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Question Number 168303 Answers: 2 Comments: 0

calculate ∫_0 ^1 x(√(1−x^6 ))dx

$c a l c u l a t e \int_{0}^{1} x \sqrt{1 - x^{6}} d x$

Question Number 168297 Answers: 1 Comments: 0

prove that........ cos ((2Π)/7)+cos ((4Π)/7)+cos ((8Π)/7)=−(1/2)

$prove that . . . . . . . .$ $\cos \frac{2 Π}{7} + \cos \frac{4 Π}{7} + \cos \frac{8 Π}{7} = - \frac{1}{2}$

Question Number 168296 Answers: 2 Comments: 0

∫(5x+2)cos(2x)dx=?

$\int (5 x + 2) c o s (2 x) d x = ?$

Question Number 168291 Answers: 2 Comments: 0

∫t^7 sin(t^7 )dt

$\int t^{7} \sin (t^{7}) d t$

Question Number 168280 Answers: 1 Comments: 0

Wath is your favourite formula ???

$W a t h i s y o u r f a v o u r i t e f o r m u l a ? ? ?$

Question Number 168278 Answers: 1 Comments: 2

((log_3 (12))/(log_(36) (3)))−((log_3 (4))/(log_(108) (3))) = x x =

$\frac{{l o g}_{3} (12)}{{l o g}_{36} (3)} - \frac{{l o g}_{3} (4)}{{l o g}_{108} (3)} = x$ $x =$

Question Number 168277 Answers: 0 Comments: 1

Prove that ((sin(((3π)/5)))/(sin(((4π)/5)))) = ((1+(√5))/2)

$Prove that \frac{\sin (\frac{3 π}{5})}{\sin (\frac{4 π}{5})} = \frac{1 + \sqrt{5}}{2}$

Question Number 168276 Answers: 3 Comments: 2

y = (√(x+(√(x+(√x))))) y′ =

$y = \sqrt{x + \sqrt{x + \sqrt{x}}}$ $y^{'} =$

Question Number 168274 Answers: 1 Comments: 0

Question Number 168267 Answers: 1 Comments: 0

Solve this integral : ∫(((√(x+1))−1)/( (√(x+1))+1))

$S o l v e t h i s i n t e g r a l :$ $\int \frac{\sqrt{x + 1} - 1}{\sqrt{x + 1} + 1}$

Question Number 168264 Answers: 1 Comments: 0

Question Number 168259 Answers: 1 Comments: 0

If the odds in favour of an event be (1/3).Find the probability of an occurrence of the event.

$If the odds in favour of an event$ $be \frac{1}{3} . Find the probability of$ $an occurrence of the event .$

Question Number 168256 Answers: 1 Comments: 0

lim_(x→∞) ((n!)/n^n )=?

$\lim_{x \to \infty} \frac{n!}{n^{n}} = ?$

Question Number 168248 Answers: 0 Comments: 1

Question Number 168247 Answers: 2 Comments: 0

Solve for x ((8^x +27^x )/(12^x +18^x ))=(7/6) Mastermind

$S o l v e f o r x$ $\frac{8^{x} + 27^{x}}{12^{x} + 18^{x}} = \frac{7}{6}$ $M a s t e r m i n d$

Question Number 168244 Answers: 3 Comments: 0

Question Number 168233 Answers: 1 Comments: 0

{ ((u_0 = 3 : u_1 = 4)),((u_(n+1) = u_n + 6u_(n−1) )) :} Express u_n in terms of n

${\begin{cases} u_{0} = 3 : u_{1} = 4 \\ u_{n + 1} = u_{n} + 6 u_{n - 1} \end{cases}$ $E x p r e s s u_{n} i n t e r m s o f n$

Question Number 168231 Answers: 0 Comments: 4

∫ x (√(1−x^6 )) dx = ?

$\int x \sqrt{1 - x^{6}} d x = ?$

Question Number 168229 Answers: 1 Comments: 0

Question Number 168225 Answers: 2 Comments: 0

hi ! x ∈ ](π/4) ; (π/3)[ f (x) = (1/(cos x)) primitive of f(x).

$hi!$ $x \in] \frac{π}{4}; \frac{π}{3} [$ $f (x) = \frac{1}{c o s x}$ $primitive of f (x) .$

Question Number 168210 Answers: 1 Comments: 0

Question Number 168209 Answers: 0 Comments: 0

Question Number 168208 Answers: 2 Comments: 1

If (x+yi)^4 =a+bi, show that a^2 +b^2 =(x^2 +y^2 )^4

$I f {(x + y i)}^{4} = a + b i,$ $s h o w t h a t a^{2} + b^{2} = {(x^{2} + y^{2})}^{4}$

Question Number 168206 Answers: 1 Comments: 0

Question Number 168203 Answers: 1 Comments: 0

Question Number 168198 Answers: 0 Comments: 0

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