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Use Identities to Find the Exact Value 5π\frac { 5 } { \pi }

question 83

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Use Identities to find the exact value.
-A weight attached to a spring is pulled down 4 inches below the equilibrium position. Assuming that the frequency of the system is 5π\frac { 5 } { \pi } cycles per second, determine a trigonometric model that gives the position of the weight at time tt seconds.


Definitions:

Membranous Urethra

The portion of the urethra that passes through the urogenital diaphragm, extending from the prostatic urethra to the spongy urethra.

Pelvic Cavity

A body cavity that is bounded by the bones of the pelvis and contains reproductive organs, the urinary bladder, and the rectum.

Corpora Cavernosa

Paired erectile tissues in the penis or clitoris that fill with blood during sexual arousal, leading to erection.

Scrotum

The pouch of skin containing the testicles in male mammals.

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