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Question Number 194850 Answers: 0 Comments: 0

Question Number 194826 Answers: 1 Comments: 0

tan 19° = p tan 7° =?

$$\:\:\:\:\:\:\mathrm{tan}\:\mathrm{19}°\:=\:{p}\: \\ $$$$\:\:\:\:\:\:\mathrm{tan}\:\mathrm{7}°\:=? \\ $$

Question Number 194821 Answers: 0 Comments: 2

M a inside poin in ΔABC. M = bar {(A, area(MBC)), (B, area(MAC)),(C,area(MAB))}

$${M}\:{a}\:{inside}\:{poin}\:{in}\:\:\Delta{ABC}. \\ $$$${M}\:=\:{bar}\:\left\{\left({A},\:{area}\left({MBC}\right)\right),\:\left({B},\:{area}\left({MAC}\right)\right),\left({C},{area}\left({MAB}\right)\right)\right\} \\ $$

Question Number 194819 Answers: 0 Comments: 0

Question Number 194818 Answers: 1 Comments: 0

Question Number 194815 Answers: 1 Comments: 0

Question Number 194812 Answers: 2 Comments: 0

Question Number 194809 Answers: 2 Comments: 0

If f(x)=ax^2 −5x+3 and g(x)=3x−3 intersection at points (1,h) and (3,t). Find

$$\:\:\:\:{If}\:{f}\left({x}\right)={ax}^{\mathrm{2}} −\mathrm{5}{x}+\mathrm{3}\:{and}\: \\ $$$$\:\:\:{g}\left({x}\right)=\mathrm{3}{x}−\mathrm{3}\:{intersection}\:{at} \\ $$$$\:{points}\:\left(\mathrm{1},{h}\right)\:{and}\:\left(\mathrm{3},{t}\right). \\ $$$$\:\:{Find}\: \\ $$

Question Number 194808 Answers: 0 Comments: 4

suppose a,b,c are positive real numbers prove the inequality (((a+b)/2))(((b+c)/2))(((c+a)/2))≥(((a+b+c)/3))(((abc)^2 ))^(1/3)

$$ \\ $$$${suppose}\:{a},{b},{c}\:{are}\:{positive}\:{real}\:{numbers} \\ $$$${prove}\:{the}\:{inequality} \\ $$$$\left(\frac{{a}+{b}}{\mathrm{2}}\right)\left(\frac{{b}+{c}}{\mathrm{2}}\right)\left(\frac{{c}+{a}}{\mathrm{2}}\right)\geqslant\left(\frac{{a}+{b}+{c}}{\mathrm{3}}\right)\sqrt[{\mathrm{3}}]{\left({abc}\right)^{\mathrm{2}} } \\ $$

Question Number 194796 Answers: 1 Comments: 0

A 1m^2 rectangle which length is less than 1 is a square. Why?

$${A}\:\mathrm{1}{m}^{\mathrm{2}} \:{rectangle}\:{which}\:{length}\:{is}\: \\ $$$${less}\:{than}\:\mathrm{1}\:{is}\:\:{a}\:{square}.\:{Why}? \\ $$

Question Number 194791 Answers: 1 Comments: 0

of x (((x−(√2)))^(1/7) /2) −(((x−(√2)))^(1/7) /x^2 ) = (x/2) ((x^2 /(x+(√2))))^(1/7)

$$\:\: \: \: \:{of}\:{x}\: \\ $$$$\:\:\frac{\sqrt[{\mathrm{7}}]{{x}−\sqrt{\mathrm{2}}}}{\mathrm{2}}\:−\frac{\sqrt[{\mathrm{7}}]{{x}−\sqrt{\mathrm{2}}}}{{x}^{\mathrm{2}} }\:=\:\frac{{x}}{\mathrm{2}}\:\sqrt[{\mathrm{7}}]{\frac{{x}^{\mathrm{2}} }{{x}+\sqrt{\mathrm{2}}}}\:\:\: \\ $$

Question Number 194790 Answers: 1 Comments: 0

Question Number 194786 Answers: 1 Comments: 0

x^n +y^n =¿ (n∈N^∗ )

$${x}^{{n}} +{y}^{{n}} =¿\:\left({n}\in{N}^{\ast} \right) \\ $$

Question Number 194785 Answers: 0 Comments: 0

∫∫ x^2 +y^2 dxdy (D=x^4 +y^4 ≤1)

$$\int\int\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \:{dxdy}\:\left({D}={x}^{\mathrm{4}} +{y}^{\mathrm{4}} \leqslant\mathrm{1}\right) \\ $$

Question Number 194781 Answers: 0 Comments: 0

f_(n ) the general sentence is seqiencee fibonacci. prove that : f_(2n−1) =f_n ^2 +f_(n−1) ^2

$${f}_{{n}\:} \:\:{the}\:{general}\:{sentence}\:{is}\:{seqiencee} \\ $$$${fibonacci}.\: \\ $$$${prove}\:{that}\::\:\:{f}_{\mathrm{2}{n}−\mathrm{1}} ={f}_{{n}} ^{\mathrm{2}} +{f}_{{n}−\mathrm{1}} ^{\mathrm{2}} \\ $$$$ \\ $$

Question Number 194779 Answers: 1 Comments: 4

If a divided by b gives q remaining r Then (a/b) = q,rrr... in base b+1

$${If}\:\:{a}\:\:{divided}\:{by}\:{b}\:{gives}\:{q}\:\:{remaining}\:{r} \\ $$$${Then}\:\:\frac{{a}}{{b}}\:=\:{q},{rrr}...\:\:{in}\:{base}\:{b}+\mathrm{1} \\ $$

Question Number 194767 Answers: 2 Comments: 0

tan θ = 2 ((8sin θ+5cos θ)/(sin^3 θ+cos^3 θ+cos θ)) =?

$$\:\:\:\:\:\mathrm{tan}\:\theta\:=\:\mathrm{2}\: \\ $$$$\:\:\:\frac{\mathrm{8sin}\:\theta+\mathrm{5cos}\:\theta}{\mathrm{sin}\:^{\mathrm{3}} \theta+\mathrm{cos}\:^{\mathrm{3}} \theta+\mathrm{cos}\:\theta}\:=? \\ $$

Question Number 194766 Answers: 2 Comments: 0

1+2cot 2x cot x = 3 x=?

$$\:\:\:\mathrm{1}+\mathrm{2cot}\:\mathrm{2}{x}\:\mathrm{cot}\:{x}\:=\:\mathrm{3}\: \\ $$$$\:\:\:{x}=? \\ $$

Question Number 194759 Answers: 1 Comments: 1

∫_0 ^( 1) ∫_0 ^( 1) (((1+x^2 )/(1+x^2 +y^2 ))) dxdy

$$\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\left(\frac{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }{\mathrm{1}+\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} }\right)\:\mathrm{dxdy}\: \\ $$

Question Number 194756 Answers: 3 Comments: 0

((x−a)/( (√x) +(√a))) = (((√x)−(√a))/3) +2(√a)

$$\:\:\:\:\: \\ $$$$ \:\frac{\mathrm{x}−\mathrm{a}}{\:\sqrt{\mathrm{x}}\:+\sqrt{\mathrm{a}}}\:=\:\frac{\sqrt{\mathrm{x}}−\sqrt{\mathrm{a}}}{\mathrm{3}}\:+\mathrm{2}\sqrt{\mathrm{a}}\: \\ $$

Question Number 194736 Answers: 0 Comments: 2

( log _(sin x cos x) (cos x))( log _(sin x cos x) (sin x))=(1/4)

$$\:\:\:\: \\ $$$$ \left(\:\mathrm{log}\:_{\mathrm{sin}\:\mathrm{x}\:\mathrm{cos}\:\mathrm{x}} \:\left(\mathrm{cos}\:\mathrm{x}\right)\right)\left(\:\mathrm{log}\:_{\mathrm{sin}\:\mathrm{x}\:\mathrm{cos}\:\mathrm{x}} \left(\mathrm{sin}\:\mathrm{x}\right)\right)=\frac{\mathrm{1}}{\mathrm{4}} \\ $$$$\:\: \\ $$

Question Number 194735 Answers: 1 Comments: 0

Question Number 194732 Answers: 2 Comments: 1

Question Number 194715 Answers: 0 Comments: 0

Question Number 194713 Answers: 0 Comments: 2

Question Number 194709 Answers: 1 Comments: 0

Show that in fibonacci sequence f_(3n) =f_n ^3 +f_(n+1) ^3 −f_(n−1) ^3

$${Show}\:{that}\:\:{in}\:{fibonacci}\:{sequence} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{f}_{\mathrm{3}{n}} ={f}_{{n}} ^{\mathrm{3}} +{f}_{{n}+\mathrm{1}} ^{\mathrm{3}} −{f}_{{n}−\mathrm{1}} ^{\mathrm{3}} \\ $$$$ \\ $$

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