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Operation ResearchQuestion and Answers: Page 1

Question Number 217769 Answers: 1 Comments: 1

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) U^(1/2)

$G i v e n a c o n s u m e r w i t h t h e u t i l i t y$ $f u n c t i o n U = X_{1}^{\frac{1}{4}} + X_{2} w h o f a c e s$ $a b u d g e t c o n s t r a i n t o f B = P_{1} X_{1} P_{2} X_{2}$ $S h o w t h a t t h e e x p e m d i t u r e f u n c t i o n$ $f a c i n g t h e c o n s u m e r i s$ $B = 2 P_{1}^{\frac{1}{2}} P_{2}^{\frac{1}{2}} U^{\frac{1}{2}}$

Question Number 208608 Answers: 2 Comments: 0

Question Number 204469 Answers: 1 Comments: 0

Given the function f(x) = { ((2, 0< x <2)),((−2, −2 <x < 0)) :} 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. (d) hence show that Σ_(n=1) ^∞ (((−1)^n )/(2n−1)) = (π/4)

$Given the function f (x) = {\begin{cases} 2, 0 < x < 2 \\ - 2, - 2 < x < 0 \end{cases}$ $of period 4$ $(a) sketch the graph of y = f (x), for - 6 < x < 6$ $(b) Find the Fourier coefficient a_{0}, a_{n}, and b_{n}$ $(c) write down the Fourier series .$ $(d) hence show that \underset{n = 1}{\sum^{\infty}} \frac{{(- 1)}^{n}}{2 n - 1} = \frac{π}{4}$

Question Number 204104 Answers: 0 Comments: 0

Question Number 182854 Answers: 0 Comments: 7

(sin54)^(10) =x_1 x_(1 ) is root ax^2 +bx+c=0 a,b,c is integer a=?

${(s i n 54)}^{10} = x_{1} x_{1} i s r o o t$ ${a x}^{2} + b x + c = 0$ $a, b, c i s i n t e g e r$ $a = ?$

Question Number 182627 Answers: 1 Comments: 0

(((1+(√5))/2))^(15) =((a+b(√5))/2) find a+b

${(\frac{1 + \sqrt{5}}{2})}^{15} = \frac{a + b \sqrt{5}}{2}$ $f i n d a + b$

Question Number 179857 Answers: 0 Comments: 1

Question Number 178653 Answers: 0 Comments: 0

Question Number 178652 Answers: 0 Comments: 0

calculer la branche infinie de(√(x^2 +2x+4))

$c a l c u l e r l a b r a n c h e i n f i n i e d e \sqrt{x^{2} + 2 x + 4}$

Question Number 178375 Answers: 1 Comments: 1

calculer une primitive de −3x/(√(x^2 +3))

$c a l c u l e r u n e p r i m i t i v e d e - 3 x / \sqrt{x^{2} + 3}$

Question Number 178349 Answers: 1 Comments: 0

etudier la fonction suivante 4x^3 −9x^2 +6x+1 calculer les limites puis dresser son tableau de variation

$e t u d i e r l a f o n c t i o n s u i v a n t e 4 x^{3} - 9 x^{2} + 6 x + 1$ $c a l c u l e r l e s l i m i t e s p u i s d r e s s e r s o n t a b l e a u d e v a r i a t i o n$

Question Number 176723 Answers: 0 Comments: 0

donner la forme trigonometrique(i−1)^5 /(i−4)^4

$d o n n e r l a f o r m e t r i g o n o m e t r i q u e {(i - 1)}^{5} / {(i - 4)}^{4}$

Question Number 176719 Answers: 0 Comments: 0

Question Number 176549 Answers: 1 Comments: 0

donner la forme trigonometrique de 1/4(cosΠ/9+isinΠ/9)

$d o n n e r l a f o r m e t r i g o n o m e t r i q u e d e 1 / 4 (c o s Π / 9 + i s i n Π / 9)$

Question Number 176379 Answers: 1 Comments: 0

lineariser sin^5 (x)

$l i n e a r i s e r {s i n}^{5} (x)$

Question Number 176366 Answers: 1 Comments: 0

donner la forme trigonometrique de(1−i(√)3)(1+i)(cosθ−isinθ)

$d o n n e r l a f o r m e t r i g o n o m e t r i q u e d e (1 - i \sqrt{} 3) (1 + i) (c o s θ - i s i n θ)$

Question Number 176123 Answers: 0 Comments: 0

Question Number 176118 Answers: 0 Comments: 1

Question Number 176070 Answers: 0 Comments: 3

demontrer par recurrence que pour tout n>0 appartenent a l ensemble des entier naturel 3^(2n−2^(n ) ) est multiple de 7

$d e m o n t r e r p a r r e c u r r e n c e q u e p o u r t o u t n > 0 a p p a r t e n e n t a l e n s e m b l e d e s e n t i e r n a t u r e l 3^{2 n - 2^{n}} e s t m u l t i p l e d e 7$

Question Number 176060 Answers: 2 Comments: 0

x^2 −4x+5=0

$x^{2} - 4 x + 5 = 0$

Question Number 176049 Answers: 1 Comments: 0

calculer (−1/2+i(√(3/2)^3 ))

$c a l c u l e r (- 1 / 2 + i \sqrt{{3 / 2)}^{3}}$

Question Number 176090 Answers: 2 Comments: 1

determiner z tel que z=z^2 −z+2

$d e t e r m i n e r z t e l q u e z = z^{2} - z + 2$

Question Number 175083 Answers: 0 Comments: 2

how the next number 1,2,5,9,6,13,8,17,....

$h o w t h e n e x t n u m b e r 1, 2, 5, 9, 6, 13, 8, 17, . . . .$

Question Number 181400 Answers: 0 Comments: 2

Question Number 154561 Answers: 1 Comments: 0

Question Number 144910 Answers: 0 Comments: 0

Γ(((n+1)/(1−i)))=????

$Γ (\frac{n + 1}{1 - i}) = ? ? ? ?$

Pg 1 Pg 2 Pg 3 Pg 4

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