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Algebra
Pregunta

16. Find \( a , b \) , and \( c \) for the functio...

16. Find \( a , b \) , and \( c \) for the function \( f ( x ) = a \sin ( b x + c ) \) such that the graph of \( f \) matches the figure. 17. Find the exact value of \( \cot ( \arcsin \frac { 3 } { 8 } ) \) . 18. Sketch the graph of the function \( f ( x ) = 2 \arcsin ( \frac { 1 } { 2 } x ) \) . 19. An airplane is \( 90 \) miles south and \( 110 \) miles east of an airport. What bearing should the pilot take to fly directly to the airport? 20. A ball on a spring starts at its lowest point of \( 6 \) inches below equilibrium, bounces to its maximum height of \( 6 \) inches above equilibrium, and returns to its lowest point in a total of \( 2 \) seconds. Write an equation for the simple harmonic motion of the ball. 

Answer

17.

\(\frac{\sqrt{55}}{3}\)

18. 

19.

Solución
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