Question and Answers Forum

AllQuestion and Answers: Page 139

Question Number 208037 Answers: 1 Comments: 0

Find: 2 log_(√5) sin (π/7) ∙ log_(√(sin (𝛑/7))) 5 = ?

$$\mathrm{Find}:\:\:\:\mathrm{2}\:\mathrm{log}_{\sqrt{\mathrm{5}}} \:\:\mathrm{sin}\:\frac{\pi}{\mathrm{7}}\:\centerdot\:\mathrm{log}_{\sqrt{\boldsymbol{\mathrm{sin}}\:\frac{\boldsymbol{\pi}}{\mathrm{7}}}} \:\:\mathrm{5}\:\:=\:\:? \\ $$

Question Number 208034 Answers: 1 Comments: 1

Question Number 208031 Answers: 1 Comments: 0

we have y=f(x) function, if we transfer its graph C unit vertically and gain the new function y=f(x)±C, it′s meant y is increased or decreased C units. if we transfer the graph of considered function horizontally, we gain the new function y=f(x±C), what does mean it?

$${we}\:{have}\:{y}={f}\left({x}\right)\:{function},\:{if}\:{we}\:{transfer} \\ $$$${its}\:{graph}\:{C}\:{unit}\:{vertically}\:{and}\:{gain} \\ $$$${the}\:{new}\:{function}\:{y}={f}\left({x}\right)\pm{C},\:{it}'{s}\:{meant} \\ $$$${y}\:{is}\:{increased}\:{or}\:{decreased}\:\:{C}\:{units}. \\ $$$${if}\:{we}\:{transfer}\:{the}\:{graph}\:{of}\:{considered} \\ $$$${function}\:{horizontally},\:{we}\:{gain}\:{the}\:{new}\:{function} \\ $$$${y}={f}\left({x}\pm{C}\right),\:{what}\:{does}\:{mean}\:{it}? \\ $$

Question Number 208023 Answers: 1 Comments: 0

Question Number 208021 Answers: 4 Comments: 0

Question Number 208020 Answers: 1 Comments: 0

{ (((1/x)+(1/y)=((14)/(625)))),(((√x)+(√y)=8)) :} Find all solutions.

$$\begin{cases}{\frac{\mathrm{1}}{{x}}+\frac{\mathrm{1}}{{y}}=\frac{\mathrm{14}}{\mathrm{625}}}\\{\sqrt{{x}}+\sqrt{{y}}=\mathrm{8}}\end{cases} \\ $$$$\mathrm{Find}\:\mathrm{all}\:\mathrm{solutions}. \\ $$

Question Number 208011 Answers: 1 Comments: 6

Question Number 208003 Answers: 4 Comments: 0

Question Number 207999 Answers: 0 Comments: 0

Question Number 207991 Answers: 2 Comments: 0

y y

$$\:\:\:\:\:\mathrm{y} \mathrm{y} \\ $$

Question Number 207986 Answers: 1 Comments: 0

(x−3)^(√(x−3 )) = 3

$$\left({x}−\mathrm{3}\right)^{\sqrt{{x}−\mathrm{3}\:}} \:\:=\:\mathrm{3} \\ $$

Question Number 207985 Answers: 1 Comments: 0

Question Number 207984 Answers: 1 Comments: 0

Question Number 207980 Answers: 1 Comments: 0

In AB^Δ C : B= 90^( o) BB′ ⊥ CC′ ( BB′ and CC′ are medians) ⇒ (m_c /(m_a )) = ? note: ∣ CC′ ∣ = m_c , ∣AA′∣= m_a

$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:{In}\:\:\:{A}\overset{\Delta} {{B}C}\::\:\:{B}=\:\mathrm{90}^{\:\mathrm{o}} \: \\ $$$$\:\mathrm{BB}'\:\:\bot\:\mathrm{CC}'\:\left(\:\mathrm{BB}'\:{and}\:\mathrm{CC}'\:{are}\:{medians}\right) \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\Rightarrow\:\:\:\:\frac{\boldsymbol{{m}}_{\boldsymbol{{c}}} }{\boldsymbol{{m}}_{\boldsymbol{{a}}} \:}\:=\:? \\ $$$$\boldsymbol{{note}}:\:\:\mid\:\mathrm{CC}'\:\mid\:=\:\boldsymbol{{m}}_{\boldsymbol{{c}}} \:\:,\:\mid\mathrm{AA}'\mid=\:\boldsymbol{{m}}_{\boldsymbol{{a}}} \\ $$

Question Number 207979 Answers: 1 Comments: 3

generate nth term for the sequence: 1, 1, 1, 2, 3, 5, 9, 18, 35, 75

Question Number 207963 Answers: 0 Comments: 1

(√( ( / ) (√( ( / ))))) = ∈

$$\:\: \sqrt{ \frac{ }{ } \sqrt{ \frac{ }{ }}}\:=\: \\ $$$$ \: \in\: \\ $$

Question Number 207954 Answers: 2 Comments: 0

y=(x_1 /(x_1 +x_2 ))

$$ \\ $$$${y}=\frac{{x}_{\mathrm{1}} }{{x}_{\mathrm{1}} +{x}_{\mathrm{2}} } \\ $$

Question Number 207951 Answers: 0 Comments: 3

Anybody with knowledge or books on mathemtical modeling?

$$\mathrm{Anybody}\:\mathrm{with}\:\mathrm{knowledge}\:\mathrm{or}\:\mathrm{books}\:\mathrm{on} \\ $$$$\mathrm{mathemtical}\:\mathrm{modeling}? \\ $$

Question Number 207950 Answers: 0 Comments: 0

Question Number 207949 Answers: 2 Comments: 0

Find the value of : 𝛀 = ∫_0 ^( (𝛑/2)) (( dx)/(sin^6 x + cos^6 x)) = ? −−−−−−−−−

$$ \\ $$$$\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:{Find}\:{the}\:{value}\:{of}\:: \\ $$$$ \\ $$$$\:\:\:\:\boldsymbol{\Omega}\:=\:\int_{\mathrm{0}} ^{\:\frac{\boldsymbol{\pi}}{\mathrm{2}}} \:\frac{\:\boldsymbol{{dx}}}{\boldsymbol{{sin}}^{\mathrm{6}} \boldsymbol{{x}}\:+\:\boldsymbol{{cos}}^{\mathrm{6}} \boldsymbol{{x}}}\:=\:?\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:−−−−−−−−− \\ $$

Question Number 207947 Answers: 0 Comments: 0

find the domain of f(x)= ((⌊ln(x)⌋(fractional part((√(x−tanx)))))/(⌈sin((1/x))⌉))

$${find}\:{the}\:{domain}\:{of}\: \\ $$$${f}\left({x}\right)=\:\frac{\lfloor{ln}\left({x}\right)\rfloor\left({fractional}\:{part}\left(\sqrt{{x}−{tanx}}\right)\right)}{\lceil{sin}\left(\frac{\mathrm{1}}{{x}}\right)\rceil} \\ $$

Question Number 207946 Answers: 1 Comments: 0

Question Number 207943 Answers: 0 Comments: 11

Find: lim_(x→2^− ) (((x + 2)∙(x + 1))/(∣x + 2∣)) = ?

$$\mathrm{Find}: \\ $$$$\underset{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{2}^{−} } {\mathrm{lim}}\:\frac{\left(\mathrm{x}\:+\:\mathrm{2}\right)\centerdot\left(\mathrm{x}\:+\:\mathrm{1}\right)}{\mid\mathrm{x}\:+\:\mathrm{2}\mid}\:\:=\:\:? \\ $$

Question Number 207938 Answers: 1 Comments: 0

what is the area bounded by the curve y=x(x−2)(x−5) and the x axis?

$${what}\:{is}\:{the}\:{area}\:{bounded}\:{by}\:{the}\:{curve} \\ $$$${y}={x}\left({x}−\mathrm{2}\right)\left({x}−\mathrm{5}\right)\:{and}\:{the}\:{x}\:{axis}? \\ $$$$ \\ $$

Question Number 207937 Answers: 0 Comments: 0

An ordered data consists of 6 even numbers and 4 odd numbers. The average of the odd numbers is 2022. The 3rd, 5th, 6th and 8 th numbers are odd. The data range is 24 , and the interquartile range is 14. The largest possible average of the ten numbers is ___

$$\:\:\mathrm{An}\:\mathrm{ordered}\:\mathrm{data}\:\mathrm{consists}\:\mathrm{of}\: \\ $$$$\:\mathrm{6}\:\mathrm{even}\:\mathrm{numbers}\:\mathrm{and}\:\mathrm{4}\:\mathrm{odd}\:\mathrm{numbers}. \\ $$$$\:\mathrm{The}\:\mathrm{average}\:\mathrm{of}\:\mathrm{the}\:\mathrm{odd}\:\mathrm{numbers}\: \\ $$$$\:\mathrm{is}\:\mathrm{2022}.\:\mathrm{The}\:\mathrm{3rd},\:\mathrm{5th},\:\mathrm{6th}\:\mathrm{and} \\ $$$$\:\mathrm{8}\:\mathrm{th}\:\mathrm{numbers}\:\mathrm{are}\:\mathrm{odd}.\: \\ $$$$\:\mathrm{The}\:\mathrm{data}\:\mathrm{range}\:\mathrm{is}\:\mathrm{24}\:,\:\mathrm{and}\:\mathrm{the}\: \\ $$$$\:\mathrm{interquartile}\:\mathrm{range}\:\mathrm{is}\:\mathrm{14}.\: \\ $$$$\:\mathrm{The}\:\mathrm{largest}\:\mathrm{possible}\:\mathrm{average} \\ $$$$\:\mathrm{of}\:\mathrm{the}\:\mathrm{ten}\:\mathrm{numbers}\:\mathrm{is}\:\_\_\_\: \\ $$

Question Number 207935 Answers: 1 Comments: 0

Pg 134 Pg 135 Pg 136 Pg 137 Pg 138 Pg 139 Pg 140 Pg 141 Pg 142 Pg 143

Contact: info@tinkutara.com