d²y and simplify whenever possible. dy I. Find and dx dx2 1. x = Vu + 2 , y = u² – 3 - 2. x = cos0 + Osin0 ,y = sin0 – Ocos0 |

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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Answer for this given

dy
d²y
I. Find
and
and simplify whenever possible.
dx
dx2
1. х%3D Vu + 2, у%3D и? — 3
2. х — cos6 + Osin@ ,y — sin@ — Өсos0
a2z
аnd
a2z
II. Find
дх2 дудх
1. z = x² sin y + y cos x
III: Evaluate the limit by using L’Hospital's Rule.
х-Arctanх
1. lim
x2 tan x
Transcribed Image Text:dy d²y I. Find and and simplify whenever possible. dx dx2 1. х%3D Vu + 2, у%3D и? — 3 2. х — cos6 + Osin@ ,y — sin@ — Өсos0 a2z аnd a2z II. Find дх2 дудх 1. z = x² sin y + y cos x III: Evaluate the limit by using L’Hospital's Rule. х-Arctanх 1. lim x2 tan x
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