HelmutKnaust: Created page with "'''Problem 31.''' Exercise 4.3.1 '''Problem 32.''' Exercise 4.4.7 '''Problem 33.''' Exercise 4.4.9. Hint for (b): Consider $f(x)=\sqrt{x}$ on $[0,1]$. '''Problem 34.''' Ex..."

2014-11-12T21:47:31Z

Created page with "'''Problem 31.''' Exercise 4.3.1 '''Problem 32.''' Exercise 4.4.7 '''Problem 33.''' Exercise 4.4.9. Hint for (b): Consider $f(x)=\sqrt{x}$ on $[0,1]$. '''Problem 34.''' Ex..."

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'''Problem 31.''' Exercise 4.3.1

'''Problem 32.''' Exercise 4.4.7

'''Problem 33.''' Exercise 4.4.9. Hint for (b): Consider $f(x)=\sqrt{x}$ on $[0,1]$.

'''Problem 34.''' Exercise 4.5.7

'''Problem 35.''' Let $f:\mathbb{R}\to\mathbb{R}$ be defined by
\[f(x)=\begin{cases}x^2&\mbox{ if }x \mbox{ is rational}\\x^3 & \mbox{ if } x \mbox{ is irrational}\end{cases}\]
# For which values of $x$ is $f$ continuous? Support your conjecture by a proof.
# For which values of $x$ is $f$ differentiable? Support your conjecture by a proof.

CRN 11982: HW 7 - Revision history

HelmutKnaust: Created page with "'''Problem 31.''' Exercise 4.3.1 '''Problem 32.''' Exercise 4.4.7 '''Problem 33.''' Exercise 4.4.9. Hint for (b): Consider $f(x)=\sqrt{x}$ on $[0,1]$. '''Problem 34.''' Ex..."