2. Test continuity at x = 0 and x 3 for the function - 3

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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Don't provide wrong answer.  Kindly provide both parts.

2. Test continuity at x = 0 and x = 3 for the function
(3 + 2x;
f(x) = { 3- 2x; 0<x<3
(-3 – 2x;
- 3<x<0
x2 3
Differentiate with respect to x of the following functions:
(i) (x² + 1) tan-'x- x
(ii) x³ loga x + e cos x
d
(iii) e²In cos 2x iv)
102In cos 2x
dx
Transcribed Image Text:2. Test continuity at x = 0 and x = 3 for the function (3 + 2x; f(x) = { 3- 2x; 0<x<3 (-3 – 2x; - 3<x<0 x2 3 Differentiate with respect to x of the following functions: (i) (x² + 1) tan-'x- x (ii) x³ loga x + e cos x d (iii) e²In cos 2x iv) 102In cos 2x dx
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