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Question Number 76037 Answers: 1 Comments: 0

Prove That sin 3°sin 39°sin 75°=sin 9°sin 24°sin 30°

$P r o v e T h a t$ $\sin 3 ° \sin 39 ° \sin 75 ° = \sin 9 ° \sin 24 ° \sin 30 °$

Question Number 76012 Answers: 1 Comments: 0

show that 1−3sin^2 xcos^2 x=(5/8)+(3/8)cos4x

$show that$ $1 - {3 \sin}^{2} x \cos^{2} x = \frac{5}{8} + \frac{3}{8} \cos 4 x$

Question Number 75954 Answers: 0 Comments: 2

prove that (ann(I),+,.) identical in (R,+,.)?

$p r o v e t h a t (a n n (I), +, .) i d e n t i c a l i n (R, +, .) ?$

Question Number 75953 Answers: 0 Comments: 0

prove that (C(I),+,.) identical in (R,+,.)?

$p r o v e t h a t (C (I), +, .) i d e n t i c a l i n (R, +, .) ?$

Question Number 75952 Answers: 0 Comments: 1

are this (cent(R),+,.)identical in the ring (R,+,.) ? pleas sir are you can help me?

$a r e t h i s (c e n t (R), +, .) i d e n t i c a l i n t h e r i n g (R, +, .) ?$ $p l e a s s i r a r e y o u c a n h e l p m e ?$

Question Number 75879 Answers: 1 Comments: 0

Question Number 75847 Answers: 0 Comments: 2

{ ((((tgx−tgy)/(1−tgx.tgy))=tg(x/2))),(( ((tgx+tgy)/(1+tgxtgy))=tg(y/2))) :}

${\begin{cases} \frac{tgx - tgy}{1 - tgx . tgy} = tg \frac{x}{2} \\ \frac{tgx + tgy}{1 + tgxtgy} = tg \frac{y}{2} \end{cases}$

Question Number 75435 Answers: 0 Comments: 4

solve the integral with Residue theorem. ∫_0 ^(2π) ((3 dθ)/(9 +sin^2 θ))

$s o l v e t h e i n t e g r a l w i t h R e s i d u e t h e o r e m .$ $\underset{0}{\int^{2 π}} \frac{3 d θ}{9 + \sin^{2} θ}$

Question Number 75351 Answers: 1 Comments: 0

Question Number 75321 Answers: 0 Comments: 0

lim_(x→∞) ((𝚷_(k=0) ^n ((n),(k) )))^(1/(n(n+1)))

$\underset{x \to \infty}{l im} \sqrt[n (n + 1)]{\underset{k = 0}{\prod^{n}} (\begin{matrix} n \\ k \end{matrix})}$

Question Number 75319 Answers: 0 Comments: 0

Question Number 75318 Answers: 0 Comments: 6

Question Number 75256 Answers: 0 Comments: 0

if B⊆A,A⋒B′={1,4,5} and A⊔B={1,2,3,4,5,6}, find B.

$i f B \subseteq A, A ⋒ B^{'} = {1, 4, 5} a n d A ⊔ B = {1, 2, 3, 4, 5, 6}, f i n d B .$

Question Number 75242 Answers: 2 Comments: 0

Find th greatest coefficients in the expansion of (3a+5b)^(18) 2)If three consecutive coefficient of (1+x)^n are 28,56,70. find the value of n

$F i n d t h g r e a t e s t c o e f f i c i e n t s$ $i n t h e e x p a n s i o n o f$ ${(3 a + 5 b)}^{18}$ $2) I f t h r e e c o n s e c u t i v e$ $c o e f f i c i e n t o f {(1 + x)}^{n} a r e 28, 56, 70 .$ $f i n d t h e v a l u e o f n$

Question Number 75193 Answers: 2 Comments: 0

it is given that cos(π/5)=((1+(√5))/4) calculate the exact value of cos((2π)/5) and cos((3π)/5)

$i t i s g i v e n t h a t c o s \frac{π}{5} = \frac{1 + \sqrt{5}}{4}$ $c a l c u l a t e t h e e x a c t v a l ue o f$ $c o s \frac{2 π}{5} a n d c o s \frac{3 π}{5}$

Question Number 75178 Answers: 1 Comments: 0

givn that z = 1−i(√3) express z in the form z = r(cosθ + isinθ), hence express z^7 in the form re^(iθ)

$g i v n t h a t z = 1 - i \sqrt{3} e x p r e s s z i n t h e f o r m$ $z = r (c o s θ + i s i n θ), h e n c e e x p r e s s$ $z^{7} i n t h e f o r m {r e}^{i θ}$

Question Number 75083 Answers: 1 Comments: 0

A function f is given by f(x) = { ((x^2 −3, 0≤x<2)),((4x−7, 2≤x<4)) :} is such that f(x) = f(x + 4) find f(27) and f(−106).

$A f u n c t i o n f i s g i v e n b y$ $f (x) = {\begin{cases} x^{2} - 3, 0 ⩽ x < 2 \\ 4 x - 7, 2 ⩽ x < 4 \end{cases}$ $i s s u c h t h a t f (x) = f (x + 4)$ $f i n d f (27) a n d f (- 106) .$

Question Number 74914 Answers: 1 Comments: 0

Can someone solve this question plz? solve the contour integral ∫_C (e^(iz) /z^3 ) dz where C is the circle ∣z∣=2

$C a n s o m e o n e s o l v e t h i s q u e s t i o n p l z ?$ $s o l v e t h e c o n t o u r i n t e g r a l$ $\int_{C} \frac{e^{i z}}{z^{3}} d z w h e r e C i s t h e c i r c l e ∣ z ∣= 2$

Question Number 74790 Answers: 0 Comments: 0

4x^4 +12x3+25x2t+24x+16 find the square root

$4 x^{4} + 12 x 3 + 25 x 2 t + 24 x + 16 f i n d t h e s q u a r e r o o t$

Question Number 74688 Answers: 0 Comments: 0

y = f(x) Can we tranform this into a real life problem and solve with several condition.

$y = f (x)$ $Can we tranform this into a real life problem and solve with$ $several condition .$

Question Number 74655 Answers: 1 Comments: 1

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Question Number 74632 Answers: 0 Comments: 1

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Question Number 74570 Answers: 1 Comments: 0

lim_(n→∞) (1/((n)^(1/n) )) = ?

${l i m}_{n \to \infty} \frac{1}{{(n)}^{\frac{1}{n}}} = ?$

Question Number 74513 Answers: 1 Comments: 1

find f(x)=∫_0 ^π (dθ/(x^2 −2xsin(2θ)+1)) (x real)

$f i n d f (x) = \int_{0}^{π} \frac{d θ}{x^{2} - 2 x s i n (2 θ) + 1} (x r e a l)$

Question Number 74526 Answers: 1 Comments: 0

prove that (1/2)tan^(−1) x=cos^(−1) ((√((1+(√(1+x^2 )))/(2(√(1+x^2 )))))) using substitution x=cos 2θ

$p r o v e t h a t$ $\frac{1}{2} {t a n}^{- 1} x = {c o s}^{- 1} (\sqrt{\frac{1 + \sqrt{1 + x^{2}}}{2 \sqrt{1 + x^{2}}}})$ $u s i n g s u b s t i t u t i o n x = c o s 2 θ$

Question Number 74502 Answers: 1 Comments: 4

let f(x)=e^(−nx) ln(1+x^2 ) 1)determine f^((n)) (x) and f^((n)) (0) 2)developp f at integr serie (n integr natural)

$l e t f (x) = e^{- n x} l n (1 + x^{2})$ $1) d e t e r m i n e f^{(n)} (x) a n d f^{(n)} (0)$ $2) d e v e l o p p f a t i n t e g r s e r i e (n i n t e g r n a t u r a l)$

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