Question and Answers Forum

All Questions Topic List

AllQuestion and Answers: Page 251

Question Number 196309 Answers: 2 Comments: 1

Question Number 196304 Answers: 3 Comments: 0

Question Number 196303 Answers: 2 Comments: 0

Question Number 196302 Answers: 1 Comments: 0

Question Number 196300 Answers: 2 Comments: 0

If → n ∈ N and n ≥ 2 Then → tan ((1/(n − 1)) Σ_(k=2) ^n arctan (1/k)) < (2/5) + (𝛄/(n − 1))

$$\mathrm{If}\:\rightarrow\:\mathrm{n}\:\in\:\mathbb{N}\:\:\:\:\:\mathrm{and}\:\:\:\:\:\mathrm{n}\:\geqslant\:\mathrm{2} \\ $$$$\mathrm{Then}\:\rightarrow\:\mathrm{tan}\:\left(\frac{\mathrm{1}}{\mathrm{n}\:−\:\mathrm{1}}\:\underset{\boldsymbol{\mathrm{k}}=\mathrm{2}} {\overset{\boldsymbol{\mathrm{n}}} {\sum}}\:\mathrm{arctan}\:\frac{\mathrm{1}}{\mathrm{k}}\right)\:<\:\frac{\mathrm{2}}{\mathrm{5}}\:+\:\frac{\boldsymbol{\gamma}}{\mathrm{n}\:−\:\mathrm{1}} \\ $$

Question Number 196299 Answers: 1 Comments: 0

If → y = x ! find → (dy/dx)

$$\mathrm{If}\:\rightarrow\:\mathrm{y}\:=\:\mathrm{x}\:!\:\:\:\:\:\mathrm{find}\:\rightarrow\:\frac{\mathrm{dy}}{\mathrm{dx}} \\ $$

Question Number 196298 Answers: 0 Comments: 0

Q#196258 (please)

$${Q}#\mathrm{196258}\:\left({please}\right) \\ $$

Question Number 196288 Answers: 3 Comments: 1

4^x =(√5^y )=400 ((xy)/(2x+y))=?

$$\mathrm{4}^{{x}} =\sqrt{\mathrm{5}^{{y}} }=\mathrm{400} \\ $$$$\frac{{xy}}{\mathrm{2}{x}+{y}}=? \\ $$

Question Number 196286 Answers: 0 Comments: 0

Question Number 196285 Answers: 0 Comments: 1

problem 196258 (please)

$${problem}\:\mathrm{196258}\:\left({please}\right) \\ $$

Question Number 196277 Answers: 3 Comments: 0

(d^2 /dy^2 ) (sin^3 x) =?

$$\:\:\:\: \\ $$$$ \:\frac{\mathrm{d}^{\mathrm{2}} }{\mathrm{dy}^{\mathrm{2}} }\:\left(\mathrm{sin}\:^{\mathrm{3}} \mathrm{x}\right)\:=?\: \\ $$

Question Number 196276 Answers: 1 Comments: 0

Question Number 196275 Answers: 1 Comments: 0

Question Number 196267 Answers: 1 Comments: 2

if lim_(n→+∞) (1+ (x/(7n)))^(29n) =2023 find x ??

$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$\:\:{if}\:\:\:{lim}_{{n}\rightarrow+\infty} \:\left(\mathrm{1}+\:\frac{{x}}{\mathrm{7}{n}}\right)^{\mathrm{29}{n}} =\mathrm{2023} \\ $$$$\:\:\:\boldsymbol{\mathrm{find}}\:\boldsymbol{{x}}\:?? \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

Question Number 196265 Answers: 2 Comments: 0

Question Number 196261 Answers: 1 Comments: 0

Question Number 196258 Answers: 0 Comments: 4

If(x_m +iy_m )^(2n+1) =1 , such that m∈{1,2,3,....,2n} ∧ x_m ,y_m ∈R p=Σ_(k=1) ^(2020) [((1−x_k +iy_k )/(1+x_k +iy_k ))] , Find ((p/(43)))

$${If}\left({x}_{{m}} +{iy}_{{m}} \right)^{\mathrm{2}{n}+\mathrm{1}} =\mathrm{1}\:,\:{such}\:{that} \\ $$$${m}\in\left\{\mathrm{1},\mathrm{2},\mathrm{3},....,\mathrm{2}{n}\right\}\:\wedge\:{x}_{{m}} ,{y}_{{m}} \in\mathbb{R} \\ $$$${p}=\underset{{k}=\mathrm{1}} {\overset{\mathrm{2020}} {\sum}}\left[\frac{\mathrm{1}−{x}_{{k}} +{iy}_{{k}} }{\mathrm{1}+{x}_{{k}} +{iy}_{{k}} }\right]\:,\:{Find}\:\left(\frac{{p}}{\mathrm{43}}\right) \\ $$

Question Number 196257 Answers: 1 Comments: 0

Question Number 197581 Answers: 1 Comments: 0

find Σ_(n=1) ^k (√n) ?

$${find}\:\underset{{n}=\mathrm{1}} {\overset{{k}} {\sum}}\sqrt{{n}}\:? \\ $$

Question Number 197583 Answers: 1 Comments: 0

{ ((((sin x)/(cos (x+y))) = −((√2)/2))),((((cos y)/(cos (x+y))) = ((√2)/2))) :} find the solution

$$\:\:\begin{cases}{\frac{\mathrm{sin}\:\mathrm{x}}{\mathrm{cos}\:\left(\mathrm{x}+\mathrm{y}\right)}\:=\:−\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}}\\{\frac{\mathrm{cos}\:\mathrm{y}}{\mathrm{cos}\:\left(\mathrm{x}+\mathrm{y}\right)}\:=\:\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}}\end{cases} \\ $$$$\:\:\:\mathrm{find}\:\mathrm{the}\:\mathrm{solution}\: \\ $$

Question Number 197582 Answers: 1 Comments: 0

Question Number 196251 Answers: 2 Comments: 0

Question Number 196249 Answers: 0 Comments: 0

log_a x=30 log_b x=70 log_(ab) x=?

$${log}_{{a}} {x}=\mathrm{30} \\ $$$${log}_{{b}} {x}=\mathrm{70} \\ $$$${log}_{{ab}} {x}=? \\ $$

Question Number 196246 Answers: 1 Comments: 1

Question Number 196242 Answers: 2 Comments: 0

Simplify (((1+cos2θ +isin2θ)/(1+cos2θ −isin2θ)))^(30)

$$\mathrm{Simplify}\:\left(\frac{\mathrm{1}+\mathrm{cos2}\theta\:+\mathrm{isin2}\theta}{\mathrm{1}+\mathrm{cos2}\theta\:−\mathrm{isin2}\theta}\right)^{\mathrm{30}} \\ $$

Question Number 196225 Answers: 2 Comments: 1

Pg 246 Pg 247 Pg 248 Pg 249 Pg 250 Pg 251 Pg 252 Pg 253 Pg 254 Pg 255

Contact: info@tinkutara.com