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Question Number 177205 Answers: 1 Comments: 0

Question Number 177194 Answers: 1 Comments: 0

∫ (dx/((sin x)^((14)/9) (cos x)^(4/9) ))

$$\int\:\:\frac{\mathrm{dx}}{\left(\mathrm{sin}\:\mathrm{x}\right)^{\frac{\mathrm{14}}{\mathrm{9}}} \left(\mathrm{cos}\:\mathrm{x}\right)^{\frac{\mathrm{4}}{\mathrm{9}}} } \\ $$

Question Number 177193 Answers: 2 Comments: 0

∫ (x^(2021) /(x^(2022) +x^(4043) ))dx

$$\int\:\:\:\frac{\mathrm{x}^{\mathrm{2021}} }{\mathrm{x}^{\mathrm{2022}} +\mathrm{x}^{\mathrm{4043}} }\mathrm{dx} \\ $$

Question Number 177173 Answers: 1 Comments: 0

Question Number 177179 Answers: 1 Comments: 1

If a number is 20% more the other, how much percent is the second number less than the first. please help!

$$\mathrm{If}\:\mathrm{a}\:\mathrm{number}\:\mathrm{is}\:\mathrm{20\%}\:\mathrm{more}\:\mathrm{the}\:\mathrm{other},\:\mathrm{how} \\ $$$$\mathrm{much}\:\mathrm{percent}\:\mathrm{is}\:\mathrm{the}\:\mathrm{second}\:\mathrm{number} \\ $$$$\mathrm{less}\:\mathrm{than}\:\mathrm{the}\:\mathrm{first}. \\ $$$$ \\ $$$$\mathrm{please}\:\mathrm{help}! \\ $$

Question Number 177176 Answers: 5 Comments: 0

solve (√(25−x^3 ))+(√(144−x^3 ))=13

$${solve} \\ $$$$\sqrt{\mathrm{25}−{x}^{\mathrm{3}} }+\sqrt{\mathrm{144}−{x}^{\mathrm{3}} }=\mathrm{13} \\ $$

Question Number 177309 Answers: 1 Comments: 1

How many 3 digited numbers which are divisible by 1)3 2)4 3)5 4)6 5)7 6)8 7)9 with repetetion of digits is NOT allowed...one problem process

$${How}\:{many}\:\mathrm{3}\:{digited}\:{numbers}\: \\ $$$$\left.{which}\:{are}\:{divisible}\:{by}\:\mathrm{1}\right)\mathrm{3} \\ $$$$\left.\mathrm{2}\left.\right)\left.\mathrm{4}\left.\:\left.\:\left.\:\:\mathrm{3}\right)\mathrm{5}\:\:\:\:\mathrm{4}\right)\mathrm{6}\:\:\:\mathrm{5}\right)\mathrm{7}\:\:\:\:\mathrm{6}\right)\mathrm{8}\:\:\mathrm{7}\right)\mathrm{9} \\ $$$${with}\:{repetetion}\:{of}\:{digits}\:{is} \\ $$$${NOT}\:{allowed}...{one}\:{problem}\:{process} \\ $$

Question Number 177152 Answers: 1 Comments: 0

Question Number 177146 Answers: 2 Comments: 0

f(x)=f(x−1)+x^2 +2x f(6)=33 faind volue of f(50)=?

$${f}\left({x}\right)={f}\left({x}−\mathrm{1}\right)+{x}^{\mathrm{2}} +\mathrm{2}{x} \\ $$$${f}\left(\mathrm{6}\right)=\mathrm{33}\:\:{faind}\:{volue}\:{of}\:\:{f}\left(\mathrm{50}\right)=? \\ $$

Question Number 177144 Answers: 1 Comments: 0

Calculas: ((1^2 + 2^2 + 3^2 + ... + 16^2 − 16)/(1∙3 + 2∙4 + 3∙5 + ... + 15∙17))

$$\mathrm{Calculas}: \\ $$$$\frac{\mathrm{1}^{\mathrm{2}} \:+\:\mathrm{2}^{\mathrm{2}} \:+\:\mathrm{3}^{\mathrm{2}} \:+\:...\:+\:\mathrm{16}^{\mathrm{2}} \:−\:\mathrm{16}}{\mathrm{1}\centerdot\mathrm{3}\:+\:\mathrm{2}\centerdot\mathrm{4}\:+\:\mathrm{3}\centerdot\mathrm{5}\:+\:...\:+\:\mathrm{15}\centerdot\mathrm{17}} \\ $$

Question Number 177134 Answers: 1 Comments: 0

I=∫ln(1+2e^(−2x) )dx=?

$$\mathrm{I}=\int\mathrm{ln}\left(\mathrm{1}+\mathrm{2e}^{−\mathrm{2x}} \right)\mathrm{dx}=? \\ $$

Question Number 177133 Answers: 2 Comments: 0

f(x) = x^(2022) . Find derivative f^((n)) .

$$\:\:{f}\left({x}\right)\:=\:{x}^{\mathrm{2022}} \:.\:{Find}\:\:{derivative}\:{f}^{\left({n}\right)} . \\ $$

Question Number 177132 Answers: 0 Comments: 3

Question Number 177131 Answers: 0 Comments: 1

Question Number 177130 Answers: 2 Comments: 4

if x^2 +xy+y^2 =5, find the minimum and maximum of x^2 −xy+y^2 .

$${if}\:{x}^{\mathrm{2}} +{xy}+{y}^{\mathrm{2}} =\mathrm{5},\:{find}\:{the}\:{minimum} \\ $$$${and}\:{maximum}\:{of}\:{x}^{\mathrm{2}} −{xy}+{y}^{\mathrm{2}} . \\ $$

Question Number 177128 Answers: 3 Comments: 1

Question Number 177113 Answers: 0 Comments: 9

X and Y are playing a game. Initially there are three bundles of matches, consisting of 2021, 2022 and 2023 pieces. Each player in his turn chooses a bundle B and removes a positive number of the matches of B such that the number of pieces of bundles still form an arithmetic sequence. The player who cannot do a legal move loses. Determine which player has the winning strategy.

$${X}\:{and}\:{Y}\:{are}\:{playing}\:{a}\:{game}.\: \\ $$$${Initially}\:{there}\:{are}\:{three}\:{bundles}\:{of}\: \\ $$$${matches},\:{consisting}\:{of}\:\mathrm{2021},\:\mathrm{2022}\: \\ $$$${and}\:\mathrm{2023}\:{pieces}.\:{Each}\:{player}\:{in}\:{his}\: \\ $$$${turn}\:{chooses}\:{a}\:{bundle}\:{B}\:{and}\:{removes}\: \\ $$$${a}\:{positive}\:{number}\:{of}\:{the}\:{matches}\:{of}\:{B}\: \\ $$$${such}\:{that}\:{the}\:{number}\:{of}\:{pieces}\:{of}\: \\ $$$${bundles}\:{still}\:{form}\:{an}\:{arithmetic}\: \\ $$$${sequence}.\:{The}\:{player}\:{who}\:{cannot}\:{do}\:{a}\: \\ $$$${legal}\:{move}\:{loses}.\:{Determine}\:{which}\: \\ $$$${player}\:{has}\:{the}\:{winning}\:{strategy}. \\ $$

Question Number 177099 Answers: 1 Comments: 0