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Question Number 175373 Answers: 4 Comments: 0

if x^6 + y^6 = 9 x^4 + y^4 = 5 then x^2 +y^2 =?

$$\:\:\mathrm{if}\:\:\:\:{x}^{\mathrm{6}} \:+\:{y}^{\mathrm{6}} \:=\:\mathrm{9} \\ $$$$\:\:\:\:\:\:\:\:\:\:{x}^{\mathrm{4}} \:+\:{y}^{\mathrm{4}} \:=\:\mathrm{5} \\ $$$$\:\mathrm{then}\:\:\:\:{x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} \:=? \\ $$

Question Number 175346 Answers: 1 Comments: 0

Solve it by horner′s method. (2x^3 y^2 +3x^2 y−4x+5y−12)÷(x−3)

$${Solve}\:{it}\:{by}\:{horner}'{s}\:{method}. \\ $$$$\left(\mathrm{2}{x}^{\mathrm{3}} {y}^{\mathrm{2}} +\mathrm{3}{x}^{\mathrm{2}} {y}−\mathrm{4}{x}+\mathrm{5}{y}−\mathrm{12}\right)\boldsymbol{\div}\left({x}−\mathrm{3}\right) \\ $$

Question Number 175343 Answers: 3 Comments: 1

∫_0 ^∞ (x^5 /( (√(3−x))))dx

$$\int_{\mathrm{0}} ^{\infty} \frac{{x}^{\mathrm{5}} }{\:\sqrt{\mathrm{3}−{x}}}{dx} \\ $$

Question Number 175335 Answers: 2 Comments: 0

solve the inequalities Q.(1) ((1+log_a ^2 x)/(1+log_a x)) > 1 , 0<a<1 Q.(2) log_x ((4x+5)/(6−5x)) < −1

$$\:\:\:\:\:\mathrm{solve}\:\mathrm{the}\:\mathrm{inequalities} \\ $$$$\:{Q}.\left(\mathrm{1}\right)\:\:\frac{\mathrm{1}+\mathrm{log}_{{a}} ^{\mathrm{2}} {x}}{\mathrm{1}+\mathrm{log}_{{a}} {x}}\:\:\:>\:\mathrm{1}\:\:\:,\:\:\mathrm{0}<{a}<\mathrm{1} \\ $$$$\:\:{Q}.\left(\mathrm{2}\right)\:\:\:\:\:\:\:\mathrm{log}_{{x}} \:\frac{\mathrm{4}{x}+\mathrm{5}}{\mathrm{6}−\mathrm{5}{x}}\:\:<\:\:−\mathrm{1} \\ $$

Question Number 175333 Answers: 1 Comments: 0

solve (x ∈ R ). ⌊ (( 2^( x) +1)/3) ⌋ + ⌊ 4^( (x/2)) ⌋ = 4 −−−−−−

$$ \\ $$$$\:\:\:{solve}\:\left({x}\:\in\:\mathbb{R}\:\right). \\ $$$$ \\ $$$$\:\:\lfloor\:\frac{\:\mathrm{2}^{\:{x}} \:+\mathrm{1}}{\mathrm{3}}\:\rfloor\:+\:\lfloor\:\mathrm{4}^{\:\frac{{x}}{\mathrm{2}}} \:\rfloor\:=\:\mathrm{4} \\ $$$$\:\:\:\:−−−−−−\: \\ $$

Question Number 175320 Answers: 3 Comments: 3

{ ((4x=2(mod 9))),((7x=2 (mod 13))) :}

$$\:\:\begin{cases}{\mathrm{4}{x}=\mathrm{2}\left({mod}\:\mathrm{9}\right)}\\{\mathrm{7}{x}=\mathrm{2}\:\left({mod}\:\mathrm{13}\right)}\end{cases} \\ $$

Question Number 181489 Answers: 1 Comments: 0

a and b are mutuallly prime numbers If (3/8) < (a/b) < (2/5) Find (b−a)_(min)

$$\boldsymbol{\mathrm{a}}\:\:\mathrm{and}\:\:\boldsymbol{\mathrm{b}}\:\mathrm{are}\:\mathrm{mutuallly}\:\mathrm{prime}\:\mathrm{numbers} \\ $$$$\mathrm{If}\:\:\:\frac{\mathrm{3}}{\mathrm{8}}\:<\:\frac{\boldsymbol{\mathrm{a}}}{\boldsymbol{\mathrm{b}}}\:<\:\frac{\mathrm{2}}{\mathrm{5}} \\ $$$$\mathrm{Find}\:\:\:\left(\boldsymbol{\mathrm{b}}−\boldsymbol{\mathrm{a}}\right)_{\boldsymbol{\mathrm{min}}} \\ $$

Question Number 175315 Answers: 0 Comments: 0

Question Number 175311 Answers: 1 Comments: 1

Question Number 175305 Answers: 1 Comments: 0

Question Number 175304 Answers: 1 Comments: 0

Question Number 175302 Answers: 2 Comments: 0

Question Number 175301 Answers: 0 Comments: 0

Question Number 175297 Answers: 1 Comments: 0

Question Number 175294 Answers: 1 Comments: 0

Question Number 175285 Answers: 2 Comments: 0

simplfy sinh(log2)

$$\mathrm{simplfy} \\ $$$$\:\boldsymbol{\mathrm{sinh}}\left(\boldsymbol{\mathrm{log}}\mathrm{2}\right) \\ $$

Question Number 175284 Answers: 1 Comments: 0

Question Number 175280 Answers: 2 Comments: 0

A biology class at central high school predicted that a local population of animals will double in size every 12 years. The population at the beginning of 2014 was estimated to be 50 animals. If P represents the population n years after 2014. Find the equations represents the class model of the population over time?

$$\mathrm{A}\:\mathrm{biology}\:\:\mathrm{class}\:\mathrm{at}\:\mathrm{central}\:\:\mathrm{high}\:\:\mathrm{school} \\ $$$$\mathrm{predicted}\:\:\mathrm{that}\:\:\mathrm{a}\:\:\mathrm{local}\:\:\mathrm{population}\:\:\mathrm{of}\:\:\:\mathrm{animals} \\ $$$$\mathrm{will}\:\:\mathrm{double}\:\:\mathrm{in}\:\:\mathrm{size}\:\:\mathrm{every}\:\:\mathrm{12}\:\:\mathrm{years}. \\ $$$$\mathrm{The}\:\:\mathrm{population}\:\:\mathrm{at}\:\:\mathrm{the}\:\:\mathrm{beginning}\:\:\mathrm{of}\:\:\mathrm{2014} \\ $$$$\mathrm{was}\:\:\mathrm{estimated}\:\:\mathrm{to}\:\mathrm{be}\:\:\mathrm{50}\:\:\mathrm{animals}. \\ $$$$\mathrm{If}\:\:{P}\:\:\mathrm{represents}\:\:\mathrm{the}\:\:\mathrm{population}\:\:{n}\:\:\mathrm{years}\:\:\mathrm{after}\:\:\mathrm{2014}. \\ $$$$\mathrm{Find}\:\:\mathrm{the}\:\:\mathrm{equations}\:\:\mathrm{represents}\:\:\mathrm{the}\:\:\mathrm{class}\:\:\mathrm{model} \\ $$$$\mathrm{of}\:\:\mathrm{the}\:\:\mathrm{population}\:\:\mathrm{over}\:\:\mathrm{time}? \\ $$

Question Number 175277 Answers: 0 Comments: 0