newton's law of cooling

Q: A body cools at the rate of 0.5°C per second when it is 500°C above the surroundings. What is the…

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Q: A cup of hot coffee initially at 100°C cools to 40°C in half an hour while sitting in a room of…

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Q: A hot-air balloon rises straight up at a constant speed of 20 feet/sec. An observer stands 200 feet…

A: The speed of the balloon is dydt=20 ft/s2=VyThe distance between observer and launchingpoint, x=200…

Q: When food stuff is removed form an oven, its temperature is measured as 280 F, 5 Minutes later the…

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Q: Suppose that a shallow earthquake occurs in which the P waves travel 8 km/sec and the S waves travel…

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Q: A culture of bacteria is known to grow at a rate proportional to the present amount. After one hour…

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Q: a city grows at a rate directly proportional to its population. The initial pop. is 30 and it…

A: The rate of change of the variable (Population here) is proportion to the variable itself. Hence,…

Q: The altitude of a triangle is increasing at a rate of 3 cm/min while the area of the triangle is…

A: Given that  The altitude of a triangle is increasing at a rate of 3 cm/min The area of the triangle…

Q: A bacteria decreases at a rate of 15% continuously when exposed to ultraviolent light. If a culture…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.