Question

Integrate $\int \frac{16x+16}{(x^2+2x+8)^9}dx$ using u substitution.

score 68 · Answer 1 · 2020-03-23 20:46:09

68

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Integrate $\int \frac{16x+16}{(x^2+2x+8)^9}dx$ using u substitution.

Published on 23 Mar 2020 - 20:46

score 254 · Answer 2 · 2020-03-23 21:02:39

254

Views

Find the function $f(x)$ whose graph passes through the point $(0,\frac{4}{3})$ and whose derivative is: $f'(x) = x \sqrt{16-x^2}$

Published on 23 Mar 2020 - 21:02

score 56 · Answer 3 · 2020-03-23 21:13:34

56

Views

Let $f $ be such that $f(0) = f'(0) = 1$ and for any $x,y$ real numbers, $f(x+y) = f(x)f(y)$. Prove that $f(x) = \exp(x)$.

Published on 23 Mar 2020 - 21:13

score 258 · Answer 4 · 2026-04-06 17:20:54

258

Views

"Size Issues" and Cantor's Paradox in HoTT

Published on 06 Apr 2026 - 17:20

score 115 · Answer 5 · 2020-03-23 22:46:47

115

Views

Verify that the followings are indeed functors

Published on 23 Mar 2020 - 22:46

score 52 · Answer 6 · 2020-03-23 23:01:36

52

Views

Proof Verification: Prove a nonzero, proper, prime ideal in a PID is maximal

Published on 23 Mar 2020 - 23:01

score 103 · Answer 7 · 2026-03-28 04:33:14

103

Views

Does product measure being ergodic imply component ergodic?

Published on 28 Mar 2026 - 4:33

score 24 · Answer 8 · 2026-04-03 22:01:04

24

Views

Multi-variable functions and Physical Interpretation

Published on 03 Apr 2026 - 22:01

score 57 · Answer 9 · 2020-03-24 00:30:46

57

Views

Proof verification : A weird identity involving sums

Published on 24 Mar 2020 - 0:30

score 108 · Answer 10 · 2026-04-02 02:21:22

108

Views

Relate rates problem

Published on 02 Apr 2026 - 2:21

score 39 · Answer 11 · 2026-03-27 07:17:11

39

Views

Prove that for the defined $\langle .,. \rangle$ there exist $0 < a \le b$ such that $a\|x\| \le \|x\|_\ast ≤ b\|x\|$ for all $x \in H$.

Published on 27 Mar 2026 - 7:17

score 314 · Answer 12 · 2020-03-24 03:22:59

314

Views

show that in a Hilbert space $\|x\| \le \lim \inf _{k\to \infty}\|x_k\|$

Published on 24 Mar 2020 - 3:22

score 152 · Answer 13 · 2020-03-24 05:23:21

152

Views

The difference of two vectors in a hyperplane also lies in the hyperplane?

Published on 24 Mar 2020 - 5:23

score 255 · Answer 14 · 2020-03-24 08:26:29

255

Views

Proving that every increasing function is injective?

Published on 24 Mar 2020 - 8:26

score 44 · Answer 15 · 2026-03-29 12:49:40

44

Views

prove f+g uniform continuity

Published on 29 Mar 2026 - 12:49

List Question

Integrate $\int \frac{16x+16}{(x^2+2x+8)^9}dx$ using u substitution.

Find the function $f(x)$ whose graph passes through the point $(0,\frac{4}{3})$ and whose derivative is: $f'(x) = x \sqrt{16-x^2}$

Let $f $ be such that $f(0) = f'(0) = 1$ and for any $x,y$ real numbers, $f(x+y) = f(x)f(y)$. Prove that $f(x) = \exp(x)$.

"Size Issues" and Cantor's Paradox in HoTT

Verify that the followings are indeed functors

Proof Verification: Prove a nonzero, proper, prime ideal in a PID is maximal

Does product measure being ergodic imply component ergodic?

Multi-variable functions and Physical Interpretation

Proof verification : A weird identity involving sums

Relate rates problem

Prove that for the defined $\langle .,. \rangle$ there exist $0 < a \le b$ such that $a\|x\| \le \|x\|_\ast ≤ b\|x\|$ for all $x \in H$.

show that in a Hilbert space $\|x\| \le \lim \inf _{k\to \infty}\|x_k\|$

The difference of two vectors in a hyperplane also lies in the hyperplane?

Proving that every increasing function is injective?

prove f+g uniform continuity

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