Newton's Law of Cooling States That the Rate of Cooling $160 ^ { \circ } \mathrm { F }$

question 24

Multiple Choice

Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. Suppose that a roast turkey is taken from an oven when its temperature has reached $160 ^ { \circ } \mathrm { F }$ and is placed on a table in a room where the temperature is $60 ^ { \circ } \mathrm { F }$ . If $u ( t )$ is the temperature of the turkey after $t$ minutes, then Newton's Law of Cooling implies that
$$\frac { d u } { d t } = k ( u - 60 )$$
This could be solved as a separable differential equation. Another method is to make the change of variable $y = u - 60$ . If the temperature of the turkey is $150 ^ { \circ } \mathrm { F }$ after half an hour, what is the temperature after $35 \mathrm {~min}$ ?

• A) \(t = 143 ^ { \circ } \mathrm { F }\)
• B) \(t = 148 ^ { \circ } \mathrm { F }\)
• C) \(t = 298 ^ { \circ } \mathrm { F }\)
• D) none of these
• E) \(t = 95 ^ { \circ } \mathrm { F }\)

Understand the basic principles and applications of classical conditioning in behavior therapy.

Recognize and describe the principles of operant conditioning and its therapeutic applications.

Identify and explain various exposure therapies and their effectiveness in treating phobias and other anxiety disorders.

Distinguish between different conditioning techniques and their specific uses in therapy, such as systematic desensitization, aversive conditioning, and counterconditioning.

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Definitions:

Unconditional Positive Regard

A concept in humanistic psychology referring to accepting and supporting someone without judgment or conditions.

Therapist

A professional trained to treat individuals for emotional, mental, and psychological issues through various techniques and therapies.

Transference

A phenomenon in psychoanalysis where patients unconsciously redirect feelings for a significant person in their past to the therapist.

Psychoanalyst

A therapist who practices psychoanalysis, a method of psychotherapy originating from the theories of Sigmund Freud, focusing on unconscious processes.