Q2: find dw/dt at given value point for the following function 1 1) w = x² + y², x = cos(t), y = sin(t), at t = π 2) w==+,x=cos² (t), y = sin² (t), z = -, at t = 3 Z 3) w = 2 ye* -In(z), x = ln(t² + 1), y = tan¯¹'(t), z = e¹, at t = 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q2: find dw/dt at given value point for the following
function
1
1)
w = x² + y², x = cos(t), y = sin(t), at t = π
y
1
2)
W = =+=,x=
= cos² (t), y = sin²(t), z = =, at t = 3
3)
w = 2 ye* - ln(2), x = ln(t² + 1), y = tan¯¹(t), z = e¹,
at t = 1
Transcribed Image Text:Q2: find dw/dt at given value point for the following function 1 1) w = x² + y², x = cos(t), y = sin(t), at t = π y 1 2) W = =+=,x= = cos² (t), y = sin²(t), z = =, at t = 3 3) w = 2 ye* - ln(2), x = ln(t² + 1), y = tan¯¹(t), z = e¹, at t = 1
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