Let f(x) = √ sin t dt. t This is called the sine integral and is denoted Si(z). (a) Replace sin(t) by your Taylor series from the previous problem (written as an expanded sum), and evaluate the integral term by term. (b) Use the first four nonzero terms of the series to approximate Si(1). Compare this to the value you get by using your calculator or Desmos to calculate Si(1) from the definition.
Let f(x) = √ sin t dt. t This is called the sine integral and is denoted Si(z). (a) Replace sin(t) by your Taylor series from the previous problem (written as an expanded sum), and evaluate the integral term by term. (b) Use the first four nonzero terms of the series to approximate Si(1). Compare this to the value you get by using your calculator or Desmos to calculate Si(1) from the definition.
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Transcribed Image Text:7. Let
f(x) =
√ s
sin t
dt.
This is called the sine integral and is denoted Si(z).
(a) Replace sin(t) by your Taylor series from the previous problem (written as an expanded sum), and
evaluate the integral term by term.
(b) Use the first four nonzero terms of the series to approximate Si(1). Compare this to the value you
get by using your calculator or Desmos to calculate Si(1) from the definition.
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