dQ Use the Chain Rule to find where Q=√√3x² + 3y² + 4z², x= sint, y = cost, and z = cost. 7 dt ƏQ - 2 sin 2t əx √√3+4 3+ 4 cos ²t (Type an expression using x, y, and z as the variables.) dx dt (Type an expression using t as the variable.) ƏQ ду (Type an expression using x, y, and z as the variables.) dy = dt (Type an expression using t as the variable.) ƏQ dz (Type an expression using x, y, and z as the variables.) dz dt ||

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 24RE
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Question
dQ
Use the Chain Rule to find where Q=√√3x² + 3y² + 4z², x = sint, y = cost, and z = cost.
7
dt
ƏQ
- 2 sin 2t
əx
√√3+4
3+ 4
cos ²t
(Type an expression using x, y, and z as the variables.)
dx
dt
(Type an expression using t as the variable.)
ƏQ
ду
(Type an expression using x, y, and z as the variables.)
dy
=
dt
(Type an expression using t as the variable.)
ƏQ
dz
(Type an expression using x, y, and z as the variables.)
dz
dt
(Type an expression using t as the variable.)
Transcribed Image Text:dQ Use the Chain Rule to find where Q=√√3x² + 3y² + 4z², x = sint, y = cost, and z = cost. 7 dt ƏQ - 2 sin 2t əx √√3+4 3+ 4 cos ²t (Type an expression using x, y, and z as the variables.) dx dt (Type an expression using t as the variable.) ƏQ ду (Type an expression using x, y, and z as the variables.) dy = dt (Type an expression using t as the variable.) ƏQ dz (Type an expression using x, y, and z as the variables.) dz dt (Type an expression using t as the variable.)
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I can't tell which of these goes into the boxes

- 2 sin 2t
əx
3+4 cos²t
(Type an expression using x, y, and z as the variables.)
dx
dt
(Type an expression using t as the variable.)
ƏQ
4t cost( - sint)
dy
3x² + 3y² + 4z²
(Type an expression using x, y, and z as the variables.)
dy
3 sint cost
dt
3 sin²t+ 3 cos ²t+4 cos ²t
(Type an expression using t as the variable.)
ƏQ
3(cost)( - sint)
əz
3 sin ²t + 3 cos ²t+4 cos ²t
(Type an expression using x, y, and z as the variables.)
dz
4 cos t( - sint)
dt
3 sin²t+3 cos²t+4 cos ²t
(Type an expression using t as the variable.)
dQ
4 cost sint
dt
3+4 cos²t
(Type an expression using t as the variable.)
Transcribed Image Text:- 2 sin 2t əx 3+4 cos²t (Type an expression using x, y, and z as the variables.) dx dt (Type an expression using t as the variable.) ƏQ 4t cost( - sint) dy 3x² + 3y² + 4z² (Type an expression using x, y, and z as the variables.) dy 3 sint cost dt 3 sin²t+ 3 cos ²t+4 cos ²t (Type an expression using t as the variable.) ƏQ 3(cost)( - sint) əz 3 sin ²t + 3 cos ²t+4 cos ²t (Type an expression using x, y, and z as the variables.) dz 4 cos t( - sint) dt 3 sin²t+3 cos²t+4 cos ²t (Type an expression using t as the variable.) dQ 4 cost sint dt 3+4 cos²t (Type an expression using t as the variable.)
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage