Consider f(t) = (cos t, sin t, t?) and g(x, y, z) = (x² + y² + z², 3x + 4y – 12z) and h = g(f(t)) = (h1, h2). The purpose of this problem is not to find the derivative of h. The purpose of this problem is not to find the first row of such derivative matrix either. The purpose of this problem is to find only the first entry of the first row of that derivative matrix. Which equation reflects that entry? dg de dg dy dy dt dg dz dz dt dh1 where a = cos t, y = sint and z = t2 dt dx dt ag dz dx dt dh, where x = cost dt dh1 dg dæ where x = cost dt dx dt dg dæ dg dy dy dt dg dy dg dz az dt dh2 where z = cos t, y = sin t and z = = t² dt dx dt dg dz dz dt dh1 dg dæ where x = cost, y = sin t and z = = t² dt da dt dy dt +
Consider f(t) = (cos t, sin t, t?) and g(x, y, z) = (x² + y² + z², 3x + 4y – 12z) and h = g(f(t)) = (h1, h2). The purpose of this problem is not to find the derivative of h. The purpose of this problem is not to find the first row of such derivative matrix either. The purpose of this problem is to find only the first entry of the first row of that derivative matrix. Which equation reflects that entry? dg de dg dy dy dt dg dz dz dt dh1 where a = cos t, y = sint and z = t2 dt dx dt ag dz dx dt dh, where x = cost dt dh1 dg dæ where x = cost dt dx dt dg dæ dg dy dy dt dg dy dg dz az dt dh2 where z = cos t, y = sin t and z = = t² dt dx dt dg dz dz dt dh1 dg dæ where x = cost, y = sin t and z = = t² dt da dt dy dt +
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider f(t) = (cos t, sin t, t?) and g(x, y, z) = (x² + y² + z², 3x + 4y – 12z) and h = g(f(t)) = (h1, h2).
The purpose of this problem is not to find the derivative of h .
The purpose of this problem is not to find the first row of such derivative matrix either.
The purpose of this problem is to find only the first entry of the first row of that derivative matrix.
Which equation reflects that entry?
dg de
dg dy
dy dt
dg dz
az dt
dh
where a = cos t, y = sint and z = t2
dt
dx dt
O dh2
dg dz
dx dt
where x = cost
dt
dh1
dg dæ
where x = cost
dt
dx dt
dg dæ
dg dy
dy dt
dg dy
dg dz
az dt
dh2
where x = cos t, y = sint and z =
= t2
dt
dx dt
dh1
dg dæ
dg dz
dz dt
where x = cos t, y = sint and z =
= t2
dt
dæ dt
dy dt
+
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