Solve the Equation for Solutions Over the Interval [0 $[ 0,2 \pi )$

question 281

Multiple Choice

Solve the equation for solutions over the interval [0, $[ 0,2 \pi )$ ) . Write solutions as exact values or to four decimal places, as
appropriate.
-A generator produces an alternating current according to the equation $\mathrm { I } = 40 \sin 8 \pi \mathrm { t }$ , where $\mathrm { t }$ is time in seconds and $\mathrm { I }$ is the current in amperes. What is the smallest time $t$ such that $\mathrm { I } = 20$ ?

• A) \(\frac { 1 } { 16 } \mathrm { sec }\)
• B) \(\frac { 1 } { 32 } \mathrm { sec }\)
• C) \(\frac { 1 } { 48 } \mathrm { sec }\)
• D) \(\frac { 1 } { 24 } \mathrm { sec }\)

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Definitions:

Artemisia Gentileschi

An Italian Baroque painter known for her powerful depictions of biblical and mythological female figures, and for being one of the first recognized female artists.

Self-Portrait

An artistic representation of the artist by themselves, often a painting, drawing, photograph, or other forms of media.

Borromini

Francesco Borromini was an influential Italian architect in the Baroque period, known for his innovative and curved architectural designs, such as San Carlo alle Quattro Fontane.

Dome

An architectural element characterized by a hollow upper half of a sphere, commonly used in religious and public buildings to symbolize the heavens or provide a grandiose interior space.