Question

Given that $x = 5\sin(3t), t\ge 0$: Find the maximum value of $x$ and the smallest value of $t$ for which it occurs.

score 198 · Answer 1 · 2020-07-14 09:29:06

198

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Given that $x = 5\sin(3t), t\ge 0$: Find the maximum value of $x$ and the smallest value of $t$ for which it occurs.

Published on 14 Jul 2020 - 9:29

score 54 · Answer 2 · 2026-03-24 08:18:14

54

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Generalized solution to popular "Wires in elevator shaft brainteaser"

Published on 24 Mar 2026 - 8:18

score 25 · Answer 3 · 2026-03-29 15:03:21

25

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Finding K depending upon the following criteria?

Published on 29 Mar 2026 - 15:03

score 710 · Answer 4 · 2020-07-15 23:44:26

710

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In how many ways can 10 people with distinct heights be permuted such that there are no 6 consecutive people in increasing order of height?

Published on 15 Jul 2020 - 23:44

score 227 · Answer 5 · 2020-07-16 09:28:19

227

Views

Integration: find the shaded area in diagram bound by the curves $y=\sin(2x)$ and $y=\cos(x)$ for: $\frac{-\pi}{2} \le x \le \frac{\pi}{2}$

Published on 16 Jul 2020 - 9:28

score 1.1k · Answer 6 · 2020-07-17 09:36:57

1.1k

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Differentiation + integration: how to solve for acceleration and displacement given a specific velocity time graph?

Published on 17 Jul 2020 - 9:36

score 109 · Answer 7 · 2020-07-17 18:14:42

109

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What formula could I use to find out how many paperclips my factories could produce?

Published on 17 Jul 2020 - 18:14

score 63 · Answer 8 · 2020-07-19 16:06:00

63

Views

Number of roots between $–\pi$ and $\pi$ of the equation $\frac{2}{3} \sin x\cdot x=1$ is

Published on 19 Jul 2020 - 16:06

score 148 · Answer 9 · 2026-04-01 05:57:12

148

Views

Finding linear transformation equation to find linear transformation matrix

Published on 01 Apr 2026 - 5:57

score 58 · Answer 10 · 2020-07-21 19:04:44

58

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Find out the pairwise prime integer solutions?

Published on 21 Jul 2020 - 19:04

score 40 · Answer 11 · 2020-07-21 21:59:56

40

Views

Let $x=\begin{bmatrix}3\cr4\end{bmatrix}$ and $A=\begin{bmatrix}0&x^T\cr x&0\end{bmatrix}$ is A diagonizable?

Published on 21 Jul 2020 - 21:59

score 157 · Answer 12 · 2020-07-22 00:25:36

157

Views

IMO problems, can someone help me to learn problem solving skills?

Published on 22 Jul 2020 - 0:25

score 150 · Answer 13 · 2020-07-22 16:37:30

150

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Evaluating S depending upon following condition: Calculate the sum $S=\Sigma \Sigma \Sigma x_{i} x_{j} x_{k},$

Published on 22 Jul 2020 - 16:37

score 77 · Answer 14 · 2020-07-22 20:18:05

77

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Let $A,B\in M_n (\mathbb R), \lambda\in \sigma(B), \alpha \in \sigma (B)$ and $<x,y>$ be inner product show $<Ax+By,x>=\lambda||x||^2+\alpha<x,y>$

Published on 22 Jul 2020 - 20:18

score 106 · Answer 15 · 2020-07-23 03:39:22

106

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Question about the Hat Matching Problem

Published on 23 Jul 2020 - 3:39

List Question

Given that $x = 5\sin(3t), t\ge 0$: Find the maximum value of $x$ and the smallest value of $t$ for which it occurs.

Generalized solution to popular "Wires in elevator shaft brainteaser"

Finding K depending upon the following criteria?

In how many ways can 10 people with distinct heights be permuted such that there are no 6 consecutive people in increasing order of height?

Integration: find the shaded area in diagram bound by the curves $y=\sin(2x)$ and $y=\cos(x)$ for: $\frac{-\pi}{2} \le x \le \frac{\pi}{2}$

Differentiation + integration: how to solve for acceleration and displacement given a specific velocity time graph?

What formula could I use to find out how many paperclips my factories could produce?

Number of roots between $–\pi$ and $\pi$ of the equation $\frac{2}{3} \sin x\cdot x=1$ is

Finding linear transformation equation to find linear transformation matrix

Find out the pairwise prime integer solutions?

Let $x=\begin{bmatrix}3\cr4\end{bmatrix}$ and $A=\begin{bmatrix}0&x^T\cr x&0\end{bmatrix}$ is A diagonizable?

IMO problems, can someone help me to learn problem solving skills?

Evaluating S depending upon following condition: Calculate the sum $S=\Sigma \Sigma \Sigma x_{i} x_{j} x_{k},$

Let $A,B\in M_n (\mathbb R), \lambda\in \sigma(B), \alpha \in \sigma (B)$ and $<x,y>$ be inner product show $<Ax+By,x>=\lambda||x||^2+\alpha<x,y>$

Question about the Hat Matching Problem

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