Operation Research – Tinku Tara

Given-a-consumer-with-the-utility-function-U-X-1-1-4-X-2-who-faces-a-budget-constraint-of-B-P-1-X-1-P-2-X-2-Show-that-the-expemditure-function-facing-the-consumer-is-B-2P-1-1-2-P-2-1-2

Tinku Tara March 20, 2025 Operation Research 0 Comments

Question Number 217769 by nECxx2 last updated on 20/Mar/25 $G i v e n a c o n s u m e r w i t h t h e u t i l i t y$ $f u n c t i o n U = X_{1}^{\frac{1}{4}} + X_{2} w h o f a c e s$ $a b u d g e t c o n s t r a i n t o f B = P_{1} X_{1} P_{2} X_{2}$ $S h o w t h a t t h e e x p e m d i t u r e f u n c t i o n$ $${facing}\:{the}\:{consumer}\:{is} \…

Question-208608

Tinku Tara June 18, 2024 Operation Research 0 Comments

Question Number 208608 by Tawa11 last updated on 18/Jun/24 Answered by mr W last updated on 18/Jun/24 $R^{2} = {(\frac{a}{2})}^{2} + {(\frac{a}{2} + b)}^{2}$ $$\Rightarrow{R}=\sqrt{\frac{{a}^{\mathrm{2}} }{\mathrm{2}}+{ab}+{b}^{\mathrm{2}} } \…

Given-the-function-f-x-2-0-lt-x-lt-2-2-2-lt-x-lt-0-of-period-4-a-sketch-the-graph-of-y-f-x-for-6-lt-x-lt-6-b-Find-the-Fourier-coefficient-a-0-a-n-and-b-n-

Tinku Tara February 18, 2024 Operation Research 0 Comments

Question Number 204469 by DeArtist last updated on 18/Feb/24 $Given the function f (x) = {\begin{cases} 2, 0 < x < 2 \\ - 2, - 2 < x < 0 \end{cases}$ $of period 4$ $(a) sketch the graph of y = f (x), for - 6 < x < 6$ $(b) Find the Fourier coefficient a_{0}, a_{n}, and b_{n}$ $(c) write down the Fourier series .$ $$\left(\mathrm{d}\right)\:\mathrm{hence}\:\mathrm{show}\:\mathrm{that}\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} }{\mathrm{2}{n}−\mathrm{1}}\:=\:\frac{\pi}{\mathrm{4}}…

Question-204104

Tinku Tara February 6, 2024 Operation Research 0 Comments

Question Number 204104 by shiva143 last updated on 06/Feb/24 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-195281

Tinku Tara July 28, 2023 Operation Research 0 Comments

Question Number 195281 by Whaleroh last updated on 28/Jul/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

x-1-2-D-2-x-1-D-1-y-4cos-ln-x-1-

Tinku Tara June 4, 2023 Operation Research 0 Comments

Question Number 130827 by bemath last updated on 29/Jan/21 $[{(x + 1)}^{2} D^{2} + (x + 1) D + 1] y = 4 \cos (\ln (x + 1))$ Answered by EDWIN88 last updated on 29/Jan/21 $l e t \ln (x + 1) = t \Rightarrow x + 1 = e^{t}$ $$\begin{cases}{\frac{{dy}}{{dx}}\:=\:\frac{{dy}}{{dt}}×\frac{{dt}}{{dx}}\:=\:\frac{\mathrm{1}}{{x}+\mathrm{1}}.\frac{{dy}}{{dt}}}\{\frac{{d}^{\mathrm{2}} {y}}{{dx}}\:=\:\frac{{d}}{{dx}}\:\left[\:\frac{\mathrm{1}}{{x}+\mathrm{1}}\:\frac{{dy}}{{dt}}\:\right]=\:\frac{\mathrm{1}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}}…

Solve-134-x-1-16-x-768-

Tinku Tara June 4, 2023 Operation Research 0 Comments

Question Number 129131 by Boucatchou last updated on 13/Jan/21 $S o l v e 134^{x + 1} = 16^{x} - 768$ Commented by Dwaipayan Shikari last updated on 13/Jan/21 $N o s o l u t i o n i n x \in R$ …

Question-129102

Tinku Tara June 4, 2023 Operation Research 0 Comments

Question Number 129102 by AbdulAzizabir last updated on 12/Jan/21 Answered by Olaf last updated on 12/Jan/21 $\underset{k = 1}{\sum^{n}} k^{2} = {1, 5, 14, 30, 55, \dots} = \frac{n (n + 1) (2 n + 1)}{6}$ $S = \frac{2}{3} (\frac{1}{4} - \frac{1}{20} + \frac{1}{56} - \frac{1}{120} + \frac{1}{220} - \dots)$ $$\mathrm{S}\:=\:\frac{\mathrm{1}}{\mathrm{6}}\left(\frac{\mathrm{1}}{\mathrm{1}}−\frac{\mathrm{1}}{\mathrm{5}}+\frac{\mathrm{1}}{\mathrm{14}}−\frac{\mathrm{1}}{\mathrm{30}}+\frac{\mathrm{1}}{\mathrm{55}}−…\right) \…

A-particle-P-moves-on-the-curve-with-polar-equation-r-e-k-where-r-are-polar-coordinates-referred-to-a-fixed-pole-and-k-is-a-positive-constant-Given-that-the-radial-velocity-of-P-is-k-

Tinku Tara June 4, 2023 Operation Research 0 Comments

Question Number 63298 by Rio Michael last updated on 02/Jul/19 $A p a r t i c l e P, m o v e s o n t h e c u r v e w i t h p o l a r e q u a t i o n$ $r = e^{k θ}, w h e r e (r, θ) a r e p o l a r c o o r d i n a t e s r e f e r r e d t o a f i x e d$ $p o l e a n d k i s a p o s i t i v e c o n s t a n t . G i v e n t h a t t h e r a d i a l v e l o c i t y$ $o f P i s \frac{k}{r} s h o w t h a t t h e t r a n s v e r s e a c c e l e r a t i o n o f t h p a r t i c l e$ $i s z e r o .$ Commented…

A-n-1-5-n-1-5-n-A-n-

Tinku Tara June 4, 2023 Operation Research 0 Comments

Question Number 124041 by pticantor last updated on 30/Nov/20 $A_{n} = {(1 + \sqrt{5})}^{n} - {(1 - \sqrt{5})}^{n}$ $A_{n} = ? ? ? ?$ …

Category: Operation Research