Consider the following. w = xy2 + x2z + yz?, x = t2, y = 5t, z = 5 (a) Find dw/dt using the appropriate Chain Rule. dw 120 + 75 12013 dt (b) Find dw/dt by converting w to a function of t before differentiating. dw dt 120f° + 75
Consider the following. w = xy2 + x2z + yz?, x = t2, y = 5t, z = 5 (a) Find dw/dt using the appropriate Chain Rule. dw 120 + 75 12013 dt (b) Find dw/dt by converting w to a function of t before differentiating. dw dt 120f° + 75
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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![Consider the following.
\[ w = xy^2 + x^2z + yz^2, \quad x = t^2, \quad y = 5t, \quad z = 5 \]
(a) Find \(\frac{dw}{dt}\) using the appropriate Chain Rule.
\[ \frac{dw}{dt} = 120t^3 + 75 \]
(Incorrect answer indicated by a red cross)
(b) Find \(\frac{dw}{dt}\) by converting \(w\) to a function of \(t\) before differentiating.
\[ \frac{dw}{dt} = 120t^3 + 75 \]
(Incorrect answer indicated by a red cross)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F124169c6-8d32-433b-ba67-139925e22b98%2F88ecdfab-9501-4d2a-a2d4-58a4995ff883%2Ffhz5yr_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following.
\[ w = xy^2 + x^2z + yz^2, \quad x = t^2, \quad y = 5t, \quad z = 5 \]
(a) Find \(\frac{dw}{dt}\) using the appropriate Chain Rule.
\[ \frac{dw}{dt} = 120t^3 + 75 \]
(Incorrect answer indicated by a red cross)
(b) Find \(\frac{dw}{dt}\) by converting \(w\) to a function of \(t\) before differentiating.
\[ \frac{dw}{dt} = 120t^3 + 75 \]
(Incorrect answer indicated by a red cross)
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