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 +

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 18CM
icon
Related questions
Question
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
+
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 +
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Paths and Circuits
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage