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Question Number 170663 Answers: 2 Comments: 1

Question Number 170661 Answers: 0 Comments: 2

log^3 (√)x = (√(logx)) solve for X

$$\boldsymbol{\mathrm{log}}\:^{\mathrm{3}} \sqrt{}\boldsymbol{\mathrm{x}}\:\:\:=\:\:\:\sqrt{\boldsymbol{\mathrm{logx}}} \\ $$$$\boldsymbol{\mathrm{solve}}\:\:\boldsymbol{\mathrm{for}}\:\:\:\:\:\:\boldsymbol{{X}} \\ $$$$ \\ $$

Question Number 170659 Answers: 0 Comments: 0

c≥0 (U_n )_(n≥1) U_1 =1 U_(n+1) =(√(U_n +cn)) show that U_n ≤α(√n) determine α

$${c}\geqslant\mathrm{0}\:\left({U}_{{n}} \right)_{{n}\geqslant\mathrm{1}} \:\:\:{U}_{\mathrm{1}} =\mathrm{1} \\ $$$${U}_{{n}+\mathrm{1}} =\sqrt{{U}_{{n}} +{cn}} \\ $$$${show}\:{that}\:{U}_{{n}} \leqslant\alpha\sqrt{{n}} \\ $$$${determine}\:\alpha \\ $$

Question Number 170662 Answers: 0 Comments: 0

Given that I_n = ∫_0 ^1 x^n (√(1−x^2 )) dx Show that I_(n+2) = ((I_(n+1) /I_(n+4) ))I_n

$$\mathrm{Given}\:\mathrm{that}\: \\ $$$${I}_{{n}} \:=\:\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{{n}} \sqrt{\mathrm{1}−{x}^{\mathrm{2}} }\:{dx} \\ $$$$\mathrm{Show}\:\mathrm{that} \\ $$$$\:{I}_{{n}+\mathrm{2}} \:=\:\left(\frac{{I}_{{n}+\mathrm{1}} }{{I}_{{n}+\mathrm{4}} }\right){I}_{{n}} \\ $$

Question Number 170649 Answers: 1 Comments: 0

Marta bought a new fish for her home aquarium. She bought 3 guppies and 2 plates for a total of $13.95. Hank also bought 3 guppies and 4 plates for a total of $18.33. Find the price of a guppy and the price of a platy.

$$ \\ $$Marta bought a new fish for her home aquarium. She bought 3 guppies and 2 plates for a total of $13.95. Hank also bought 3 guppies and 4 plates for a total of $18.33. Find the price of a guppy and the price of a platy.

Question Number 170650 Answers: 1 Comments: 0

Tom bought a computer for 15% off from the list price of P dollars. If the sales tax was 8%, how much did he pay for the computer including sales tax?

$$ \\ $$Tom bought a computer for 15% off from the list price of P dollars. If the sales tax was 8%, how much did he pay for the computer including sales tax?

Question Number 170646 Answers: 0 Comments: 0

∫_0 ^1 ((ln(1−x^2 )ln(1+x^2 ))/(1+x^2 ))dx can this be done

$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\boldsymbol{\mathrm{ln}}\left(\mathrm{1}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} \right)\boldsymbol{\mathrm{ln}}\left(\mathrm{1}+\boldsymbol{\mathrm{x}}^{\mathrm{2}} \right)}{\mathrm{1}+\boldsymbol{\mathrm{x}}^{\mathrm{2}} }\boldsymbol{\mathrm{dx}} \\ $$$$\boldsymbol{\mathrm{can}}\:\:\boldsymbol{\mathrm{this}}\:\boldsymbol{\mathrm{be}}\:\boldsymbol{\mathrm{done}} \\ $$

Question Number 170627 Answers: 0 Comments: 0