Solve the Problem $P _ { 1 } = 15 \sin ( 480 \pi t )$

question 431

Multiple Choice

Solve the problem.
-Two sound waves, producing the pressures $P _ { 1 } = 15 \sin ( 480 \pi t )$ and $P _ { 2 } = 8 \cos ( 480 \pi t )$ , combine on a person's ear drum to produce the pressure $P = P _ { 1 } + P _ { 2 }$ . Graph $P$ in $[ - 0.01,0.01,0.001 ]$ by $[ - 20,20,2 ]$ and use the graph to estimate values for $a$ and $k$ so that $P = a \sin ( 480 \pi t + k )$ . Round $k$ to the nearest ten-thousandth, if necessary.

• A) \(\mathrm { a } = 17 ; \mathrm { k } = 738.8376\)
• B) \(\mathrm { a } = 4.1 ; \mathrm { k } = 1.0808\)
• C) \(\mathrm { a } = 17 ; \mathrm { k } = 0.49\)
• D) \(\mathrm { a } = 4.1 ; \mathrm { k } = 738.8376\)

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Definitions:

Simple Reflexes

Basic, involuntary motor responses to specific stimuli, evident in human behavior from an early age.

Secondary Circular Reactions

A developmental stage in infants, usually between 4 to 8 months, characterized by the repetition of actions that produce an effect on the environment, signaling the beginning of intentional behavior.

Symbolic Functioning

A cognitive development process where individuals learn to use symbols, such as language or pictures, to represent objects, actions, or ideas.

Reflex

An automatic and involuntary response to a stimulus, which is a basic mechanism of the nervous system.