List questions from solution-verification

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Error in Spivak's Chain Rule proof?

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What is the probability that the distance between x and y is less than d?

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Proof of theorem 3.4 in Stein's real analysis

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If $p^k m^2$ is an odd perfect number, then $D(p^k)/s(p^k)$ is in lowest terms. Does this contradict $D(p^k)D(m^2)=2s(p^k)s(m^2)$?

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Verify my proof: "for all odd integers $a$ and $b$, $b^2-a^2 \neq 4$"

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How do we evaluate: $\lim_{x \to y}{\frac{x^n - y^n}{x - y}} = ny^{n - 1}$

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Prove that for all positive integers x that $\lceil \log_{3}(x)\rceil \leq \lfloor \log_{2}(x) \rfloor$

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Area under folium of Descartes

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In intuitionistic FOL, does $\forall x \forall y (P(x) \lor Q(y))$ imply $(\forall x, P(x)) \lor (\forall y, Q(y))$?

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Prove: $\dim(W_1 \cap W_2) \ge \dim V - 2\dim W $

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Proof, that $E(x) \neq 0$

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Theorem 3 Corollary 2, Section 7.2 of Hoffman’s Linear Algebra

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Prove that if $ T^2 = 0 $, then $ \operatorname{Im} T \subseteq \operatorname{Ker}T $

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Question about proof of weak derivative of Heaviside function

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List Question

Exercise 7, Section 7.1 of Hoffman’s Linear Algebra

Error in Spivak's Chain Rule proof?

What is the probability that the distance between x and y is less than d?

Proof of theorem 3.4 in Stein's real analysis

If $p^k m^2$ is an odd perfect number, then $D(p^k)/s(p^k)$ is in lowest terms. Does this contradict $D(p^k)D(m^2)=2s(p^k)s(m^2)$?

Verify my proof: "for all odd integers $a$ and $b$, $b^2-a^2 \neq 4$"

How do we evaluate: $\lim_{x \to y}{\frac{x^n - y^n}{x - y}} = ny^{n - 1}$

Prove that for all positive integers x that $\lceil \log_{3}(x)\rceil \leq \lfloor \log_{2}(x) \rfloor$

Area under folium of Descartes

In intuitionistic FOL, does $\forall x \forall y (P(x) \lor Q(y))$ imply $(\forall x, P(x)) \lor (\forall y, Q(y))$?

Prove: $\dim(W_1 \cap W_2) \ge \dim V - 2\dim W $

Proof, that $E(x) \neq 0$

Theorem 3 Corollary 2, Section 7.2 of Hoffman’s Linear Algebra

Prove that if $ T^2 = 0 $, then $ \operatorname{Im} T \subseteq \operatorname{Ker}T $

Question about proof of weak derivative of Heaviside function

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