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AllQuestion and Answers: Page 207

Question Number 201258 Answers: 0 Comments: 0

Question Number 201257 Answers: 2 Comments: 0

Biggest prime factor of (3^(14) + 3^(13) − 12) = ?

$$\mathrm{Biggest}\:\mathrm{prime}\:\mathrm{factor}\:\mathrm{of}\:\left(\mathrm{3}^{\mathrm{14}} \:+\:\mathrm{3}^{\mathrm{13}} \:−\:\mathrm{12}\right)\:=\:? \\ $$

Question Number 201253 Answers: 2 Comments: 0

find the sum of n terms of the serice s_n =5+11+19+29+41+..........

$${find}\:{the}\:{sum}\:{of}\:{n}\:{terms}\:{of}\:{the}\:{serice} \\ $$$${s}_{{n}} =\mathrm{5}+\mathrm{11}+\mathrm{19}+\mathrm{29}+\mathrm{41}+.......... \\ $$

Question Number 201241 Answers: 0 Comments: 0

Question Number 201237 Answers: 1 Comments: 3

If , a ∣ 5b^( 2) −10b +1 ⇒ [ a , 5b ]_(lcm) = ?

$$ \\ $$$$\:\:\:\:{If}\:\:,\:\:\:{a}\:\mid\:\mathrm{5}{b}^{\:\mathrm{2}} −\mathrm{10}{b}\:+\mathrm{1}\: \\ $$$$\:\:\:\:\:\Rightarrow\:\:\:\left[\:{a}\:\:,\:\mathrm{5}{b}\:\right]_{\mathrm{lc}{m}} \:=\:\:?\: \\ $$$$ \\ $$$$ \\ $$

Question Number 201229 Answers: 1 Comments: 2

∫ (1/( (√(1+Inx))))dx

$$\int\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+\boldsymbol{{Inx}}}}\boldsymbol{{dx}} \\ $$

Question Number 201228 Answers: 0 Comments: 0

∫(√(x+(√(x+(√x))))) dx

$$\int\sqrt{\boldsymbol{{x}}+\sqrt{\boldsymbol{{x}}+\sqrt{\boldsymbol{{x}}}}}\:\boldsymbol{{dx}} \\ $$

Question Number 201227 Answers: 1 Comments: 0

∫ (((x^4 +x^7 )^(1/4) )/x^2 )dx

$$\:\int\:\frac{\left(\boldsymbol{{x}}^{\mathrm{4}} +\boldsymbol{{x}}^{\mathrm{7}} \right)^{\frac{\mathrm{1}}{\mathrm{4}}} }{\boldsymbol{{x}}^{\mathrm{2}} }\boldsymbol{{dx}} \\ $$

Question Number 201224 Answers: 2 Comments: 0

∫ (1/( (√(1+sinx))))dx

$$\int\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+\boldsymbol{{sinx}}}}\boldsymbol{{dx}} \\ $$

Question Number 201223 Answers: 1 Comments: 0

∫(√(1+(√(1+x)))) dx

$$\int\sqrt{\mathrm{1}+\sqrt{\mathrm{1}+\boldsymbol{{x}}}}\:\boldsymbol{{dx}} \\ $$

Question Number 201222 Answers: 1 Comments: 0

∫ (x^6 +x^9 )^(1/6) dx

$$\:\int\:\left(\boldsymbol{{x}}^{\mathrm{6}} +\boldsymbol{{x}}^{\mathrm{9}} \right)^{\frac{\mathrm{1}}{\mathrm{6}}} \boldsymbol{{dx}} \\ $$

Question Number 201221 Answers: 2 Comments: 0

Question Number 201214 Answers: 1 Comments: 0

A ball lies on the function z=xy at the point (1,2,2). Find the point in the xy−plane where the ball will touch it. (an unsolved old question Q200929)

$$\mathrm{A}\:\mathrm{ball}\:\mathrm{lies}\:\mathrm{on}\:\mathrm{the}\:\mathrm{function}\:{z}={xy}\:\mathrm{at} \\ $$$$\mathrm{the}\:\mathrm{point}\:\left(\mathrm{1},\mathrm{2},\mathrm{2}\right).\:\mathrm{Find}\:\mathrm{the}\:\mathrm{point}\:\mathrm{in} \\ $$$$\mathrm{the}\:{xy}−\mathrm{plane}\:\mathrm{where}\:\mathrm{the}\:\mathrm{ball}\:\mathrm{will} \\ $$$$\mathrm{touch}\:\mathrm{it}. \\ $$$$ \\ $$$$\left({an}\:{unsolved}\:{old}\:{question}\:{Q}\mathrm{200929}\right) \\ $$

Question Number 201209 Answers: 0 Comments: 4

Question Number 201200 Answers: 3 Comments: 2

Question Number 201192 Answers: 1 Comments: 0

Question Number 201190 Answers: 1 Comments: 0

Question Number 201185 Answers: 1 Comments: 0

Question Number 201172 Answers: 1 Comments: 0

Question Number 201166 Answers: 1 Comments: 0

Question Number 201162 Answers: 4 Comments: 0

Question Number 201152 Answers: 4 Comments: 0

if 4^x +4^(−x) =7 then 8^x +8^(−x) =?

$${if}\:\:\mathrm{4}^{{x}} +\mathrm{4}^{−{x}} =\mathrm{7} \\ $$$${then}\:\:\:\mathrm{8}^{{x}} +\mathrm{8}^{−{x}} =? \\ $$

Question Number 201150 Answers: 2 Comments: 0

Question Number 201149 Answers: 1 Comments: 0

Question Number 201146 Answers: 1 Comments: 4

Question Number 201144 Answers: 2 Comments: 0

(((14)/(15)))^6 ×(((45)/(28)))^6 =

$$\left(\frac{\mathrm{14}}{\mathrm{15}}\right)^{\mathrm{6}} ×\left(\frac{\mathrm{45}}{\mathrm{28}}\right)^{\mathrm{6}} = \\ $$

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