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AlgebraQuestion and Answers: Page 225

Question Number 121847 Answers: 0 Comments: 0

Question Number 121754 Answers: 2 Comments: 0

Question Number 121720 Answers: 2 Comments: 0

Does this example work that way. f(x)=x^x f′(x)=x^x ∙(lnx+1)

$D o e s t h i s e x a m p l e w o r k t h a t w a y .$ $f (x) = x^{x} f^{'} (x) = x^{x} \cdot (l n x + 1)$

Question Number 121693 Answers: 2 Comments: 2

Question Number 121684 Answers: 0 Comments: 1

θ ∈ [0;2π]. solve in C this equation: z^2 −(2^(θ+1) cosθ)z+2^(2θ) =0

$θ \in [0; 2 π] .$ $s o l v e i n C t h i s e q u a t i o n :$ $z^{2} - (2^{θ + 1} c o s θ) z + 2^{2 θ} = 0$

Question Number 121657 Answers: 0 Comments: 2

Determinate the module and the argument of the complex number z=((1−cosθ+itanθ)/(1+cosθ−isinθ)) with π<θ<2π

$Determinate the module$ $and the argument of the$ $complex number$ $z = \frac{1 - \cos θ + itan θ}{1 + \cos θ - isin θ}$ $with π < θ < 2 π$

Question Number 121631 Answers: 0 Comments: 1

Question Number 121590 Answers: 1 Comments: 0

x^2 +2x=8(√6) 2x−((12)/x)=?

$x^{2} + 2 x = 8 \sqrt{6}$ $2 x - \frac{12}{x} = ?$

Question Number 121552 Answers: 0 Comments: 5

Question Number 121538 Answers: 1 Comments: 0

Question Number 121449 Answers: 3 Comments: 1

{ ((x+y=3)),((x^5 +y^5 =33)) :}

${\begin{cases} x + y = 3 \\ x^{5} + y^{5} = 33 \end{cases}$

Question Number 121446 Answers: 3 Comments: 0

Question Number 121444 Answers: 0 Comments: 3

6^x^2 +81.4^x ≤ 4^x .3^x^2 + 81.2^x^2

$6^{x^{2}} + 81 . 4^{x} ⩽ 4^{x} . 3^{x^{2}} + 81 . 2^{x^{2}}$

Question Number 121442 Answers: 2 Comments: 0

Question Number 121429 Answers: 0 Comments: 1

Question Number 121423 Answers: 2 Comments: 0

x^4 −2(√2)x^2 −x+2−(√2)=0 x=?

$x^{4} - 2 \sqrt{2} x^{2} - x + 2 - \sqrt{2} = 0 x = ?$

Question Number 121359 Answers: 0 Comments: 0

Find all n∈N such that (n+3)^n = Σ_(k=3) ^(n+2) k^n

$Find all n \in N such that {(n + 3)}^{n} = \underset{k = 3}{\sum^{n + 2}} k^{n}$

Question Number 121257 Answers: 2 Comments: 4

If today is June 17,2009 and George was born on November 25, 1967. How old is George?

$If today is June 17, 2009 and George$ $was born on November 25, 1967 .$ $How old is George ?$

Question Number 121246 Answers: 2 Comments: 0

Σ_(k=1) ^(49) (1/( (√(k+(√(k^2 −1)))))) ?

$\underset{k = 1}{\sum^{49}} \frac{1}{\sqrt{k + \sqrt{k^{2} - 1}}} ?$

Question Number 121199 Answers: 0 Comments: 0

Question Number 121170 Answers: 0 Comments: 0

(a;b;c)∈∀ a^a ∙ b^b ∙ c^c ≥(abc)^((a+b+c)/3)

$(a; b; c) \in \forall$ $a^{a} \cdot b^{b} \cdot c^{c} ⩾ {(a b c)}^{\frac{a + b + c}{3}}$

Question Number 121136 Answers: 2 Comments: 1

Question Number 121127 Answers: 3 Comments: 0

(√(3+2i))=?

$\sqrt{3 + 2 i} = ?$

Question Number 121099 Answers: 1 Comments: 0

Let α be a root of x^5 −x^3 +x−2=0 Then prove that [α^6 ]=3 where[λ] denotes greatest integer less than or equal λ

$L e t α b e a r o o t o f x^{5} - x^{3} + x - 2 = 0$ $T h e n p r o v e t h a t [α^{6}] = 3 w h e r e [λ] d e n o t e s g r e a t e s t i n t e g e r$ $l e s s t h a n o r e q u a l λ$

Question Number 121041 Answers: 1 Comments: 0

Σ_(k=1) ^n (−1)^k .k =?

$\sum_{k = 1}^{n} {(- 1)}^{k} . k = ?$

Question Number 120993 Answers: 0 Comments: 0

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