Question

Find the value of $\theta$ on $\pi/2 \le \theta \le \pi$ at which the curve $r=\theta - \sin (3\theta)$ is closest to the pole.

score 575 · Answer 1 · 2026-05-14 11:41:18

575

Views

Find the value of $\theta$ on $\pi/2 \le \theta \le \pi$ at which the curve $r=\theta - \sin (3\theta)$ is closest to the pole.

Published on 14 May 2026 - 11:41

score 172 · Answer 2 · 2026-05-10 15:03:18

172

Views

Evaluating Riemann Summation Limit: $\lim\limits_{n\to \infty}\sum\limits_{k=1}^n\frac{6(k-1)^2}{n^3}\sqrt {1+2\frac{(k-1)^3}{n^3}}$

Published on 10 May 2026 - 15:03

score 2k · Answer 3 · 2026-04-22 11:19:06

2k

Views

$\lim_{x \to 0^+} x \log\{\sin(x) \}=?$

Published on 22 Apr 2026 - 11:19

score 100 · Answer 4 · 2026-04-25 19:39:44

100

Views

Integrating $\int_{a}^{\infty} \frac{x^4e^x}{(e^x-1)^2}dx$ for large values of $a$

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score 122 · Answer 5 · 2026-04-13 19:45:59

122

Views

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score 153 · Answer 6 · 2026-04-10 14:28:18

153

Views

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score 217 · Answer 7 · 2026-05-11 04:39:15

217

Views

Calculus I. Finding $\delta$ for a given $\epsilon(=0.1)$ in $\lim\limits_{x\to -2} \sqrt{1-4x}=3$ (Check my error)

Published on 11 May 2026 - 4:39

score 703 · Answer 8 · 2026-04-12 01:32:23

703

Views

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score 47 · Answer 9 · 2026-04-16 14:16:48

47

Views

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score 105 · Answer 10 · 2026-05-11 08:21:47

105

Views

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score 460 · Answer 11 · 2026-04-22 11:23:30

460

Views

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score 112 · Answer 12 · 2026-05-06 13:47:08

112

Views

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Published on 06 May 2026 - 13:47

score 24 · Answer 13 · 2026-04-15 21:34:03

24

Views

Show $g(x)=\frac{f(x+x_0)-f(x_0)}{x}$ is Bounded in some nbd of $x_0$

Published on 15 Apr 2026 - 21:34

score 557 · Answer 14 · 2026-04-13 19:44:45

557

Views

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Published on 13 Apr 2026 - 19:44

score 89 · Answer 15 · 2026-05-11 09:35:29

89

Views

On proving that $f(x) = f'(x)\iff f(x) = e^x$. (Not aware of a possible duplicate.)

Published on 11 May 2026 - 9:35

List Question

Find the value of $\theta$ on $\pi/2 \le \theta \le \pi$ at which the curve $r=\theta - \sin (3\theta)$ is closest to the pole.

Evaluating Riemann Summation Limit: $\lim\limits_{n\to \infty}\sum\limits_{k=1}^n\frac{6(k-1)^2}{n^3}\sqrt {1+2\frac{(k-1)^3}{n^3}}$

$\lim_{x \to 0^+} x \log\{\sin(x) \}=?$

Integrating $\int_{a}^{\infty} \frac{x^4e^x}{(e^x-1)^2}dx$ for large values of $a$

Derivative problem: No $x$ in equation and cubed roots

Fundamental Theorem of Calculus . Why is this wrong

Calculus I. Finding $\delta$ for a given $\epsilon(=0.1)$ in $\lim\limits_{x\to -2} \sqrt{1-4x}=3$ (Check my error)

Partial derivative of summation

Existence and Uniqueness Theorem Question 1 DE

Counterexample for series

Continuity of composition of two-variables and one-variable functions

Is this an open/ closed set? (Pre image, continuity question)

Show $g(x)=\frac{f(x+x_0)-f(x_0)}{x}$ is Bounded in some nbd of $x_0$

Error estimation for numerical differentiation without knowing higher order derivation terms.

On proving that $f(x) = f'(x)\iff f(x) = e^x$. (Not aware of a possible duplicate.)

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