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Question Number 172732 Answers: 2 Comments: 0

sinθ−cosθ=(1/2) sin^4 θ+cos^4 θ=?

$$\mathrm{sin}\theta−\mathrm{cos}\theta=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\mathrm{sin}^{\mathrm{4}} \theta+\mathrm{cos}^{\mathrm{4}} \theta=? \\ $$

Question Number 172731 Answers: 0 Comments: 0

Question Number 172730 Answers: 1 Comments: 0

Question Number 172722 Answers: 0 Comments: 0

Question Number 172723 Answers: 1 Comments: 0

Question Number 172712 Answers: 2 Comments: 0

1. ∫(x/(x^2 −x−6)) dx=...

$$\mathrm{1}.\:\int\frac{{x}}{{x}^{\mathrm{2}} −{x}−\mathrm{6}}\:{dx}=... \\ $$

Question Number 172709 Answers: 1 Comments: 0

Question Number 172718 Answers: 0 Comments: 0

Question Number 172704 Answers: 1 Comments: 0

if (x^2 +11x)+(5/((x^2 −x)))=−30 then faind:(x+2)(x+3)=?

$${if}\:\left({x}^{\mathrm{2}} +\mathrm{11}{x}\right)+\frac{\mathrm{5}}{\left({x}^{\mathrm{2}} −{x}\right)}=−\mathrm{30} \\ $$$${then}\:{faind}:\left({x}+\mathrm{2}\right)\left({x}+\mathrm{3}\right)=? \\ $$

Question Number 172703 Answers: 1 Comments: 0

if (√(x/y))+(1/( (√2)))=(√(y/x)) and 2x^2 =7 thin faind volue of x∙y=?

$${if}\:\sqrt{\frac{{x}}{{y}}}+\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}=\sqrt{\frac{{y}}{{x}}}\:{and}\:\mathrm{2}{x}^{\mathrm{2}} =\mathrm{7} \\ $$$${thin}\:{faind}\:{volue}\:{of}\:{x}\centerdot{y}=? \\ $$

Question Number 172694 Answers: 0 Comments: 0

I-incenter AB , BE , CF-internal bisectors in △ABC Prove that 8 ≤ ((AI)/(DI)) ∙ ((BI)/(EI)) ∙ ((CI)/(FI)) ≤ ((4R)/r)

$$\mathrm{I}-\mathrm{incenter} \\ $$$$\mathrm{AB}\:,\:\mathrm{BE}\:,\:\mathrm{CF}-\mathrm{internal}\:\mathrm{bisectors}\:\mathrm{in}\:\bigtriangleup\mathrm{ABC} \\ $$$$\mathrm{Prove}\:\mathrm{that} \\ $$$$\mathrm{8}\:\leqslant\:\frac{\mathrm{AI}}{\mathrm{DI}}\:\centerdot\:\frac{\mathrm{BI}}{\mathrm{EI}}\:\centerdot\:\frac{\mathrm{CI}}{\mathrm{FI}}\:\leqslant\:\frac{\mathrm{4R}}{\mathrm{r}} \\ $$

Question Number 172692 Answers: 2 Comments: 0

Question Number 172688 Answers: 0 Comments: 4

(1+2+3+4)^2 =1^2 +2^2 +3^2 +4^2 right? (1+2+3+4)^2 =1^3 +2^3 +3^3 +4^3 right?

$$\left(\mathrm{1}+\mathrm{2}+\mathrm{3}+\mathrm{4}\right)^{\mathrm{2}} =\mathrm{1}^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}} +\mathrm{3}^{\mathrm{2}} +\mathrm{4}^{\mathrm{2}} \:\:{right}? \\ $$$$\left(\mathrm{1}+\mathrm{2}+\mathrm{3}+\mathrm{4}\right)^{\mathrm{2}} =\mathrm{1}^{\mathrm{3}} +\mathrm{2}^{\mathrm{3}} +\mathrm{3}^{\mathrm{3}} +\mathrm{4}^{\mathrm{3}} \:\:{right}? \\ $$

Question Number 172687 Answers: 1 Comments: 3

Sum to n terms: 7+77+777+...

$$\mathrm{Sum}\:\mathrm{to}\:\mathrm{n}\:\mathrm{terms}: \\ $$$$\mathrm{7}+\mathrm{77}+\mathrm{777}+... \\ $$

Question Number 172681 Answers: 4 Comments: 0

Question Number 172662 Answers: 4 Comments: 0

Question Number 172653 Answers: 1 Comments: 0

Question Number 172651 Answers: 0 Comments: 0

Question Number 172636 Answers: 2 Comments: 0

Question Number 172635 Answers: 4 Comments: 0

Question Number 172632 Answers: 0 Comments: 6

Question Number 172631 Answers: 0 Comments: 3

Question Number 172628 Answers: 1 Comments: 2

Question Number 172613 Answers: 3 Comments: 0

min y=9 sin^2 x+ 4 csc^2 x + 3

$$\:\:\:{min}\:{y}=\mathrm{9}\:\mathrm{sin}\:^{\mathrm{2}} {x}+\:\mathrm{4}\:{csc}^{\mathrm{2}} {x}\:+\:\mathrm{3} \\ $$

Question Number 172612 Answers: 0 Comments: 0

Question Number 172611 Answers: 1 Comments: 0

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