Q5. (x+2, if 1≤x≤2 f(x) = (x² if 2≤ x ≤3 a) Show that f(x) is continuous in the interval [1, 3]. b) Determine f(x) dx. Q6. For sin xy + cos y + x² = ex² + Inx, use implicit differentiation to find dy dx

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 6ECP
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Answer the given questions, showing step by step working outs.
Q5.
(x+2, if 1≤x≤2
f(x)
=
(x²
if 2≤ x ≤3
a) Show that f(x) is continuous in the interval [1, 3].
b) Determine
f(x) dx.
Q6.
For sin xy + cos y + x² = ex² + Inx, use implicit differentiation to find
dy
dx
Transcribed Image Text:Q5. (x+2, if 1≤x≤2 f(x) = (x² if 2≤ x ≤3 a) Show that f(x) is continuous in the interval [1, 3]. b) Determine f(x) dx. Q6. For sin xy + cos y + x² = ex² + Inx, use implicit differentiation to find dy dx
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