Q2] Solve only Two a) Use the Chain rule to find the derivative of z= e*y with respect to t if x=t cost and y =t sin t. What is the derivative's value at t=n/2. aw aw ar ' as aw b) Use the Chain rule to find the derivatives and if; at w = = e*y/z ; x = r2 +t2 , y = s? - t2 , z = r2 + s? r? +t?, y = s2 - t2, z = r2 + s2 dy c) Determine dx for the function sin?x – 5 sin x cos y + tan y = 0
Q2] Solve only Two a) Use the Chain rule to find the derivative of z= e*y with respect to t if x=t cost and y =t sin t. What is the derivative's value at t=n/2. aw aw ar ' as aw b) Use the Chain rule to find the derivatives and if; at w = = e*y/z ; x = r2 +t2 , y = s? - t2 , z = r2 + s? r? +t?, y = s2 - t2, z = r2 + s2 dy c) Determine dx for the function sin?x – 5 sin x cos y + tan y = 0
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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![Q2] Solve only Two
a) Use the Chain rule to find the derivative of z= e*y with respect to t if
x=t cost and y =t sin t. What is the derivative's value at t=/2.
aw aw
aw
b) Use the Chain rule to find the derivatives
and
if;
ar ' as
at
w =
= exy/z ; x = r² +t², y = s² – t² , z = r² + s²
%3D
c) Determine
dy
for the function
dx
sin?x – 5 sin x cos y + tan y = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b40652f-e3e2-431f-aa2b-6b6cace1b71c%2F81c2380c-8cde-4fd4-aed7-cd5330cb784a%2Fd6ei3l8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q2] Solve only Two
a) Use the Chain rule to find the derivative of z= e*y with respect to t if
x=t cost and y =t sin t. What is the derivative's value at t=/2.
aw aw
aw
b) Use the Chain rule to find the derivatives
and
if;
ar ' as
at
w =
= exy/z ; x = r² +t², y = s² – t² , z = r² + s²
%3D
c) Determine
dy
for the function
dx
sin?x – 5 sin x cos y + tan y = 0
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