Question and Answers Forum

AllQuestion and Answers: Page 102

Question Number 212232 Answers: 1 Comments: 1

a^3 cos(A−B)+b^3 cos(B−C)+c^3 cos(A−C)=?

$${a}^{\mathrm{3}} {cos}\left({A}−{B}\right)+{b}^{\mathrm{3}} {cos}\left({B}−{C}\right)+{c}^{\mathrm{3}} {cos}\left({A}−{C}\right)=? \\ $$

Question Number 212231 Answers: 1 Comments: 11

(√(2+(√(2+(√(2+(√(2cos8x))))))))=?

$$\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}{cos}\mathrm{8}{x}}}}}=? \\ $$

Question Number 212229 Answers: 0 Comments: 0

Question Number 212228 Answers: 0 Comments: 0

Question Number 212224 Answers: 1 Comments: 0

a,b,c∈R a+b+c=1, a^2 +b^2 +c^2 =1 a^(10) +b^(10) +c^(10) =1, a^4 +b^4 +c^4 =?

$$\:{a},{b},{c}\in{R} \\ $$$$\:{a}+{b}+{c}=\mathrm{1},\:{a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} =\mathrm{1} \\ $$$$\:{a}^{\mathrm{10}} +{b}^{\mathrm{10}} +{c}^{\mathrm{10}} =\mathrm{1},\:{a}^{\mathrm{4}} +{b}^{\mathrm{4}} +{c}^{\mathrm{4}} =? \\ $$

Question Number 212219 Answers: 3 Comments: 0

Find: (√(21∙22∙23∙24 + 1)) = ?

$$\mathrm{Find}: \\ $$$$\sqrt{\mathrm{21}\centerdot\mathrm{22}\centerdot\mathrm{23}\centerdot\mathrm{24}\:+\:\mathrm{1}}\:=\:? \\ $$

Question Number 212214 Answers: 1 Comments: 1

Find tanθ.

$$\mathrm{Find}\:\mathrm{tan}\theta. \\ $$

Question Number 212213 Answers: 1 Comments: 0

Can some please explain is there any use of imaginary numbers in real life? I have heard that this number has been used in many different fields. Why use a number which is not real.

$$\mathrm{Can}\:\mathrm{some}\:\mathrm{please}\:\mathrm{explain}\:\mathrm{is}\:\mathrm{there}\:\mathrm{any}\:\mathrm{use}\:\mathrm{of}\:\mathrm{imaginary}\:\mathrm{numbers}\:\mathrm{in}\:\mathrm{real}\:\mathrm{life}? \\ $$$$\mathrm{I}\:\mathrm{have}\:\mathrm{heard}\:\mathrm{that}\:\mathrm{this}\:\mathrm{number}\:\mathrm{has}\:\mathrm{been}\:\mathrm{used}\:\mathrm{in}\:\mathrm{many}\:\mathrm{different}\:\mathrm{fields}.\: \\ $$$$\mathrm{Why}\:\mathrm{use}\:\mathrm{a}\:\mathrm{number}\:\mathrm{which}\:\mathrm{is}\:\mathrm{not}\:\mathrm{real}. \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

Question Number 212209 Answers: 1 Comments: 0

$$\:\: \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

Question Number 212204 Answers: 0 Comments: 2

f(x) is continous and lim_(x→∞) f(x)=−∞ prove max(f(x)) exist

$${f}\left({x}\right)\:{is}\:{continous}\:{and} \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}{f}\left({x}\right)=−\infty \\ $$$${prove}\:{max}\left({f}\left({x}\right)\right)\:{exist} \\ $$

Question Number 212201 Answers: 1 Comments: 0

find the last two digits of 9^9^9 ?

$$\:\:\:\:\:\:\:\mathrm{find}\:\mathrm{the}\:\mathrm{last}\:\mathrm{two}\:\mathrm{digits}\:\mathrm{of}\:\mathrm{9}^{\mathrm{9}^{\mathrm{9}} } \:? \\ $$

Question Number 212226 Answers: 0 Comments: 1

Factorize: x^(16) −x^(14) +x^9 +x^7 +x

$$\:{Factorize}: \\ $$$$\:{x}^{\mathrm{16}} −{x}^{\mathrm{14}} +{x}^{\mathrm{9}} +{x}^{\mathrm{7}} +{x} \\ $$

Question Number 212186 Answers: 1 Comments: 0

sin^2 1^o + sin^2 5^o + sin^2 9^o + ... sin^2 89^o = a (1/b) b = ? Help me, please

$$ \\ $$$$\:\:\:{sin}^{\mathrm{2}} \:\mathrm{1}^{{o}} \:+\:{sin}^{\mathrm{2}} \:\mathrm{5}^{{o}} \:+\:{sin}^{\mathrm{2}} \:\mathrm{9}^{{o}} \:+\:...\:{sin}^{\mathrm{2}} \:\mathrm{89}^{{o}} \:=\:{a}\:\frac{\mathrm{1}}{{b}} \\ $$$$\:\:\:{b}\:=\:? \\ $$$$\:\:\:\mathbb{H}{elp}\:{me},\:{please} \\ $$$$ \\ $$

Question Number 212181 Answers: 2 Comments: 0

Question Number 212179 Answers: 2 Comments: 0

Question Number 212176 Answers: 0 Comments: 0

Question Number 212175 Answers: 1 Comments: 0

Question Number 212177 Answers: 2 Comments: 0

f(x)=arctan(((1−x)/(1+x)))=? ask:f^(2023) (0)

$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{f}\left({x}\right)=\mathrm{arctan}\left(\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}\right)=? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{ask}:{f}^{\mathrm{2023}} \left(\mathrm{0}\right) \\ $$

Question Number 212171 Answers: 0 Comments: 0

Question Number 212170 Answers: 2 Comments: 4

Question Number 212169 Answers: 1 Comments: 0

lim_(λ→0^+ ) ∫_λ ^(2λ) (e^((x−1)^2 ) /x)dx = ?

$$\:\:\:\:\:\:\:\:\:\:\underset{\lambda\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:\:\int_{\lambda} ^{\mathrm{2}\lambda} \:\frac{{e}^{\left({x}−\mathrm{1}\right)^{\mathrm{2}} } }{{x}}{dx}\:=\:? \\ $$

Question Number 212164 Answers: 1 Comments: 0

Σ_(n=0) ^∞ (( (−1)^n )/(3n+1)) − ln((2)^(1/3) ) = ?

$$ \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\:\left(−\mathrm{1}\right)^{{n}} }{\mathrm{3}{n}+\mathrm{1}}\:−\:\mathrm{ln}\left(\sqrt[{\mathrm{3}}]{\mathrm{2}}\:\right)\:=\:? \\ $$$$\: \\ $$$$ \\ $$

Question Number 212159 Answers: 1 Comments: 0

Question Number 212160 Answers: 1 Comments: 0

Question Number 212152 Answers: 2 Comments: 0

Question Number 212168 Answers: 0 Comments: 0

Pg 97 Pg 98 Pg 99 Pg 100 Pg 101 Pg 102 Pg 103 Pg 104 Pg 105 Pg 106

Contact: info@tinkutara.com