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Question Number 185663 Answers: 0 Comments: 0

Question Number 185659 Answers: 1 Comments: 1

prove for r, n ∈ N Σ_(k=r) ^n ((k),(r) ) = (((n+1)),((r+1)) ) (Hockey−stick identity)

$${prove}\:{for}\:{r},\:{n}\:\in\:\mathbb{N} \\ $$$$\underset{{k}={r}} {\overset{{n}} {\sum}}\begin{pmatrix}{{k}}\\{{r}}\end{pmatrix}\:=\begin{pmatrix}{{n}+\mathrm{1}}\\{{r}+\mathrm{1}}\end{pmatrix} \\ $$$$\left({Hockey}−{stick}\:{identity}\right) \\ $$

Question Number 185647 Answers: 1 Comments: 0

Question Number 185637 Answers: 1 Comments: 0

Question Number 185642 Answers: 1 Comments: 1

Question Number 185640 Answers: 2 Comments: 0

Question Number 185619 Answers: 1 Comments: 1

Question Number 185719 Answers: 1 Comments: 2

Find the next number: a_0 =a_1 =1, a_2 =2 a_3 =?

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{next}\:\mathrm{number}: \\ $$$${a}_{\mathrm{0}} ={a}_{\mathrm{1}} =\mathrm{1},\:{a}_{\mathrm{2}} =\mathrm{2} \\ $$$${a}_{\mathrm{3}} =? \\ $$

Question Number 185602 Answers: 2 Comments: 0

Question Number 185601 Answers: 0 Comments: 0

Hello please I experienced a little difficulty with this question. A charge Qa =−20mC is located at (−6 4 7) and a charge Qb=50mC at (5 8 −2). If distances are given in meters find (a)R^− ab (b)Rab (c) The vector force exerted on Qa by Qb if ε_0 =10^(−9) /36⊼ F╱m

$${Hello}\:{please}\:{I}\:{experienced}\:{a}\:{little} \\ $$$$\:{difficulty}\:{with}\:{this}\:{question}.\: \\ $$$$ \\ $$$${A}\:{charge}\:{Qa}\:=−\mathrm{20}{mC}\:\:{is}\:{located}\:{at}\:\left(−\mathrm{6}\:\mathrm{4}\:\mathrm{7}\right)\:{and}\: \\ $$$${a}\:{charge}\:{Qb}=\mathrm{50}{mC}\:{at}\:\left(\mathrm{5}\:\mathrm{8}\:−\mathrm{2}\right).\: \\ $$$$\mathrm{I}{f}\:{distances}\:{are}\:{given}\:{in}\:{meters}\: \\ $$$${find}\:\left({a}\right)\overset{−} {{R}ab}\:\left({b}\right){Rab} \\ $$$$\:\left({c}\right)\:{The}\:{vector}\:{force}\:{exerted}\:{on}\: \\ $$$${Qa}\:{by}\:{Qb}\:\:{if}\:\:\varepsilon_{\mathrm{0}} =\mathrm{10}^{−\mathrm{9}} /\mathrm{36}\barwedge\:{F}\diagup{m} \\ $$

Question Number 185599 Answers: 4 Comments: 3

x!=x^3 −x faind x=?

$${x}!={x}^{\mathrm{3}} −{x}\:\:\:\:\:\:\:\:\:\:{faind}\:{x}=? \\ $$

Question Number 185598 Answers: 0 Comments: 0

Question Number 185597 Answers: 0 Comments: 0

Question Number 185596 Answers: 0 Comments: 1

Question Number 185625 Answers: 1 Comments: 0

De^ terminer a, b et c trois termes conse^ quences d′une suite ge^ ometrique tels que: { ((a+b+c=36,75)),((abc=343)) :}

$${D}\acute {{e}terminer}\:{a},\:{b}\:{et}\:{c}\:{trois}\:{termes}\:{cons}\acute {{e}quences} \\ $$$${d}'{une}\:{suite}\:{g}\acute {{e}ometrique}\:{tels}\:{que}: \\ $$$$\begin{cases}{{a}+{b}+{c}=\mathrm{36},\mathrm{75}}\\{{abc}=\mathrm{343}}\end{cases} \\ $$

Question Number 185624 Answers: 1 Comments: 0

Question Number 185580 Answers: 1 Comments: 0

Question Number 185574 Answers: 0 Comments: 1

f (x )= cos(2πx)+ sin(2πx) +(√( ⌊x⌋ +⌊−x ⌋)) find R_( f) =?

$$ \\ $$$$\:\:\:{f}\:\left({x}\:\right)=\:{cos}\left(\mathrm{2}\pi{x}\right)+\:{sin}\left(\mathrm{2}\pi{x}\right)\:+\sqrt{\:\lfloor{x}\rfloor\:+\lfloor−{x}\:\rfloor} \\ $$$$\:\:\: \\ $$$$\:\:\:\:\:\:{find}\:\:\:\:\:\:\:\:{R}_{\:{f}} \:=? \\ $$

Question Number 185570 Answers: 0 Comments: 0

Question Number 185559 Answers: 0 Comments: 11

Question Number 185558 Answers: 0 Comments: 1

Question Number 185557 Answers: 1 Comments: 5

Question Number 185555 Answers: 3 Comments: 0

Question Number 185553 Answers: 1 Comments: 0

Question Number 185542 Answers: 2 Comments: 0

Question Number 185539 Answers: 1 Comments: 0

lim_(x→0) ((4e^(3x) −9e^(2x) +6x+5)/x^3 )=?

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{4}{e}^{\mathrm{3}{x}} −\mathrm{9}{e}^{\mathrm{2}{x}} +\mathrm{6}{x}+\mathrm{5}}{{x}^{\mathrm{3}} }=? \\ $$

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