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Question Number 192261 Answers: 0 Comments: 0

f(x)=⌊ (( 1)/(1+(√x))) ⌋ is derivable on ( 0 , k ). find the value of k_( max) =?

$$ \\ $$$$\:\:\:{f}\left({x}\right)=\lfloor\:\frac{\:\mathrm{1}}{\mathrm{1}+\sqrt{{x}}}\:\rfloor\:{is}\:{derivable}\: \\ $$$$\:\:{on}\:\:\left(\:\mathrm{0}\:,\:\:{k}\:\right).\:{find}\:{the}\:{value}\:{of} \\ $$$$\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{k}_{\:{max}} =?\: \\ $$$$\:\:\: \\ $$

Question Number 192257 Answers: 0 Comments: 3

A bullet with a velocity of 30 ms^(−1) after pentrating a 6 cm whole tree the velocity is reduced by one−third and then the bullet travels for 1s more. Will the bullet penetratee th tree? Analyze mathematically.

$$ \\ $$$$\mathrm{A}\:\mathrm{bullet}\:\mathrm{with}\:\mathrm{a}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{30}\:\mathrm{ms}^{−\mathrm{1}} \:\mathrm{after} \\ $$$$\mathrm{pentrating}\:\mathrm{a}\:\mathrm{6}\:{cm}\:\mathrm{whole}\:\mathrm{tree}\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{is}\: \\ $$$$\mathrm{reduced}\:\mathrm{by}\:\mathrm{one}−\mathrm{third}\:\mathrm{and}\:\mathrm{then}\:\mathrm{the}\:\mathrm{bullet} \\ $$$$\mathrm{travel}{s}\:\mathrm{for}\:\mathrm{1s}\:\mathrm{more}.\: \\ $$$$ \\ $$$$ \\ $$$${Will}\:\mathrm{the}\:\mathrm{bullet}\:\mathrm{penetratee} \\ $$$$\mathrm{th}\:\mathrm{tree}?\:\mathrm{Analyze}\:\mathrm{mathematically}. \\ $$

Question Number 192256 Answers: 0 Comments: 0

given f(x)=cx(x−20) and A=(2,5) find the nearst point to A on the graph

$$\mathrm{given}\:{f}\left({x}\right)={cx}\left({x}−\mathrm{20}\right)\:\mathrm{and}\:{A}=\left(\mathrm{2},\mathrm{5}\right) \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{nearst}\:\mathrm{point}\:\mathrm{to}\:{A}\:\mathrm{on}\:\mathrm{the}\:\mathrm{graph} \\ $$

Question Number 192255 Answers: 0 Comments: 0

If θ be the acute angle between two regression line in the case of two variables x and y Show that tan θ=((1−r)/r).((σ_x σ_y )/(σ_x ^2 +σ_y ^2 )) where r,σ_x ,σ_y have their usual meanings. Explain the significance where r=0 and r=±r 1/2/2024

$${If}\:\theta\:{be}\:{the}\:{acute}\:{angle}\:{between}\:{two}\:{regression} \\ $$$${line}\:{in}\:{the}\:{case}\:{of}\:{two}\:{variables}\:{x}\:{and}\:{y} \\ $$$${Show}\:{that} \\ $$$$\:\:\mathrm{tan}\:\theta=\frac{\mathrm{1}−{r}}{{r}}.\frac{\sigma_{{x}} \sigma_{{y}} }{\sigma_{{x}} ^{\mathrm{2}} +\sigma_{{y}} ^{\mathrm{2}} }\:\:\: \\ $$$${where}\:\:{r},\sigma_{{x}} ,\sigma_{{y}} \:\:{have}\:{their}\:{usual}\:{meanings}. \\ $$$${Explain}\:{the}\:{significance}\:{where}\:{r}=\mathrm{0}\:\:\:{and}\:{r}=\pm{r} \\ $$$$\mathrm{1}/\mathrm{2}/\mathrm{2024} \\ $$

Question Number 192254 Answers: 0 Comments: 0

Establish the formular σ_(x−y) ^2 =σ_x ^2 +σ_y ^2 −2rσ_x σ_y where by r is the correlation coefficient between x and y 1/2/2024

$${Establish}\:{the}\:{formular}\:\: \\ $$$$\sigma_{{x}−{y}} ^{\mathrm{2}} =\sigma_{{x}} ^{\mathrm{2}} +\sigma_{{y}} ^{\mathrm{2}} −\mathrm{2}{r}\sigma_{{x}} \sigma_{{y}} \:\: \\ $$$${where}\:{by}\:{r}\:{is}\:{the}\:{correlation} \\ $$$${coefficient}\:{between}\:{x}\:{and}\:{y} \\ $$$$\mathrm{1}/\mathrm{2}/\mathrm{2024} \\ $$

Question Number 192248 Answers: 0 Comments: 1