One Hour After X Milligrams of a Particular Drug Are

question 260

Essay

One hour after x milligrams of a particular drug are given to a person,the change in body temperature T(x),in the degrees Fahrenheit,is given approximately by T(x)=

.The rate at which T changes with respect to size of dosage x,T'(x),is called the sensitivity of the body to the dosage.Use the product rule to find the slope of T(x)when the dosage is 4 milligrams.

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Definitions:

Beta Particle

A high-energy, high-speed electron or positron emitted by the radioactive decay of an atomic nucleus.

Gamma Radiation

Gamma radiation consists of high-energy photons emitted by radioactive atoms, characterized as electromagnetic radiation of the highest frequency and energy.

Atomic Nucleus

The dense central core of an atom, containing protons and neutrons, and responsible for the majority of an atom's mass.

Alpha Particle

An alpha particle is a type of ionizing radiation consisting of two protons and two neutrons, emitted from the nucleus of an atom during radioactive decay.