Suppose z = a? sin y, x = -s? – 5t², y = 8st. az and A. Use the chain rule to find as functions of x, y, s and t. az as az at az and as az B. Find the numerical values of at when (s, t) = (3, -5). a (3, -5) = dz at (3, -5) =

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Chapter6: Linear Transformations
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Problem 39CR: For T:R5R3 and nullity(T)=2, find rank(T).
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Suppose z = x? sin y, a = -s? – 5t2, y = 8st.
az
and
at
az
A. Use the chain rule to find
as functions of x, y, s and t.
as
az
as
az
at
az
B. Find the numerical values of
as
az
and when (s, t)
= (3, –5).
at
az
(3, –5) =
as
az
(3, –5) =
at
||
Transcribed Image Text:Suppose z = x? sin y, a = -s? – 5t2, y = 8st. az and at az A. Use the chain rule to find as functions of x, y, s and t. as az as az at az B. Find the numerical values of as az and when (s, t) = (3, –5). at az (3, –5) = as az (3, –5) = at ||
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