= 1. Use a local linear approximation of the function f(x) = ln(x + sinh(x) + cosh(x)) at some point o to approximate ln(0.001+ sinh(0.001) + cosh(0.001)).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Use a local linear approximation of the function f(x) = ln(x + sinh(x) + cosh(x)) at some
point o to approximate In (0.001+ sinh(0.001) + cosh(0.001)).
2. Remy, a rat, is walking along a straight pipe. His directed distance (in inches) relative to
the starting point at time t is given by
R(t) = 2t³ — 15t² + 36t – 8.
(a) At any time t, find his rate of acceleration.
(b) Find the time to if to is the first instance that he changed direction.
(c) At t = 1, determine if Remy is speeding up or slowing down.
Transcribed Image Text:1. Use a local linear approximation of the function f(x) = ln(x + sinh(x) + cosh(x)) at some point o to approximate In (0.001+ sinh(0.001) + cosh(0.001)). 2. Remy, a rat, is walking along a straight pipe. His directed distance (in inches) relative to the starting point at time t is given by R(t) = 2t³ — 15t² + 36t – 8. (a) At any time t, find his rate of acceleration. (b) Find the time to if to is the first instance that he changed direction. (c) At t = 1, determine if Remy is speeding up or slowing down.
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