Algebra – Page 689

Find-the-max-and-min-of-function-a-bsin-x-b-asin-x-where-b-gt-a-gt-0-in-the-interval-0-x-2pi-sketch-a-4-and-b-5-

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Question Number 88040 by peter frank last updated on 08/Apr/20 $F i n d t h e m a x a n d m i n$ $o f f u n c t i o n$ $\frac{a + b \sin x}{b + a \sin x}$ $w h e r e b > a > 0 i n t h e$ $i n t e r v a l 0 ⩽ x ⩽ 2 π . s k e t c h$ $a = 4 a n d b = 5$ Commented by…

Obtain-the-first-four-term-of-the-expansion-4-x-1-3-when-1-x-lt-1-ii-x-gt-1-

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Question Number 88039 by peter frank last updated on 08/Apr/20 $O b t a i n t h e f i r s t f o u r$ $t e r m o f t h e e x p a n s i o n$ ${(4 - x)}^{\frac{1}{3}} w h e n$ $(1) ∣ x ∣< 1$ $(i i) ∣ x ∣> 1$ Answered by Rio…

If-a-bx-2-1-4-3x-then-a-b-

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Question Number 22503 by Tinkutara last updated on 19/Oct/17 $If {(a + b x)}^{- 2} = \frac{1}{4} - 3 x + \dots, then (a, b) =$ Commented by mrW1 last updated on 19/Oct/17 $$\left(\mathrm{a}+\mathrm{bx}\right)^{−\mathrm{2}} =\mathrm{a}^{−\mathrm{2}} \left(\mathrm{1}+\frac{\mathrm{bx}}{\mathrm{a}}\right)^{−\mathrm{2}} =\mathrm{a}^{−\mathrm{2}} \left[\mathrm{1}−\mathrm{2}×\frac{\mathrm{bx}}{\mathrm{a}}+…\right]…

Find-lim-n-n-pi-2-4-a-n-2-where-a-n-k-1-n-arctan-1-k-2-k-1-

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Question Number 153571 by mathdanisur last updated on 08/Sep/21 $Find \underset{n \to \infty}{\lim n} \cdot (\frac{π^{2}}{4} - a_{n}^{2}) = ?$ $where a_{n} = \underset{k = 1}{\sum^{n}} \arctan (\frac{1}{k^{2} - k + 1})$ Answered by mnjuly1970…

The-coefficient-of-x-r-in-the-expansion-of-1-2x-1-2-is-1-2r-r-2-2-2r-2-r-r-2-3-2r-r-2-2-2r-4-2r-2-r-r-1-r-1-

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Question Number 22491 by Tinkutara last updated on 19/Oct/17 $The coefficient of x^{r} in the expansion of$ ${(1 - 2 x)}^{- 1 / 2} is$ $(1) \frac{(2 r)!}{{(r!)}^{2}}$ $(2) \frac{(2 r)!}{2^{r} {(r!)}^{2}}$ $$\left(\mathrm{3}\right)\:\frac{\left(\mathrm{2}{r}\right)!}{\left({r}!\right)^{\mathrm{2}} \:\mathrm{2}^{\mathrm{2}{r}} }…

If-there-is-no-second-s-hand-on-a-clock-and-the-minute-and-hour-hand-move-in-continuous-fashion-then-exactly-at-what-time-between-02-10-and-02-15-does-the-position-of-the-two-hands-exactly-coincide-

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Question Number 88014 by ajfour last updated on 07/Apr/20 $I f t h e r e i s n o {s e c o n d}^{'} s h a n d o n$ $a c l o c k a n d t h e m i n u t e a n d h o u r$ $h a n d m o v e i n c o n t i n u o u s f a s h i o n,$ $t h e n e x a c t l y a t w h a t t i m e b e t w e e n$ $02 : 10 a n d 02 : 15 d o e s t h e p o s i t i o n$ $o f t h e t w o h a n d s e x a c t l y c o i n c i d e ?$ Answered by mr…

Let-R-5-5-11-2n-1-and-f-R-R-then-prove-that-Rf-4-2n-1-

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Question Number 22474 by Tinkutara last updated on 19/Oct/17 $Let R = {(5 \sqrt{5} + 11)}^{2 n + 1} and f = R - [R],$ $then prove that R f = 4^{2 n + 1} .$ Terms of Service Privacy Policy Contact: info@tinkutara.com

If-x-x-y-y-z-z-x-y-y-z-z-x-x-z-y-x-z-y-such-that-x-y-and-z-are-positive-integers-greater-than-1-then-which-of-the-following-cannot-be-true-for-any-of-the-possible-value-of-x-y-and-z-

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Question Number 22472 by Tinkutara last updated on 18/Oct/17 $If x^{x} \cdot y^{y} \cdot z^{z} = x^{y} \cdot y^{z} \cdot z^{x} = x^{z} \cdot y^{x} \cdot z^{y} such$ $that x, y and z are positive integers$ $greater than 1, then which of the$ $$\mathrm{following}\:\mathrm{cannot}\:\mathrm{be}\:\mathrm{true}\:\mathrm{for}\:\mathrm{any}\:\mathrm{of}\:\mathrm{the}…

If-a-r-is-the-coefficient-of-x-r-in-the-expansion-1-x-x-2-n-then-a-1-2a-2-3a-3-2na-2n-

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Question Number 22468 by Tinkutara last updated on 18/Oct/17 $If a_{r} is the coefficient of x^{r} in the$ $expansion {(1 + x + x^{2})}^{n}, then$ $a_{1} - 2 a_{2} + 3 a_{3} - \dots \dots . 2 {n a}_{2 n} =$ Terms…

Solve-for-real-x-1-x-1-2x-x-1-3-where-x-is-the-greatest-integer-less-than-or-equal-to-x-and-x-x-x-e-g-3-4-3-and-3-4-0-4-

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Question Number 22463 by Tinkutara last updated on 18/Oct/17 $Solve for real x :$ $\frac{1}{[x]} + \frac{1}{[2 x]} = (x) + \frac{1}{3},$ $where [x] is the greatest integer less$ $than or equal to x and (x) = x - [x],$ $[e . g . [3.4] = 3 and (3.4) = 0.4] .$ Answered by ajfour last updated…

Category: Algebra