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Write the Word or Phrase That Best Completes Each Statement $f ( x ) = \frac { 4 } { \pi } \left[ \sin ( \pi x ) + \frac { 1 } { 3 } \right.$

Question 89

Essay

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-A square wave is built up from sinusoidal curves of varying periods and amplitudes.
Graph the following function, which can be used to approximate the square wave. $f ( x ) = \frac { 4 } { \pi } \left[ \sin ( \pi x ) + \frac { 1 } { 3 } \right.$
$0 \leq x \leq 4$

$Write the word or phrase that best completes each statement or answers the question. Solve the problem. -A square wave is built up from sinusoidal curves of varying periods and amplitudes. Graph the following function, which can be used to approximate the square wave. f ( x ) = \frac { 4 } { \pi } \left[ \sin ( \pi x ) + \frac { 1 } { 3 } \right. 0 \leq x \leq 4 A better approximation to the square wave is given by f ( x ) = \frac { 4 } { \pi } \left[ \sin ( \pi x ) + \frac { 1 } { 3 } \sin ( 3 \pi x ) + \frac { 1 } { 5 } \sin ( 5 \pi x ) \right] 0 \leq x \leq 4 Graph this function and compare the result to the previous graph. Adding another term will improve the approximation even more. Write this new function with four terms.$
A better approximation to the square wave is given by $f ( x ) = \frac { 4 } { \pi } \left[ \sin ( \pi x ) + \frac { 1 } { 3 } \sin ( 3 \pi x ) + \frac { 1 } { 5 } \sin ( 5 \pi x ) \right] 0 \leq x \leq 4$

$Write the word or phrase that best completes each statement or answers the question. Solve the problem. -A square wave is built up from sinusoidal curves of varying periods and amplitudes. Graph the following function, which can be used to approximate the square wave. f ( x ) = \frac { 4 } { \pi } \left[ \sin ( \pi x ) + \frac { 1 } { 3 } \right. 0 \leq x \leq 4 A better approximation to the square wave is given by f ( x ) = \frac { 4 } { \pi } \left[ \sin ( \pi x ) + \frac { 1 } { 3 } \sin ( 3 \pi x ) + \frac { 1 } { 5 } \sin ( 5 \pi x ) \right] 0 \leq x \leq 4 Graph this function and compare the result to the previous graph. Adding another term will improve the approximation even more. Write this new function with four terms.$
Graph this function and compare the result to the previous graph. Adding another term will improve the approximation
even more. Write this new function with four terms.

Write the Word or Phrase That Best Completes Each Statement f(x)=4π[sin⁡(πx)+13f ( x ) = \frac { 4 } { \pi } \left[ \sin ( \pi x ) + \frac { 1 } { 3 } \right.f(x)=π4​[sin(πx)+31​

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Write the Word or Phrase That Best Completes Each Statement $f ( x ) = \frac { 4 } { \pi } \left[ \sin ( \pi x ) + \frac { 1 } { 3 } \right.$

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