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Question Number 145443 Answers: 2 Comments: 0

The roots of the equation 2x^2 +px+q=0 are 2α+β and α+2β. Find the values of p and q

$T h e r o o t s o f t h e e q u a t i o n$ $2 x^{2} + p x + q = 0 a r e 2 α + β a n d$ $α + 2 β . F i n d t h e v a l u e s o f p a n d q$

Question Number 145442 Answers: 1 Comments: 0

soit z∈C montrer que cos(z) et sin (z) ne sont pas bornees que vaut sin^2 (z)+cos^2 (z)=??

$s o i t z \in C m o n t r e r q u e c o s (z) e t s i n (z)$ $n e s o n t p a s b o r n e e s$ $q u e v a u t {s i n}^{2} (z) + {c o s}^{2} (z) = ? ?$

Question Number 145437 Answers: 0 Comments: 0

original length of the iron rod=175.65 % increase=6(1/3)%×175.65 =((19)/3)×(1/(100))×175.65 =((19×175.65)/(3×100))=((3337.35)/(300))=11.1245 new length=original length+increased length =175.65+11.1245 =186.7745cm solution by CASIO.....

$o r i g i n a l l e n g t h o f t h e i r o n r o d = 175.65$ $% i n c r e a s e = 6 \frac{1}{3} % \times 175.65$ $= \frac{19}{3} \times \frac{1}{100} \times 175.65$ $= \frac{19 \times 175.65}{3 \times 100} = \frac{3337.35}{300} = 11.1245$ $n e w l e n g t h = o r i g i n a l l e n g t h + i n c r e a s e d l e n g t h$ $= 175.65 + 11.1245$ $= 186.7745 c m$ $s o l u t i o n b y C A S I O . . . . .$

Question Number 145436 Answers: 0 Comments: 2

Question Number 145553 Answers: 1 Comments: 0

Question Number 145423 Answers: 2 Comments: 0

Question Number 145420 Answers: 1 Comments: 0

Developpement limite^ ge^ ne^ ralise^ au voisinnage de −∞ de g(x)=((√(1+x^2 ))/(1+x+(√(1+x^2 )))) et de^ duire une asymptote en −∞ ainsi que sa position relative par rapport a la courbe.

$Developpement limit \overset{´}{e} g \overset{´}{e n} \overset{´}{e r a l i s} \overset{´}{e} au$ $voisinnage de - \infty de g (x) = \frac{\sqrt{1 + x^{2}}}{1 + x + \sqrt{1 + x^{2}}}$ $et d \overset{´}{e d u i r e} une asymptote en - \infty$ $ainsi que sa position relative par rapport$ $a la courbe .$

Question Number 145459 Answers: 1 Comments: 0

prove (A − B)−C = A −(B ∪ C)

$p r o v e (A - B) - C = A - (B \cup C)$

Question Number 145412 Answers: 1 Comments: 0

∫ln(cosx)dx=?

$\int \ln (cosx) dx = ?$

Question Number 145411 Answers: 1 Comments: 0

un espace vectoriel n′as un seul hyper-plan.. quelle est sa dimension.?

$un espace vectoriel n^{'} as un seul$ $hyper - plan . . quelle est sa dimension . ?$

Question Number 145408 Answers: 0 Comments: 0

∫_0 ^x ⌊u⌋(⌊u⌋+1)f(u)du=Σ_(n=1) ^(⌊x⌋) n∫_n ^x f(u)du Prove that

$\int_{0}^{x} ⌊ u ⌋ (⌊ u ⌋ + 1) f (u) d u = \underset{n = 1}{\sum^{⌊ x ⌋}} n \int_{n}^{x} f (u) d u$ $P r o v e t h a t$

Question Number 145406 Answers: 2 Comments: 0

if log_a c+log_c b=2 ; log_b c+log_a c=0 find (1/(log_a b)) + (1/(log_b c)) + (1/(log_c a)) = ?

$i f {l o g}_{a} c + {l o g}_{c} b = 2; {l o g}_{b} c + {l o g}_{a} c = 0$ $f i n d \frac{1}{{l o g}_{a} b} + \frac{1}{{l o g}_{b} c} + \frac{1}{{l o g}_{c} a} = ?$

Question Number 145399 Answers: 1 Comments: 0

Prove that lim_(n→+∞) ∫^( n) _( 0) (t^n /(n!)) e^(−t) dt = (1/2)

$Prove that$ $\lim_{n \to + \infty} {\int_{0}}^{n} \frac{t^{n}}{n!} e^{- t} dt = \frac{1}{2}$

Question Number 145393 Answers: 2 Comments: 0

The number (2/(13)) expressed as a decimal is 0.153846153846... The 200th and 300th digits are?

$The number \frac{2}{13} expressed as a decimal is 0.153846153846 . . .$ $The 200 th and 300 th digits are ?$

Question Number 145391 Answers: 2 Comments: 0

Developpement limite^ a l′ordre 2 de g(x)=((√(1+x^2 ))/(1+x+(√(1+x^2 ))))

$Developpement limit \overset{´}{e} a l^{'} ordre 2 de$ $g (x) = \frac{\sqrt{1 + x^{2}}}{1 + x + \sqrt{1 + x^{2}}}$

Question Number 145390 Answers: 1 Comments: 0

ϕ(x)=ln(((e^(x+cos(x)) −e)/(x+x^2 ))) montrer que ϕ se prolonge par continuite^ en 0. on note ψ son prolongement, montrer que ψ est de^ rivable en 0.. Ainsi donner une e^ quation de la tangente, position de la courbe par rapport a la tangente, et faire le dessin..

$φ (x) = \ln (\frac{e^{x + \cos (x)} - e}{x + x^{2}})$ $montrer que φ se prolonge par continuit \overset{´}{e}$ $en 0 . on note ψ son prolongement, montrer$ $que ψ est d \overset{´}{e r i v a b l e} en 0 . . Ainsi donner une$ $\overset{´}{e q u a t i o n} de la tangente, position de la courbe$ $par rapport a la tangente, et faire le dessin . .$

Question Number 145385 Answers: 1 Comments: 0

∫_0 ^( (π/2)) ((1+cos (2x))/(sin (2x ))). ln((sec (x)))^(1/3) dx=?

$\int_{0}^{\frac{π}{2}} \frac{1 + \cos (2 x)}{\sin (2 x)} . \ln \sqrt[3]{\sec (x)} dx = ?$

Question Number 145383 Answers: 2 Comments: 0

if a;b;c∈R^+ find (((abc))^(1/3) + (1/a) + (1/(2b)) + (1/(4c)))_(min) = ?

$i f a; b; c \in R^{+}$ $f i n d {(\sqrt[3]{a b c} + \frac{1}{a} + \frac{1}{2 b} + \frac{1}{4 c})}_{m i n} = ?$

Question Number 145379 Answers: 1 Comments: 1

Question Number 145378 Answers: 1 Comments: 0

∫_0 ^( ∞) ((√( 1+ x^4 )) −x^( 2) )dx=?

$\int_{0}^{\infty} (\sqrt{1 + x^{4}} - x^{2}) dx = ?$

Question Number 145373 Answers: 1 Comments: 0

Question Number 145370 Answers: 0 Comments: 0

There are two circles , C of radius 1 and C_r of radius r which intersect on a plain At each of the two intersecting points on the circumferences of C and C_r ,the tangent to C and that to C_r form an angle 120° outside of C and C_r . Fill in the blanks with the answers to the following questions (1) Express the distance d between the centers of C and C_r in terms of r (2) Calculate the value of r at which d in (1) attains the minimum (3) in case(2) express the area of the intersection of C and C_r in terms of the constant π

$There are two circles, C of radius 1 and C_{r}$ $of radius r which intersect on a plain$ $At each of the two intersecting$ $points on the circumferences of$ $C and C_{r}, the tangent to C and$ $that to C_{r} form an angle 120 ° outside$ $of C and C_{r} . Fill in the blanks$ $with the answers to the following$ $questions$ $(1) Express the distance d between$ $the centers of C and C_{r} in terms$ $of r$ $(2) Calculate the value of r at$ $which d in (1) attains the minimum$ $(3) in case (2) express the area$ $of the intersection of C and C_{r}$ $in terms of the constant π$

Question Number 145363 Answers: 3 Comments: 0

Without L′Hopital rule lim_(x→π/4) (((√2) cos x−1)/(cot x−1)) =?

$Without L^{'} Hopital rule$ $\lim_{x \to π / 4} \frac{\sqrt{2} \cos x - 1}{\cot x - 1} = ?$

Question Number 145361 Answers: 0 Comments: 0

∫_0 ^(+∞) ((t^2 +3t+3)/((t+1)^3 )) e^(−t) cos(t) dt

$\int_{0}^{+ \infty} \frac{t^{2} + 3 t + 3}{{(t + 1)}^{3}} e^{- t} \cos (t) dt$

Question Number 145359 Answers: 1 Comments: 0

How many digits will there be in 875^(16) ?

$How many digits will there be$ $in 875^{16} ?$

Question Number 145358 Answers: 1 Comments: 0

Evaluate:: ∫_0 ^1 ln(1+x^2 )∙arctan(x)dx=?

$Evaluate :: \int_{0}^{1} \ln (1 + x^{2}) \cdot \arctan (x) dx = ?$

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