Question and Answers Forum

All Questions Topic List

AllQuestion and Answers: Page 114

Question Number 212457 Answers: 1 Comments: 0

Question Number 212456 Answers: 2 Comments: 0

∫ ((√(9x^2 −49))/x^3 ) dx = ?

$$\int\:\:\frac{\sqrt{\mathrm{9}{x}^{\mathrm{2}} −\mathrm{49}}}{{x}^{\mathrm{3}} }\:\:{dx}\:=\:? \\ $$

Question Number 212307 Answers: 1 Comments: 0

I=∫_0 ^∞ (((x−arctan x)^2 )/x^4 )dx.

$$ \\ $$$$\:\:{I}=\int_{\mathrm{0}} ^{\infty} \frac{\left({x}−\mathrm{arctan}\:{x}\right)^{\mathrm{2}} }{{x}^{\mathrm{4}} }{dx}. \\ $$

Question Number 212304 Answers: 0 Comments: 1

Hmmm...... does this Series Convergence?? Let′s define a_h as j_(ν,h) zero point of J_ν (z) ex. j_(1,1) is first zeros of J_1 (z) j_(2,2) is secondary zeros of J_2 (z)..... and that′s Sum S=Σ (1/(h!))a_(h ) , h=1,2,3.... div conv?? pls answer me...

$$\mathrm{Hmmm}...... \\ $$$$\mathrm{does}\:\mathrm{this}\:\mathrm{Series}\:\mathrm{Convergence}?? \\ $$$$\mathrm{Let}'\mathrm{s}\:\mathrm{define}\:{a}_{{h}} \:\mathrm{as}\:{j}_{\nu,{h}} \:\mathrm{zero}\:\mathrm{point}\:\mathrm{of}\:{J}_{\nu} \left({z}\right) \\ $$$$\mathrm{ex}.\:\:{j}_{\mathrm{1},\mathrm{1}} \:\mathrm{is}\:\mathrm{first}\:\mathrm{zeros}\:\mathrm{of}\:{J}_{\mathrm{1}} \left({z}\right) \\ $$$$\:\:\:\:\:{j}_{\mathrm{2},\mathrm{2}} \:\mathrm{is}\:\mathrm{secondary}\:\mathrm{zeros}\:\mathrm{of}\:\:{J}_{\mathrm{2}} \left({z}\right)..... \\ $$$$\mathrm{and}\:\mathrm{that}'\mathrm{s}\:\mathrm{Sum}\:{S}=\Sigma\:\frac{\mathrm{1}}{{h}!}{a}_{{h}\:} \:,\:{h}=\mathrm{1},\mathrm{2},\mathrm{3}.... \\ $$$$\mathrm{div}\:\mathrm{conv}??\:\mathrm{pls}\:\mathrm{answer}\:\mathrm{me}... \\ $$

Question Number 212301 Answers: 2 Comments: 0

3x+(2/( (√x)))=1, x−(√x) =?

$$\:\:\:\:\mathrm{3}{x}+\frac{\mathrm{2}}{\:\sqrt{{x}}}=\mathrm{1},\:{x}−\sqrt{{x}}\:=? \\ $$$$\:\: \\ $$

Question Number 212291 Answers: 1 Comments: 2

Question Number 212242 Answers: 0 Comments: 7

Help

$$\mathrm{Help} \\ $$

Question Number 212239 Answers: 2 Comments: 0

Question Number 212233 Answers: 1 Comments: 1

sin^(−1) (((12)/(13)))+cos^(−1) ((3/5))+tan^(−1) (((63)/(16)))=?

$$\mathrm{sin}^{−\mathrm{1}} \left(\frac{\mathrm{12}}{\mathrm{13}}\right)+\mathrm{cos}^{−\mathrm{1}} \left(\frac{\mathrm{3}}{\mathrm{5}}\right)+\mathrm{tan}^{−\mathrm{1}} \left(\frac{\mathrm{63}}{\mathrm{16}}\right)=? \\ $$

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

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