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AllQuestion and Answers: Page 314

Question Number 184477 Answers: 3 Comments: 2

Question Number 184475 Answers: 1 Comments: 0

If A = 20° and B = 25° Find (1 + tanA)(1 + tanB)

$If A = 20 ° and B = 25 °$ $Find (1 + tanA) (1 + tanB)$

Question Number 184473 Answers: 1 Comments: 0

Choose 4 random points in a sphere to form a tetrahedron inside the sphere. What is the probability that this tetrahedron contain the centre point of the sphere?

Question Number 184472 Answers: 4 Comments: 0

solve in R^3 { ((x+(1/y)=3)),((y+(1/z)=4)),((z+(1/x)=5)) :}

$s o l v e i n R^{3}$ ${\begin{cases} x + \frac{1}{y} = 3 \\ y + \frac{1}{z} = 4 \\ z + \frac{1}{x} = 5 \end{cases}$

Question Number 184470 Answers: 1 Comments: 0

∫_0 ^1 ((lnx)/((1+x)^2 ))dx

$\int_{0}^{1} \frac{l n x}{{(1 + x)}^{2}} d x$

Question Number 184454 Answers: 0 Comments: 1

Question Number 184441 Answers: 2 Comments: 1

Question Number 184438 Answers: 3 Comments: 0

If a − (4/( (√a))) = 17 Find a − 4 (√a) = ?

$If a - \frac{4}{\sqrt{a}} = 17$ $Find a - 4 \sqrt{a} = ?$

Question Number 184435 Answers: 1 Comments: 0

Question Number 184434 Answers: 2 Comments: 0

(2a−b)b+(5/(3a))−7b^2 +3a=0 Evaluer b en fonction de a

$(2 a - b) b + \frac{5}{3 a} - 7 b^{2} + 3 a = 0$ $E v a l u e r b e n f o n c t i o n d e a$

Question Number 184431 Answers: 2 Comments: 0

If { ((a+(1/b)=(7/3))),((b+(1/c)=4)),((c+(1/a)=1)) :} find 2022∙abc

$I f {\begin{cases} a + \frac{1}{b} = \frac{7}{3} \\ b + \frac{1}{c} = 4 \\ c + \frac{1}{a} = 1 \end{cases} find 2022 \cdot abc$

Question Number 184424 Answers: 2 Comments: 1

Help please: { ((x+x^(−1) −(√2)=0)),((x^(2017) +x^(2017) +(√2)=?)) :}

$H e l p p l e a s e :$ ${\begin{cases} x + x^{- 1} - \sqrt{2} = 0 \\ x^{2017} + x^{2017} + \sqrt{2} = ? \end{cases}$

Question Number 184401 Answers: 2 Comments: 3

U_n = ((((−4)^(n+1) −1)/(1−(−4)^n )))U_(n−1) with U_0 =1 find U_(n ) in terms of n (question Q173132 reposted)

$U_{n} = (\frac{{(- 4)}^{n + 1} - 1}{1 - {(- 4)}^{n}}) U_{n - 1} w i t h U_{0} = 1$ $f i n d U_{n} i n t e r m s o f n$ $(q u e s t i o n Q 173132 r e p o s t e d)$

Question Number 184399 Answers: 0 Comments: 0

what is the nature of the integral: ∫_0 ^1 (e^(sint) /t^a )dt .αεR

$w h a t i s t h e n a t u r e o f t h e i n t e g r a l :$ $\int_{0}^{1} \frac{e^{s i n t}}{t^{a}} d t . α ϵ R$

Question Number 184398 Answers: 1 Comments: 0

Question Number 184387 Answers: 2 Comments: 1

Question Number 184384 Answers: 0 Comments: 7

Question Number 184383 Answers: 0 Comments: 0

Question Number 184378 Answers: 3 Comments: 0

lim_(x→∞) (−ln((21)/(10)))^(2x) =?

$\lim_{x \to \infty} {(- \ln \frac{21}{10})}^{2 x} = ?$

Question Number 184376 Answers: 1 Comments: 0

2^x =x^2 x=2 x=4 x=−0.76666 ??????????????????? solution please

$2^{x} = x^{2}$ $x = 2$ $x = 4$ $x = - 0.76666$ $? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?$ $solution please$

Question Number 184373 Answers: 0 Comments: 0

Question Number 184370 Answers: 1 Comments: 1

Question Number 184352 Answers: 3 Comments: 0

Question Number 184351 Answers: 5 Comments: 0

f(x)=((a^x +b^x +c^x )/x) with a+b+c=0 prove f(7)=f(5)×f(2)

$f (x) = \frac{a^{x} + b^{x} + c^{x}}{x} w i t h a + b + c = 0$ $p r o v e f (7) = f (5) \times f (2)$

Question Number 184356 Answers: 2 Comments: 0

Question Number 184349 Answers: 1 Comments: 0

I_n = ∫_0 ^( 1) (1−x^2 )^n dx Relate I_n and I_(n−1) Find I_n in terms of n hence deduce that Σ_(k=0) ^n (((−1)^k ((n),(k) ))/(2k+1))=((2^(2n) (n!)^2 )/((2n+1)!))

$I_{n} = \int_{0}^{1} {(1 - x^{2})}^{n} d x$ $R e l a t e I_{n} a n d I_{n - 1}$ $F i n d I_{n} i n t e r m s o f n$ $h e n c e d e d u c e t h a t \underset{k = 0}{\sum^{n}} \frac{{(- 1)}^{k} (\begin{matrix} n \\ k \end{matrix})}{2 k + 1} = \frac{2^{2 n} {(n!)}^{2}}{(2 n + 1)!}$

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