Theoretical assignment Consider hyperbolic tangent function exp(x) – exp(-æ) exp(x)+ exp(-æ) tanh(x) = where a e [-2, 2]. Use 5 nodes to uniformly cut the interval [–2, 2] into 4 sub-intervals.

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.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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 Based on these 5 nodes, use linear spline function to approximate f(x) =
tanh(x), x ∈ [−2, 2] . The specific liner splines for each subintervals are required.

Theoretical assignment Consider hyperbolic tangent function
tanh(x) :
exp (z) — еxp(-»)
exp(x)+ exp(-x)
where x e (-2, 2]. Use 5 nodes to uniformly cut the interval [-2, 2] into 4
sub-intervals.
Transcribed Image Text:Theoretical assignment Consider hyperbolic tangent function tanh(x) : exp (z) — еxp(-») exp(x)+ exp(-x) where x e (-2, 2]. Use 5 nodes to uniformly cut the interval [-2, 2] into 4 sub-intervals.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,