2.5.95-LS A person x inches tall has a pulse rate of y beats per minute, as given approximately by -1/3 y 579x for 30 sxs75. What is the instantaneous rate of change of pulse rate for the following heights? (A) 38-inches (B) 70-inches What is the instantaneous rate of change of pulse rate for a 38 inch tall person? 4.5321 beats per minute per inch (Round to the nearest hundredth as needed.)

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A: The area of a square with side length x is, A(x)=x2 (in mm2)

Q: According to a particular model for predicting the height of preschool children, the rate of growth…

A: Given  Rt=25.907e-0.983t+5.12

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A: Use chain rule to find dm/dt.

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A:

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Q: The deck of a bridge is suspended 265 feet above a river. If a pebble falls off the side of the…

A: GivenHeight of suspension = 265 feety = 265-16t2 to find: average velocity when t=4 and ending with…

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Q: that its value V(t), in dollars, after t years, is given by V(t) = 2600e¬0.09t a) What did the drum…

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Q: If a rock is dropped from a height of 290 ft, its poistion t seconds after it is dropped until it…

A:

Q: The blood alcohol concentration, C, of an adult male after consumption of one alcoholic drink can be…

A: →Rate of change of function f(x) is given by df(x)dx→Average rate of change of f(x) in the interval…

Q: 5. The concentration of a drug in the bloodstream t hours after the injection is given by is the…

A: C(t)=4.35 e-tRate of change of concentration;dCdt=ddt(4.35 e-t)dCdt=-4.35 e-tRate of change after 1…

Q: The diameter of a circle is increasing at a constant rate of 0.7 meter per second. What is the rate…

A: Given:             Diameter is increasing at the rate of 0.7 m/sec.Circumeference =60π

Q: 35. To determine drug dosages, doctors estimate a person's body surface area (BSA) (in meters…

A: ..............(1)

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A: Values at the points are not perfect, so first look at the table and proceed.

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Q: The number of hits on a certain website (in thousands) is approximated by f(x) = 70 e 0.1769x where…

A: The number of hits on a certain website is f(x)=70 e0.1769 x, where x=0 corresponds to 2000.

Q: A rocket is propelled upwards and reaches a height of h(t)=4.9t in t seconds. a) How high does it…

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Q: The volume V, in liters, of air in the lungs during a one-second respiratory cycle is approximated…

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Q: The area of a circle increases at a rate of 5 cm2 /s. a. How fast is the radius changing when the…

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Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

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Q: An oil tanker breaks apart and starts leaking. As time goes on, the rate at which the oil is leaking…

A: Solution...

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Q: 17. Trepy Bros, has been doing business for a very long time. The board has assessed the gross…

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Q: The volume V, in liters, of air in the lungs during a three-second respiratory cycle is approximated…

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Q: 14. The number of gallons of water in a tank t min. utes after the tank has started to drain is Q(1)…

A: Derivative basically represents rate of change.

Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

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Q: The number N of E.Coli bacteria in the millions per mililiter after t minutes can be modeled by N…

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Q: 4 P = R What is the rate of change of power with respect to resistance? rate of change = Viohm?

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Q: The radius of a sphere is decreasing at a rate of 2 cm/sec. At the instant when the radius of the…

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Q: The rate of change of the concentration of a bacteria culture is given by R(t) =80/ln2 (2)t, where t…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.