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AlgebraQuestion and Answers: Page 325

Question Number 34139 Answers: 2 Comments: 0

What is the remainder when 17^(200) is divided by 18

$W h a t i s t h e r e m a i n d e r w h e n$ $17^{200} i s d i v i d e d b y 18$

Question Number 34081 Answers: 1 Comments: 0

2^n −2^(n−1) =4 .find n^(n.)

$2^{n} - 2^{n - 1} = 4 . f i n d n^{n .}$

Question Number 34056 Answers: 2 Comments: 3

x^(3z) =1 x^2 =y z=y^n FIND THE VALUE OF n please i need your help ASAP. thanks

$x^{3 z} = 1$ $x^{2} = y$ $z = y^{n}$ $F I N D T H E V A L U E O F n$ $p l e a s e i n e e d y o u r h e l p A S A P . t h a n k s$

Question Number 34044 Answers: 2 Comments: 2

what is the remainder when (111..)+(222..)+(333..)+....+(77..) is divided by 37

$w h a t i s t h e r e m a i n d e r w h e n$ $(111 . .) + (222 . .) + (333 . .) + . . . . + (77 . .)$ $i s d i v i d e d b y 37$

Question Number 34020 Answers: 0 Comments: 1

let p(x)=cos(2n arccos(x)) with x∈[−1,1] find the roots of p(x) and factorize p(x)

$l e t p (x) = c o s (2 n a r c c o s (x)) w i t h x \in [- 1, 1]$ $f i n d t h e r o o t s o f p (x) a n d f a c t o r i z e p (x)$

Question Number 34019 Answers: 0 Comments: 4

n integr decompose imsidr R[x] the fraction F(x) = (1/((x^2 −1)^n ))

$n i n t e g r d e c o m p o s e i m s i d r R [x] t h e f r a c t i o n$ $F (x) = \frac{1}{{(x^{2} - 1)}^{n}}$

Question Number 33988 Answers: 1 Comments: 0

give the algebric form of (1+i)^i .

$g i v e t h e a l g e b r i c f o r m o f {(1 + i)}^{i} .$

Question Number 33982 Answers: 0 Comments: 0

decompose inside R[x] the fraction F(x) = (1/(x^n (x+1)^2 )) with n integr .

$d e c o m p o s e i n s i d e R [x] t h e f r a c t i o n$ $F (x) = \frac{1}{x^{n} {(x + 1)}^{2}} w i t h n i n t e g r .$

Question Number 33880 Answers: 1 Comments: 1

Question Number 33843 Answers: 0 Comments: 2

decompose inside R(x) the fraction F(x)= (1/((x+3)^n (x+1))) with n integr .

$d e c o m p o s e i n s i d e R (x) t h e f r a c t i o n$ $F (x) = \frac{1}{{(x + 3)}^{n} (x + 1)} w i t h n i n t e g r .$

Question Number 33838 Answers: 1 Comments: 0

Find the values of k if ((x^2 +3x−4)/(5x−k)) may be capable of taking on all values when x is real.

$F i n d t h e v a l u e s o f k i f \frac{x^{2} + 3 x - 4}{5 x - k}$ $m a y b e c a p a b l e o f t a k i n g o n a l l$ $v a l u e s w h e n x i s r e a l .$

Question Number 33837 Answers: 2 Comments: 0

find y if ∣((y−3)/(y+1))∣<2 i mean modulus by ∣

$f i n d y i f ∣ \frac{y - 3}{y + 1} ∣< 2$ $i m e a n m o d u l u s b y ∣$

Question Number 33836 Answers: 2 Comments: 0

for what values of x if ((x(x−1))/(2x+3))>0

$f o r w h a t v a l u e s o f x i f$ $\frac{x (x - 1)}{2 x + 3} > 0$

Question Number 33834 Answers: 0 Comments: 0

P(x)=x^n +a_(n−1) x^(n−1) +.... a_1 x+a_0 be a polynomial with all the real roots, prove that (n−1)a_(n−1) ^2 ≥ 2na_(n−2) .

$P (x) = x^{n} + a_{n - 1} x^{n - 1} + . . . . a_{1} x + a_{0} b e a p o l y n o m i a l w i t h a l l t h e r e a l r o o t s,$ $p r o v e t h a t (n - 1) a_{n - 1}^{2} ⩾ 2 {n a}_{n - 2} .$

Question Number 33876 Answers: 0 Comments: 2

how can i write out 6 to thethird power divided by 2 to the fourth power pleasr help me write out this equation

$h o w c a n i w r i t e o u t 6 t o t h e t h i r d p o w e r d i v i d e d b y 2 t o t h e f o u r t h p o w e r p l e a s r h e l p m e w r i t e o u t t h i s e q u a t i o n$

Question Number 33805 Answers: 1 Comments: 0

The perimeter of a square and a rectangle is the same. The width of the rectangle is 6 cm and its area is 16 cm^2 less than the area of the square. Find the area of the square.

$The perimeter of a square and a rectangle is the$ $same . The width of the rectangle is 6 cm and its area$ $is 16 {cm}^{2} less than the area of the square . Find the$ $area of the square .$

Question Number 33783 Answers: 1 Comments: 0

Two commodities X and Y cost $70.00 and $80.00 per kg respectively. If 34.5 kg of X is mixed with 26kg of Y and the mixture is sold at $85.00 per kg, calculate the percentage profit.

$Two commodities X and Y cost $ 70.00 and $ 80.00$ $per kg respectively . If 34.5 kg of X is mixed with$ $26 kg of Y and the mixture is sold at $ 85.00 per kg,$ $calculate the percentage profit .$

Question Number 33743 Answers: 0 Comments: 1

let p(x)=(1+x^2 )(1+x^4 )....(1+x^2^n ) with n integr 1) find the roots of p(x) 2) factorize p(x) inside C[x]

$l e t p (x) = (1 + x^{2}) (1 + x^{4}) . . . . (1 + x^{2^{n}}) w i t h n i n t e g r$ $1) f i n d t h e r o o t s o f p (x)$ $2) f a c t o r i z e p (x) i n s i d e C [x]$

Question Number 33702 Answers: 0 Comments: 1

let p(x) =a_0 +a_1 x +a_2 x^2 +...a_n x^n prove that a_k = ((p^((k)) (0))/(k!)) ∀ k ∈[[0,n]] .

$l e t p (x) = a_{0} + a_{1} x + a_{2} x^{2} + . . . a_{n} x^{n}$ $p r o v e t h a t a_{k} = \frac{p^{(k)} (0)}{k!} \forall k \in [[0, n]] .$

Question Number 33569 Answers: 1 Comments: 0

Given f(x) = x^3 + ax^2 + bx + c with a, b, c ∈ R, the roots are x_1 , x_2 , x_3 ∈ R Let λ is an positive integer that satisfied x_2 − x_1 = λ x_3 > (1/2)(x_1 + x_2 ) What is the max value of ((2a^3 + 27c − 9ab)/λ^3 ) ?

$Given f (x) = x^{3} + {a x}^{2} + b x + c$ $with a, b, c \in R, the roots are x_{1}, x_{2}, x_{3} \in R$ $Let λ is an positive integer that satisfied$ $x_{2} - x_{1} = λ$ $x_{3} > \frac{1}{2} (x_{1} + x_{2})$ $What is the \max value of \frac{2 a^{3} + 27 c - 9 a b}{λ^{3}} ?$

Question Number 33518 Answers: 0 Comments: 0

α^4 +β^(4 ) solve please

$α^{4} + β^{4} s o l v e p l e a s e$

Question Number 33515 Answers: 0 Comments: 1

expand α^4 +β^(β ) please

$e x p a n d α^{4} + β^{β} p l e a s e$

Question Number 33496 Answers: 1 Comments: 0

prove that e^(iπ) +1=0

$prove that$ $e^{i π} + 1 = 0$

Question Number 33473 Answers: 1 Comments: 3

e^(iπ ) = −1 squaring both sides e^(2πi) = 1 = e^0 comparing powers 2πi = 0 π = 0 or i = 0 ???

$e^{i π} = - 1$ $s q u a r i n g b o t h s i d e s$ $e^{2 π i} = 1 = e^{0}$ $c o m p a r i n g p o w e r s$ $2 π i = 0$ $π = 0 o r i = 0 ? ? ?$

Question Number 33468 Answers: 1 Comments: 0

The set of integers that satisfies 5>∣n−2∣≥∣n+1∣ is

$T h e s e t o f i n t e g e r s t h a t s a t i s f i e s$ $5 >∣ n - 2 ∣⩾∣ n + 1 ∣ i s$

Question Number 33307 Answers: 0 Comments: 0

let z=x+iy with x≠0 prove?that ∣ ((e^z −1)/z) ∣≤∣ ((e^x −1)/x) ∣

$l e t z = x + i y w i t h x \neq 0 p r o v e ? t h a t$ $∣ \frac{e^{z} - 1}{z} ∣⩽∣ \frac{e^{x} - 1}{x} ∣$

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