Let X(t) = f(t, W (t)). Give an integral expression for X(t) – X(0) in the following cases: a) f(t,x) = 23 b) f(t, x) = tr³ c) f(t, x) = 1/2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 30EQ
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Let X(t) = f(t, W (t)). Give an integral expression for X(t) – X(0) in the
following cases:
a) f(t, x) = 23
b) f(t, x) = ta3
c) f(t, a) = 1/a
Note: "forget" the case V(s) = 0 in nart e
Transcribed Image Text:Let X(t) = f(t, W (t)). Give an integral expression for X(t) – X(0) in the following cases: a) f(t, x) = 23 b) f(t, x) = ta3 c) f(t, a) = 1/a Note: "forget" the case V(s) = 0 in nart e
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