Questions from General Calculus


Q: A roast turkey is taken from an oven when its temperature has

A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 75°F. (a) If the temperature of the turkey is 1508F after half a...

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Q: (a) Find the Riemann sum for f (x)

(a) Find the Riemann sum for f (x) = 1/x, 1 ≤ x ≤ 2, with four terms, taking the sample points to be right endpoints. (Give your answer correct to six decimal places.) Explain what the Riemann sum rep...

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Q: In a murder investigation, the temperature of the corpse was 32

In a murder investigation, the temperature of the corpse was 32.5°C at 1:30 pm and 30.3°C an hour later. Normal body temperature is 37.0°C and the temperature of the surroundings was 20.0°C. When did...

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Q: When a cold drink is taken from a refrigerator, its temperature

When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C room its temperature has increased to 10°C. (a) What is the temperature of the drink after 50 minutes...

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Q: A freshly brewed cup of coffee has temperature 958C in a 20

A freshly brewed cup of coffee has temperature 958C in a 20°C room. When its temperature is 70°C, it is cooling at a rate of 1°C per minute. When does this occur?

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Q: The rate of change of atmospheric pressure P with respect to altitude

The rate of change of atmospheric pressure P with respect to altitude h is proportional to P, provided that the temperature is constant. At 15°C the pressure is 101.3 kPa at sea level and 87.14 kPa at...

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Q: Prove Property 3 of integrals. Property 3 of integrals

Prove Property 3 of integrals. Property 3 of integrals:

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Q: (a) If $1000 is borrowed at 8% interest

(a) If $1000 is borrowed at 8% interest, find the amounts due at the end of 3 years if the interest is compounded (i) annually, (ii) quarterly, (iii) monthly, (iv) weekly, (v) daily, (vi) hourly, and...

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Q: Let f (x) = 0 if x is any rational

Let f (x) = 0 if x is any rational number and f (x) = 1 if x is any irrational number. Show that f is not integrable on [0, 1].

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Q: Let f (s) = 0 and f (x)

Let f (s) = 0 and f (x) = 1/x if 0 < x ≤ 1. Show that f is not integrable on [0, 1].

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