Sine-integral function The integral Si (x) "sin t dt, called the sine-integral function, has important applications in optics. a. Plot the integrand (sin t)/t for t > 0. Is the sine-integral function everywhere increasing or decreasing? Do you think Si (x) = 0 for x 2 0? Check your answers by graphing the function Si (x) for 0 sxs 25. b. Explore the convergence of sin t dt. If it converges, what is its value?
Sine-integral function The integral Si (x) "sin t dt, called the sine-integral function, has important applications in optics. a. Plot the integrand (sin t)/t for t > 0. Is the sine-integral function everywhere increasing or decreasing? Do you think Si (x) = 0 for x 2 0? Check your answers by graphing the function Si (x) for 0 sxs 25. b. Explore the convergence of sin t dt. If it converges, what is its value?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.5: Differentials: Linear Approximation
Problem 11E
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