Q1/(A): At what points is the function f(x) continuous ? x<0 1 √1-x² x-1 -{ f(x)= 0 ≤x≤1. x>1 (B): Find the following [Choose Five only]. -'s dy (1) Find if y = t³ and t= x² +2. dx (3) lim-0 (6) lim--- x²+100-10 x² ²-4x+8 (4) lim-0 (7) lim,+0 (2) Find if xy dy dx tant sec2t 3t (2+x)³-8 (5) li
Q1/(A): At what points is the function f(x) continuous ? x<0 1 √1-x² x-1 -{ f(x)= 0 ≤x≤1. x>1 (B): Find the following [Choose Five only]. -'s dy (1) Find if y = t³ and t= x² +2. dx (3) lim-0 (6) lim--- x²+100-10 x² ²-4x+8 (4) lim-0 (7) lim,+0 (2) Find if xy dy dx tant sec2t 3t (2+x)³-8 (5) li
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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![Q1/(A): At what points is the function f(x) continuous ?
1
x<0
f(x)=√1-x²
x-1
-{
(B): Find the following [Choose Five only].
(1) Find dy if y = t³ and t = x² +2.
dx
(3) lim-0
(6) lim--00
²+100-10
x²
0 ≤x≤1.
x>1
²-4x+8
3x³
>.<'s
(4) lim,-0
(7) limx→0
(2) Find
tant sec2t
3t
(2+x)³-8
dy
dx
Hese
if xy + x-2y = 1.
8x
(5) limx 0 3sinx-x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc34f2fa0-a784-49a7-b569-374b6dd93db5%2F55de6970-2f73-45b6-adba-95dca2d1a2d4%2Fd6oa1rl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q1/(A): At what points is the function f(x) continuous ?
1
x<0
f(x)=√1-x²
x-1
-{
(B): Find the following [Choose Five only].
(1) Find dy if y = t³ and t = x² +2.
dx
(3) lim-0
(6) lim--00
²+100-10
x²
0 ≤x≤1.
x>1
²-4x+8
3x³
>.<'s
(4) lim,-0
(7) limx→0
(2) Find
tant sec2t
3t
(2+x)³-8
dy
dx
Hese
if xy + x-2y = 1.
8x
(5) limx 0 3sinx-x
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