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Question Number 203826 Answers: 3 Comments: 0

Evaluate (26 + 15(√3))^(1/3) + (26 − 15(√3))^(1/3)

$${Evaluate} \\ $$$$\left(\mathrm{26}\:+\:\mathrm{15}\sqrt{\mathrm{3}}\right)^{\mathrm{1}/\mathrm{3}} +\:\left(\mathrm{26}\:−\:\mathrm{15}\sqrt{\mathrm{3}}\right)^{\mathrm{1}/\mathrm{3}} \\ $$

Question Number 203825 Answers: 1 Comments: 0

A sum of 2800 is invested, partly at 5% and partly at 4%. If the total income is 128 per annum, find the amount invested at 5%.

$${A}\:{sum}\:{of}\:\mathrm{2800}\:{is}\:{invested},\:{partly}\:{at}\:\mathrm{5\%} \\ $$$${and}\:{partly}\:{at}\:\mathrm{4\%}.\:{If}\:{the}\:{total}\:{income} \\ $$$${is}\:\mathrm{128}\:{per}\:{annum},\:{find}\:{the}\:{amount} \\ $$$${invested}\:{at}\:\mathrm{5\%}. \\ $$

Question Number 203822 Answers: 3 Comments: 0

Question Number 203819 Answers: 0 Comments: 0

((∣x^2 −3x∣)/(x^2 −9)) draw up the variaton table of this function

$$\frac{\mid{x}^{\mathrm{2}} −\mathrm{3}{x}\mid}{{x}^{\mathrm{2}} −\mathrm{9}}\:\:{draw}\:{up}\:{the}\:{variaton} \\ $$$${table}\:{of}\:{this}\:{function} \\ $$

Question Number 203809 Answers: 1 Comments: 0

x^3 +y^3 +z^3 =33

$${x}^{\mathrm{3}} +{y}^{\mathrm{3}} +{z}^{\mathrm{3}} =\mathrm{33} \\ $$

Question Number 203807 Answers: 2 Comments: 0

proof : ∫_0 ^1 f^2 (t)dt=0 ⇒ f=0

$$\mathrm{proof}\::\:\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{f}^{\mathrm{2}} \left(\mathrm{t}\right)\mathrm{dt}=\mathrm{0}\:\Rightarrow\:\mathrm{f}=\mathrm{0} \\ $$

Question Number 203803 Answers: 1 Comments: 0

Question Number 203800 Answers: 1 Comments: 0

Question Number 203788 Answers: 1 Comments: 0

The sum of all possible products taken two at a time out of the numbers ±1, ±2, ±3, ±4 is (a) 0 (b) −30 (c) 30 (d) 55

$$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{all}\:\mathrm{possible}\:\mathrm{products}\:\mathrm{taken}\:\mathrm{two}\:\mathrm{at}\: \\ $$$$\mathrm{a}\:\mathrm{time}\:\:\mathrm{out}\:\mathrm{of}\:\mathrm{the}\:\mathrm{numbers}\:\pm\mathrm{1},\:\pm\mathrm{2},\:\pm\mathrm{3},\:\pm\mathrm{4}\:\mathrm{is} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{b}\right)\:−\mathrm{30}\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{c}\right)\:\mathrm{30}\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{d}\right)\:\mathrm{55} \\ $$

Question Number 203774 Answers: 2 Comments: 0

determine whether the series is convergent or divergent 𝚺_(n=1) ^∞ (n/( (√(4n^2 +1))))

$$\boldsymbol{{determine}}\:\boldsymbol{{whether}}\:\boldsymbol{{the}}\:\boldsymbol{{series}}\:\boldsymbol{{is}} \\ $$$$\boldsymbol{{convergent}}\:\boldsymbol{{or}}\:\boldsymbol{{divergent}} \\ $$$$\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\boldsymbol{\sum}}}\frac{\boldsymbol{{n}}}{\:\sqrt{\mathrm{4}\boldsymbol{{n}}^{\mathrm{2}} +\mathrm{1}}} \\ $$

Question Number 203772 Answers: 2 Comments: 0

Question Number 203771 Answers: 1 Comments: 0

Question Number 203782 Answers: 1 Comments: 3

Does a circle have side?

$${Does}\:{a}\:{circle}\:{have}\:{side}? \\ $$$$ \\ $$

Question Number 203750 Answers: 1 Comments: 0

Question Number 203747 Answers: 2 Comments: 0

Question Number 203742 Answers: 3 Comments: 0

Question Number 203736 Answers: 0 Comments: 2

A conductor of length 500cm carried a current of 0.95A when kept in a magnetic field of magnetic flux density 0.5T. Calculate the maximum force acting on it.

Question Number 203778 Answers: 3 Comments: 0

Question Number 203712 Answers: 0 Comments: 1

50 divide into to part that the mini figure (2/3) and large one is (5/7), and the sum of them is 21, find the tow figures?

$$\mathrm{50}\:{divide}\:{into}\:{to}\:{part}\:{that}\:{the}\:{mini}\: \\ $$$${figure}\:\frac{\mathrm{2}}{\mathrm{3}}\:{and}\:{large}\:{one}\:{is}\:\frac{\mathrm{5}}{\mathrm{7}},\:{and}\:{the}\: \\ $$$${sum}\:{of}\:{them}\:{is}\:\mathrm{21},\:{find}\:{the}\:{tow}\: \\ $$$${figures}? \\ $$

Question Number 203705 Answers: 1 Comments: 0

Σ_(n=0) ^(+oo) (((−1)^n )/((2n^2 −1)^2 ))

$$\underset{{n}=\mathrm{0}} {\overset{+{oo}} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} }{\left(\mathrm{2}{n}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{2}} } \\ $$

Question Number 203704 Answers: 1 Comments: 0

Q: In AB^Δ C : ( AB=AC=b ) and ( BC=a ). If , cos (A )= (a^2 /b^2 ) , then find the value of : (√((b/a) )) =?

$$ \\ $$$$\:\:\:\:\:{Q}:\:{In}\:{A}\overset{\Delta} {{B}C}\::\:\:\left(\:{AB}={AC}={b}\:\right)\:{and}\:\:\left(\:{BC}={a}\:\right).\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:{If}\:\:,\:\:{cos}\:\left({A}\:\right)=\:\frac{{a}^{\mathrm{2}} }{{b}^{\mathrm{2}} }\:,\:\:\:\:{then}\:{find}\:{the}\:{value}\:{of}\::\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\sqrt{\frac{{b}}{{a}}\:}\:=? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\: \\ $$

Question Number 203726 Answers: 2 Comments: 1

Question Number 203737 Answers: 0 Comments: 0

Question Number 203701 Answers: 2 Comments: 0

Question Number 203695 Answers: 0 Comments: 1

Question Number 203694 Answers: 1 Comments: 0

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