Question and Answers Forum

All Questions Topic List

AllQuestion and Answers: Page 1797

Question Number 30165 Answers: 0 Comments: 3

Question Number 30160 Answers: 0 Comments: 4

Question Number 30159 Answers: 1 Comments: 1

Question Number 30156 Answers: 1 Comments: 0

If x, y, z are in GP and x+3, y+3, z+3 are in HP, then

$$\mathrm{If}\:\:{x},\:{y},\:{z}\:\mathrm{are}\:\mathrm{in}\:\mathrm{GP}\:\mathrm{and}\:{x}+\mathrm{3},\:{y}+\mathrm{3},\:{z}+\mathrm{3}\:\mathrm{are} \\ $$$$\mathrm{in}\:\mathrm{HP},\:\mathrm{then} \\ $$

Question Number 30148 Answers: 2 Comments: 0

how to solve (√((c−(√(−c)))^2 ))+(√((c+6−(√(−c)))^2 )) 2<a<3, −4<b<−3, c=((a+b)/2)

$${how}\:{to}\:{solve}\:\sqrt{\left({c}−\sqrt{−{c}}\right)^{\mathrm{2}} }+\sqrt{\left({c}+\mathrm{6}−\sqrt{−{c}}\right)^{\mathrm{2}} } \\ $$$$\mathrm{2}<{a}<\mathrm{3},\:\:−\mathrm{4}<{b}<−\mathrm{3},\:\:{c}=\frac{{a}+{b}}{\mathrm{2}} \\ $$

Question Number 30129 Answers: 0 Comments: 1

Question Number 30123 Answers: 0 Comments: 3

find the convergence or divergence Σ_(n = 1) ^∞ (((n − 1)/n))

$$\mathrm{find}\:\mathrm{the}\:\mathrm{convergence}\:\mathrm{or}\:\mathrm{divergence}\:\:\:\:\:\underset{\mathrm{n}\:=\:\mathrm{1}} {\overset{\infty} {\sum}}\:\left(\frac{\mathrm{n}\:−\:\mathrm{1}}{\mathrm{n}}\right) \\ $$

Question Number 30120 Answers: 2 Comments: 1

Question Number 30119 Answers: 2 Comments: 1

Let N= 2^(1224) −1. S= 2^(153) +2^(77) +1. T= 2^(408) −2^(204) +1. then which of the following statment is correct? a) S and T both divide N. b) only S divides N. c) only T divides N. d) Neither S nor T divides N.

$$\mathrm{Let}\:\:\mathrm{N}=\:\mathrm{2}^{\mathrm{1224}} \:−\mathrm{1}. \\ $$$$\mathrm{S}=\:\mathrm{2}^{\mathrm{153}} +\mathrm{2}^{\mathrm{77}} +\mathrm{1}. \\ $$$$\mathrm{T}=\:\mathrm{2}^{\mathrm{408}} −\mathrm{2}^{\mathrm{204}} +\mathrm{1}. \\ $$$$\mathrm{then}\:\mathrm{which}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{statment}\:\mathrm{is} \\ $$$$\:\mathrm{correct}? \\ $$$$\left.\mathrm{a}\right)\:\mathrm{S}\:\mathrm{and}\:\mathrm{T}\:\mathrm{both}\:\mathrm{divide}\:\mathrm{N}. \\ $$$$\left.\mathrm{b}\right)\:\mathrm{only}\:\mathrm{S}\:\mathrm{divides}\:\mathrm{N}. \\ $$$$\left.\mathrm{c}\right)\:\mathrm{only}\:\mathrm{T}\:\mathrm{divides}\:\mathrm{N}. \\ $$$$\left.\mathrm{d}\right)\:\mathrm{Neither}\:\mathrm{S}\:\mathrm{nor}\:\mathrm{T}\:\mathrm{divides}\:\mathrm{N}. \\ $$

Question Number 30106 Answers: 1 Comments: 0

Question Number 30094 Answers: 0 Comments: 5

Question Number 30092 Answers: 1 Comments: 0

If x+(1/x)=3 find x^5 +(1/x^5 )

$${If}\:{x}+\frac{\mathrm{1}}{{x}}=\mathrm{3}\:{find}\:{x}^{\mathrm{5}} +\frac{\mathrm{1}}{{x}^{\mathrm{5}} } \\ $$

Question Number 30173 Answers: 0 Comments: 1

let u_n = Π_(k=1) ^n (1+(k/n^2 )) 1. verify that x−(x^2 /2) ≤ln(1+x)≤x 2. prove that (u_n ) is convergente and find its limit.

$${let}\:{u}_{{n}} =\:\prod_{{k}=\mathrm{1}} ^{{n}} \:\left(\mathrm{1}+\frac{{k}}{{n}^{\mathrm{2}} }\right) \\ $$$$\mathrm{1}.\:{verify}\:{that}\:{x}−\frac{{x}^{\mathrm{2}} }{\mathrm{2}}\:\leqslant{ln}\left(\mathrm{1}+{x}\right)\leqslant{x} \\ $$$$\mathrm{2}.\:{prove}\:{that}\:\left({u}_{{n}} \right)\:{is}\:{convergente}\:{and}\:{find}\:{its}\:{limit}. \\ $$

Question Number 30090 Answers: 1 Comments: 0

if ΔABC similar ΔPQR and area of ΔPQR=4area(ΔABC) then AB:PQ is

$$\mathrm{if}\:\Delta\mathrm{ABC}\:\mathrm{similar}\:\Delta\mathrm{PQR}\:\mathrm{and}\:\mathrm{area}\:\mathrm{of}\:\Delta\mathrm{PQR}=\mathrm{4area}\left(\Delta\mathrm{ABC}\right)\:\mathrm{then}\:\mathrm{AB}:\mathrm{PQ}\:\mathrm{is} \\ $$

Question Number 30089 Answers: 0 Comments: 0

prove the convergence or divergence of (((n − 1)/n))_(n = 1) ^∞

$$\mathrm{prove}\:\mathrm{the}\:\mathrm{convergence}\:\mathrm{or}\:\mathrm{divergence}\:\mathrm{of}\:\:\:\:\left(\frac{\mathrm{n}\:−\:\mathrm{1}}{\mathrm{n}}\right)_{\mathrm{n}\:=\:\mathrm{1}} ^{\infty} \\ $$

Question Number 30087 Answers: 3 Comments: 0

solve: cos3x.cos^3 x+sin 3x.sin^3 x=0.

$$\mathrm{solve}: \\ $$$$\mathrm{cos3}{x}.{cos}^{\mathrm{3}} {x}+\mathrm{sin}\:\mathrm{3}{x}.\mathrm{sin}\:^{\mathrm{3}} {x}=\mathrm{0}. \\ $$

Question Number 30079 Answers: 4 Comments: 1

Question Number 30054 Answers: 1 Comments: 0

Question Number 30049 Answers: 0 Comments: 1

find Σ_(n=1) ^∞ ((n(n+1))/3^n ) .

$${find}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{{n}\left({n}+\mathrm{1}\right)}{\mathrm{3}^{{n}} }\:. \\ $$

Question Number 30045 Answers: 1 Comments: 2

Question Number 30030 Answers: 1 Comments: 2

Question Number 30017 Answers: 1 Comments: 0

find the elements of the ellipse given the following equation 1.(x^2 /(25))+(y^2 /4)=1 2.x^2 +9y^2 =9

$$\mathrm{find}\:\mathrm{the}\:\mathrm{elements}\:\mathrm{of}\:\mathrm{the}\:\mathrm{ellipse}\:\mathrm{given}\:\mathrm{the}\:\mathrm{following}\:\mathrm{equation} \\ $$$$\mathrm{1}.\frac{\mathrm{x}^{\mathrm{2}} }{\mathrm{25}}+\frac{\mathrm{y}^{\mathrm{2}} }{\mathrm{4}}=\mathrm{1} \\ $$$$\mathrm{2}.\mathrm{x}^{\mathrm{2}} +\mathrm{9y}^{\mathrm{2}} =\mathrm{9} \\ $$

Question Number 30008 Answers: 0 Comments: 1

integrate w.r.t x ∫(e^x^2 )dx

$${integrate}\:{w}.{r}.{t}\:{x} \\ $$$$\int\left({e}^{{x}^{\mathrm{2}} } \right){dx} \\ $$

Question Number 30002 Answers: 0 Comments: 5

Question Number 29998 Answers: 0 Comments: 0

Question Number 29989 Answers: 1 Comments: 0

Pg 1792 Pg 1793 Pg 1794 Pg 1795 Pg 1796 Pg 1797 Pg 1798 Pg 1799 Pg 1800 Pg 1801

Contact: info@tinkutara.com