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AlgebraQuestion and Answers: Page 101

Question Number 175490 Answers: 1 Comments: 0

solve f(x)f(y)= f(x+y)+xy f:R⇒R

$s o l v e$ $f (x) f (y) = f (x + y) + x y$ $f : R \Rightarrow R$

Question Number 175487 Answers: 0 Comments: 0

Question Number 175470 Answers: 1 Comments: 0

Question Number 175462 Answers: 1 Comments: 3

p^3 +q^3 +p^2 +q^2 +c^2 =0 find p+q in terms of c. if c^2 <(4/9).

$p^{3} + q^{3} + p^{2} + q^{2} + c^{2} = 0$ $f i n d p + q i n t e r m s o f c . i f c^{2} < \frac{4}{9} .$

Question Number 175521 Answers: 0 Comments: 0

Question Number 175454 Answers: 0 Comments: 0

Question Number 175443 Answers: 1 Comments: 0

solve for x 16^x +20^x = 25^x

$s o l v e f o r x$ $16^{x} + 20^{x} = 25^{x}$

Question Number 175457 Answers: 3 Comments: 0

23+2323+232323+....(n terms)=?

$23 + 2323 + 232323 + . . . . (n t e r m s) = ?$

Question Number 175430 Answers: 0 Comments: 2

Question Number 175458 Answers: 2 Comments: 0

2^m −2^n = 2016 find m and n

$2^{m} - 2^{n} = 2016$ $f i n d m a n d n$

Question Number 175420 Answers: 2 Comments: 0

solve for x 2^x .3^x^2 = 6

$s o l v e f o r x$ $2^{x} . 3^{x^{2}} = 6$

Question Number 175411 Answers: 2 Comments: 3

7+67+667+6667+.....(n terms)=?

$7 + 67 + 667 + 6667 + . . . . . (n t e r m s) = ?$

Question Number 175409 Answers: 0 Comments: 3

exercise Consider a polygon with an odd number 𝗻 of vertices. We connect any 3 vertices of this polygon to form a triangle. What is the probability that this triangle contains the center of the circle circumscribing the polygon?

$exercise$ Consider a polygon with an odd number 𝗻 of vertices. We connect any 3 vertices of this polygon to form a triangle. What is the probability that this triangle contains the center of the circle circumscribing the polygon?

Question Number 175407 Answers: 2 Comments: 0

Trouver la somme de S_n Si S_n =1+11+111+...+1111...111

$\underset{―}{Trouver la somme de S_{n}}$ $Si S_{n} = 1 + 11 + 111 + . . . + 1111 . . . 111$

Question Number 175402 Answers: 0 Comments: 1

solve for x x_(n+1) =rx_n (1−x_n )

$s o l v e f o r x$ $x_{n + 1} = {r x}_{n} (1 - x_{n})$

Question Number 175399 Answers: 0 Comments: 3

if (x+1)^4 (√4)=x+1 find x

$i f {(x + 1)}^{4} \sqrt{4} = x + 1 f i n d x$

Question Number 175396 Answers: 2 Comments: 0

Question Number 175393 Answers: 0 Comments: 0

if (x+1)_(√4) ^4 =x+1 find x

$i f {(x + 1)}_{\sqrt{4}}^{4} = x + 1 f i n d x$

Question Number 175375 Answers: 1 Comments: 0

Question Number 175374 Answers: 0 Comments: 0

lim_(n→∞) (Σ_(j=1) ^n Σ_(i = 1) ^n ((i+j)/(i^2 +j^2 ))−((π/2)+ ln 2)n + ln n) = ?

$\lim_{n \to \infty} (\underset{j = 1}{\sum^{n}} \underset{i = 1}{\sum^{n}} \frac{i + j}{i^{2} + j^{2}} - (\frac{π}{2} + \ln 2) n + \ln n) = ?$

Question Number 175373 Answers: 4 Comments: 0

if x^6 + y^6 = 9 x^4 + y^4 = 5 then x^2 +y^2 =?

$if x^{6} + y^{6} = 9$ $x^{4} + y^{4} = 5$ $then x^{2} + y^{2} = ?$

Question Number 175333 Answers: 1 Comments: 0

solve (x ∈ R ). ⌊ (( 2^( x) +1)/3) ⌋ + ⌊ 4^( (x/2)) ⌋ = 4 −−−−−−

$s o l v e (x \in R) .$ $⌊ \frac{2^{x} + 1}{3} ⌋ + ⌊ 4^{\frac{x}{2}} ⌋ = 4$ $- - - - - -$

Question Number 181489 Answers: 1 Comments: 0

a and b are mutuallly prime numbers If (3/8) < (a/b) < (2/5) Find (b−a)_(min)

$a and b are mutuallly prime numbers$ $If \frac{3}{8} < \frac{a}{b} < \frac{2}{5}$ $Find {(b - a)}_{\min}$

Question Number 175284 Answers: 1 Comments: 0

Question Number 175277 Answers: 0 Comments: 0

Question Number 181521 Answers: 2 Comments: 0

Find the range of x such that { ((sinx>0)),(((√3)sinx+cosx>0)),((0<x<2π)) :}

$Find the range of x such that$ ${\begin{cases} \sin x > 0 \\ \sqrt{3} \sin x + \cos x > 0 \\ 0 < x < 2 π \end{cases}$

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