Scroll to see replies
G''(s) = \frac{d}{ds} \left\{\left[\frac{1}{s} + \frac {q}{1-qs}\right]G(s)\right\} \\[br]= \left\{ G(s) \frac{d}{ds}\left[\frac{1}{s} + \frac {q}{1-qs}\right]\right\} + \left[\frac{1}{s} + \frac {q}{1-qs}\right] G'(s)
\sqrt{\mu_1^2\sigma_2^2+\mu_2^2\sigma_1^2 + \sigma_1^2\sigma_2^2
\displaystyle\mathbb{E}(e^{\theta X}) = \int_{-\infty}^\infty e^{\theta x} (2\pi)^{-1/2} e^{-x^2/2} dx = (2\pi)^{-1/2}\int_{-\infty}^\infty e^{-(x^2-2\theta x)/2} dx\\[br]=(2\pi)^{-1/2}\int_{-\infty}^\infty e^{-(x-\theta)^2/2}\,e^{\theta^2/2} dx =(2\pi)^{-1/2} e^{\theta^2/2} \int_{-\infty}^\infty e^{-(x-\theta)^2/2}dx
\displaystyle \frac{2}{5}a\omega-v = \frac{2}{5}\ctimes \frac{v_0}{7} + \frac{v_0}{7} = \frac{v_0}{5}
\displaystyle \frac{1}{2}[qM(u_1^2+v_1^2)+(1-q)M(u_2^2+v_2^2)]\\[br]=\frac{M}{2}[qv^2 +(1-q)v^2 + q(v/2)^2 +(1-q)(3v/10)^2]\\[br]=\frac{Mv^2}{2}\left[1 + \frac{3}{8}\times \frac {1}{4} + \frac{5}{8} \times \frac{9}{100}c] \\[br]=\frac{Mv^2}{2} + \frac{Mv^2}{2} \left[\frac{3}{32} + \frac{9}{160}\right]
\displaystyle \frac{2}{5}a\omega-v = \frac{2}{5}\ctimes \frac{v_0}{7} + \frac{v_0}{7} = \frac{v_0}{5}
G''(s) = \frac{d}{ds} \left\{\left[\frac{1}{s} + \frac {q}{1-qs}\right]G(s)\right\} \\[br]= \left\{ G(s) \frac{d}{ds}\left[\frac{1}{s} + \frac {q}{1-qs}\right]\right\} + \left[\frac{1}{s} + \frac {q}{1-qs}\right] G'(s)
Last reply 1 day ago
Edexcel A Level Mathematics Paper 1 (9MA0 01) - 4th June 2024 [Exam Chat]Last reply 6 days ago
Edexcel IGCSE Higher tier Mathematics A Paper 1 1H (4MA1) - 8th November 2023Last reply 1 month ago
Edexcel GCSE Mathematics Paper 3 (1MA1 3) - 13th November 2023 [Exam Chat]Last reply 1 month ago
Edexcel GCSE Statistics Paper 1 Higher Tier (1ST0 1H) - 12th June 2023 [Exam Chat]284
Last reply 1 month ago
Edexcel A Level Mathematics Paper 1 (9MA0 01) - 6th June 2023 [Exam Chat]2960
Last reply 1 month ago
AQA A Level Mathematics Paper 1 (7357/1) - 6th June 2023 [Exam Chat]352
Last reply 2 months ago
Edexcel GCSE Mathematics Paper 2 (1MA1 2) - 10th November 2023 [Exam Chat]Last reply 2 months ago
Edexcel A-level Mathematics Paper 1 [6th June 2023] Unofficial Markscheme156
Last reply 2 months ago
Edexcel GCSE Mathematics Paper 1 (1MA1 1) - 8th November 2023 [Exam Chat]Last reply 3 months ago
Edexcel IGCSE Higher tier Mathematics A Paper 1 1H (4MA1) - 19th May 2023 [Exam Chat]232
Last reply 3 months ago
AQA GCSE Mathematics Paper 3 (Higher) 8300/3H - 14th June 2023 [ Exam Chat]247
Last reply 5 months ago
Edexcel IGCSE Higher tier Mathematics A Paper 2 2H (4MA1) - 10th November 2023Last reply 8 months ago
OCR A-level Mathematics A Paper 3 (H240/03) - 20th June 2023 [Exam Chat]169
Last reply 8 months ago
AQA Level 2 Further Maths 2023 Paper 1 (8365/1) & Paper 2 (8365/2) [Exam Chat]489
Last reply 8 months ago
Edexcel A Level Mathematics Paper 3 (9MA0 03) - 20th June 2023 [Exam Chat]1836
Last reply 8 months ago
AQA A Level Mathematics Paper 3 (7357/3) - 20th June 2023 [Exam Chat]307
Last reply 8 months ago
OCR A-level Mathematics B Paper 3 (H640/03) - 20th June 2023 [Exam Chat]132
Last reply 9 months ago
Edexcel A-level Further Mathematics Paper 1 (9FM0 01) - 25th May 2023 [Exam Chat]902
Last reply 1 day ago
Edexcel A Level Mathematics Paper 1 (9MA0 01) - 4th June 2024 [Exam Chat]Last reply 6 days ago
Edexcel IGCSE Higher tier Mathematics A Paper 1 1H (4MA1) - 8th November 2023Last reply 1 month ago
Edexcel GCSE Mathematics Paper 3 (1MA1 3) - 13th November 2023 [Exam Chat]Last reply 1 month ago
Edexcel GCSE Statistics Paper 1 Higher Tier (1ST0 1H) - 12th June 2023 [Exam Chat]284
Last reply 1 month ago
Edexcel A Level Mathematics Paper 1 (9MA0 01) - 6th June 2023 [Exam Chat]2960
Last reply 1 month ago
AQA A Level Mathematics Paper 1 (7357/1) - 6th June 2023 [Exam Chat]352
Last reply 2 months ago
Edexcel GCSE Mathematics Paper 2 (1MA1 2) - 10th November 2023 [Exam Chat]Last reply 2 months ago
Edexcel A-level Mathematics Paper 1 [6th June 2023] Unofficial Markscheme156
Last reply 2 months ago
Edexcel GCSE Mathematics Paper 1 (1MA1 1) - 8th November 2023 [Exam Chat]Last reply 3 months ago
Edexcel IGCSE Higher tier Mathematics A Paper 1 1H (4MA1) - 19th May 2023 [Exam Chat]232
Last reply 3 months ago
AQA GCSE Mathematics Paper 3 (Higher) 8300/3H - 14th June 2023 [ Exam Chat]247
Last reply 5 months ago
Edexcel IGCSE Higher tier Mathematics A Paper 2 2H (4MA1) - 10th November 2023Last reply 8 months ago
OCR A-level Mathematics A Paper 3 (H240/03) - 20th June 2023 [Exam Chat]169
Last reply 8 months ago
AQA Level 2 Further Maths 2023 Paper 1 (8365/1) & Paper 2 (8365/2) [Exam Chat]489
Last reply 8 months ago
Edexcel A Level Mathematics Paper 3 (9MA0 03) - 20th June 2023 [Exam Chat]1836
Last reply 8 months ago
AQA A Level Mathematics Paper 3 (7357/3) - 20th June 2023 [Exam Chat]307
Last reply 8 months ago
OCR A-level Mathematics B Paper 3 (H640/03) - 20th June 2023 [Exam Chat]132
Last reply 9 months ago
Edexcel A-level Further Mathematics Paper 1 (9FM0 01) - 25th May 2023 [Exam Chat]902