equally spaced. We can still estimate distances using the time periods Î&...

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Q: Dinosaur fossils are too old to be reliably dated using carbon-

Dinosaur fossils are too old to be reliably dated using carbon-14. (See Exercise 11.) Suppose we had a 68-millionyear- old dinosaur fossil. What fraction of the living dinosaur’s 14C would be remainin...

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Q: The velocity graph of a braking car is shown. Use it

The velocity graph of a braking car is shown. Use it to estimate the distance traveled by the car while the brakes are applied.

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Q: The velocity graph of a car accelerating from rest to a speed

The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period.

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Q: Differentiate. y = sinθ  cosθ 

Differentiate. y = sinθ  cosθ 

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Q: A population of protozoa develops with a constant relative growth rate of

A population of protozoa develops with a constant relative growth rate of 0.7944 per member per day. On day zero the population consists of two members. Find the population size after six days.

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Q: A common inhabitant of human intestines is the bacterium Escherichia coli,

A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich, who identified it in 1885. A cell of this bacterium in a nutrient-brot...

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Q: Evaluate the upper and lower sums for f (x) =

Evaluate the upper and lower sums for f (x) = 2 + sin x, 0 ≤ x ≤ π, with n = 2, 4, and 8. Illustrate with diagrams like Figure 14. Figure 14:

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