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Question Number 69143    Answers: 0   Comments: 0

x^4 +ax^3 +bx^2 +cx+d=0 let x=f(t) linear perhaps t^4 +At^3 +Bt^2 +Ct+D=0 can we have 4AB=A^3 +8C solving at most a degree three polynomial ?

$${x}^{\mathrm{4}} +{ax}^{\mathrm{3}} +{bx}^{\mathrm{2}} +{cx}+{d}=\mathrm{0} \\ $$$${let}\:\:{x}={f}\left({t}\right)\:\:{linear}\:{perhaps} \\ $$$${t}^{\mathrm{4}} +{At}^{\mathrm{3}} +{Bt}^{\mathrm{2}} +{Ct}+{D}=\mathrm{0} \\ $$$${can}\:{we}\:{have}\:\: \\ $$$$\:\:\:\mathrm{4}{AB}={A}^{\mathrm{3}} +\mathrm{8}{C}\:\:{solving}\:{at}\:{most} \\ $$$${a}\:{degree}\:{three}\:{polynomial}\:? \\ $$

Question Number 69176    Answers: 0   Comments: 1

difference of two complementary angles is 102^° .find two angles

$${difference}\:{of}\:{two}\:{complementary}\: \\ $$$${angles}\:{is}\:\mathrm{102}^{°} .{find}\:{two}\:{angles} \\ $$

Question Number 69175    Answers: 1   Comments: 0

if two finite sets have m and n term.if the no of subset of first set is 112 more then the no of subset of second set.find m and n?

$${if}\:{two}\:{finite}\:{sets}\:{have}\:{m}\:{and}\:{n}\:{term}.{if}\:{the}\:{no}\:{of}\:{subset}\:{of}\:{first}\:{set}\:{is}\:\mathrm{112}\:{more}\:{then}\:{the}\:{no}\:{of}\:{subset}\:{of}\:{second}\:{set}.{find}\:{m}\:{and}\:{n}? \\ $$

Question Number 69168    Answers: 0   Comments: 0

Question Number 69167    Answers: 1   Comments: 0

Question Number 69133    Answers: 0   Comments: 1

∫(x − tanx)^2 dx = ?

$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\int\left(\boldsymbol{\mathrm{x}}\:−\:\boldsymbol{\mathrm{tanx}}\right)^{\mathrm{2}} \:\boldsymbol{\mathrm{dx}}\:\:=\:? \\ $$$$ \\ $$

Question Number 69130    Answers: 0   Comments: 3

9Σ_(k=4) ^n (1/(k^3 −6k^2 +11k−6))=?

$$\mathrm{9}\underset{\mathrm{k}=\mathrm{4}} {\overset{\mathrm{n}} {\sum}}\frac{\mathrm{1}}{\mathrm{k}^{\mathrm{3}} −\mathrm{6k}^{\mathrm{2}} +\mathrm{11k}−\mathrm{6}}=? \\ $$$$\:\:\:\:\: \\ $$

Question Number 69123    Answers: 1   Comments: 0

Question Number 69116    Answers: 0   Comments: 0

Here are three propositions: − This sentence has exactly six words −There are two wrong propositions −The two previous sentences are correct Among that propositions ,how many are wrong? list them!

$$\:{Here}\:\:{are}\:{three}\:{propositions}:\: \\ $$$$−\:{This}\:{sentence}\:{has}\:{exactly}\:{six}\:{words} \\ $$$$−{There}\:{are}\:{two}\:{wrong}\:{propositions} \\ $$$$−{The}\:{two}\:{previous}\:{sentences}\:{are}\:{correct} \\ $$$$ \\ $$$${Among}\:{that}\:{propositions}\:,{how}\:{many}\:{are}\:{wrong}?\:{list}\:{them}! \\ $$

Question Number 69092    Answers: 1   Comments: 0

Question Number 69082    Answers: 1   Comments: 1

Solve x^2 = 16^x

$$\boldsymbol{{Solve}}\:\:\boldsymbol{{x}}^{\mathrm{2}} \:=\:\mathrm{16}^{\boldsymbol{{x}}} \\ $$

Question Number 69081    Answers: 2   Comments: 0

prove that tan ((3π)/7) −4sin (π/7) = (√7).

$${prove}\:{that} \\ $$$${tan}\:\frac{\mathrm{3}\pi}{\mathrm{7}}\:−\mathrm{4}{sin}\:\frac{\pi}{\mathrm{7}}\:=\:\sqrt{\mathrm{7}}. \\ $$

Question Number 69075    Answers: 0   Comments: 2

Question Number 69074    Answers: 0   Comments: 0

Question Number 69073    Answers: 0   Comments: 3

A man wants to shear 17 cars between his 3 children in the ratio 1:2, 1:3, 1:9 respectively.How will he go about it?

$${A}\:{man}\:{wants}\:{to}\:{shear}\:\mathrm{17}\:{cars}\:{between} \\ $$$${his}\:\mathrm{3}\:{children}\:{in}\:{the}\:{ratio}\:\mathrm{1}:\mathrm{2},\:\mathrm{1}:\mathrm{3},\:\mathrm{1}:\mathrm{9} \\ $$$${respectively}.{How}\:{will}\:{he}\:{go}\:{about}\:{it}? \\ $$

Question Number 69072    Answers: 0   Comments: 0

Question Number 69064    Answers: 1   Comments: 3

Question Number 69106    Answers: 0   Comments: 0

Question Number 69105    Answers: 0   Comments: 0

Question Number 69104    Answers: 0   Comments: 3

Question Number 69111    Answers: 1   Comments: 2

Question Number 69110    Answers: 0   Comments: 3

Evaluate ∫_(−∞) ^∞ ((cos(x))/(x^2 +1))dx

$${Evaluate}\:\int_{−\infty} ^{\infty} \frac{{cos}\left({x}\right)}{{x}^{\mathrm{2}} +\mathrm{1}}{dx} \\ $$

Question Number 69098    Answers: 1   Comments: 3

Question Number 69046    Answers: 0   Comments: 4

Question Number 69045    Answers: 2   Comments: 0

Question Number 69034    Answers: 2   Comments: 0

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