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Question Number 46592 Answers: 2 Comments: 1

Find a solution to: 7x + 5y + 15z + 12w = 149

$$\mathrm{Find}\:\mathrm{a}\:\mathrm{solution}\:\mathrm{to}:\:\:\:\mathrm{7x}\:+\:\mathrm{5y}\:+\:\mathrm{15z}\:+\:\mathrm{12w}\:=\:\mathrm{149} \\ $$

Question Number 46586 Answers: 2 Comments: 0

Solve x ∈ R x + (x/(√(x^2 + 1))) = ((35)/(12))

$${Solve}\:\:{x}\:\:\in\:\mathbb{R} \\ $$$$\:\:\:\:\:\:\:\:\:{x}\:+\:\:\frac{{x}}{\sqrt{{x}^{\mathrm{2}} \:+\:\mathrm{1}}}\:\:=\:\:\frac{\mathrm{35}}{\mathrm{12}} \\ $$

Question Number 46576 Answers: 0 Comments: 2

Please any note on how to find the first digit, first two digit and first three digits of any power

$$\mathrm{Please}\:\mathrm{any}\:\mathrm{note}\:\mathrm{on}\:\mathrm{how}\:\mathrm{to}\:\mathrm{find}\:\mathrm{the}\:\mathrm{first}\:\mathrm{digit},\:\mathrm{first}\:\mathrm{two}\:\mathrm{digit}\:\mathrm{and}\:\mathrm{first}\:\mathrm{three}\:\mathrm{digits} \\ $$$$\mathrm{of}\:\mathrm{any}\:\mathrm{power} \\ $$

Question Number 46573 Answers: 1 Comments: 4

Show that sin2x ≡((2tanx)/(1+tan^2 x))

$${Show}\:{that}\: \\ $$$${sin}\mathrm{2}{x}\:\equiv\frac{\mathrm{2}{tanx}}{\mathrm{1}+{tan}^{\mathrm{2}} {x}} \\ $$

Question Number 46570 Answers: 1 Comments: 0

If in triangle ABC ((cosB)/b) =((cosC)/c), show that the triangle is isosceles

$${If}\:{in}\:{triangle}\:{ABC}\:\:\:\frac{{cosB}}{{b}}\:=\frac{{cosC}}{{c}},\:{show}\:{that}\:{the} \\ $$$${triangle}\:{is}\:{isosceles} \\ $$

Question Number 46569 Answers: 1 Comments: 0

show that If a^2 ,b^2 ,c^(2 ) are in A.P the cotA,cotB,cotC are also in A.P

$${show}\:{that}\:\:{If}\:{a}^{\mathrm{2}} ,{b}^{\mathrm{2}} ,{c}^{\mathrm{2}\:} \:{are}\:{in}\:{A}.{P}\:\:{the}\:{cotA},{cotB},{cotC}\:{are} \\ $$$${also}\:{in}\:{A}.{P} \\ $$

Question Number 46568 Answers: 0 Comments: 0

show that if the side of a triangle are in A.P, then the cotangent also in A.P

$${show}\:{that}\:{if}\:{the}\:{side}\:{of}\:{a}\:{triangle}\:{are}\:{in}\:{A}.{P}, \\ $$$${then}\:{the}\:{cotangent}\:{also}\:{in}\:{A}.{P} \\ $$

Question Number 46567 Answers: 0 Comments: 0

Solve: 𝚺_(n = 1) ^∞ (((log n)/n))^2

$$\mathrm{Solve}:\:\:\:\:\:\:\underset{\mathrm{n}\:=\:\mathrm{1}} {\overset{\infty} {\boldsymbol{\sum}}}\:\:\left(\frac{\mathrm{log}\:\boldsymbol{\mathrm{n}}}{\boldsymbol{\mathrm{n}}}\right)^{\mathrm{2}} \\ $$

Question Number 46563 Answers: 1 Comments: 0

lim_(x→0) (((a^x +b^x +c^x )/3))^(1/x)

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\frac{{a}^{{x}} +{b}^{{x}} +{c}^{{x}} }{\mathrm{3}}\right)^{\mathrm{1}/{x}} \\ $$

Question Number 46558 Answers: 1 Comments: 0

calculate the uncertainty in velocity of an electron which is confined in a 10^(−10 ) meter

$${calculate}\:{the}\:{uncertainty}\:{in}\:{velocity}\:{of}\:{an}\:{electron}\:{which}\:{is}\:{confined}\:{in}\:{a}\:\mathrm{10}^{−\mathrm{10}\:} {meter} \\ $$

Question Number 46553 Answers: 1 Comments: 0

Can someone please explain me how to solve a quadratic equation without the common formulas but with the sums and products method please ? Thank

$$\mathrm{Can}\:\mathrm{someone}\:\mathrm{please}\:\mathrm{explain}\:\mathrm{me}\:\mathrm{how}\:\mathrm{to} \\ $$$$\mathrm{solve}\:\mathrm{a}\:\mathrm{quadratic}\:\mathrm{equation}\:\mathrm{without}\:\mathrm{the}\: \\ $$$$\mathrm{common}\:\mathrm{formulas}\:\mathrm{but}\:\mathrm{with}\:\mathrm{the}\:\mathrm{sums}\:\mathrm{and} \\ $$$$\mathrm{products}\:\mathrm{method}\:\mathrm{please}\:? \\ $$$$\mathrm{Thank} \\ $$

Question Number 46552 Answers: 1 Comments: 2

Question Number 46549 Answers: 0 Comments: 3

is there any other maths forum apart from this?

$${is}\:{there}\:{any}\:{other}\:{maths}\:{forum}\:{apart}\:{from}\:{this}? \\ $$

Question Number 46546 Answers: 0 Comments: 7

Question Number 46542 Answers: 0 Comments: 5

pls help Find L(cos^2 t)

$${pls}\:{help}\: \\ $$$$\:\boldsymbol{{Find}}\:\boldsymbol{{L}}\left({cos}^{\mathrm{2}} {t}\right) \\ $$

Question Number 46534 Answers: 1 Comments: 0

using taylors expansion find find the value of a)tan45° 1′ b)sin30° 1′

$$\mathrm{using}\:\mathrm{taylors}\:\mathrm{expansion} \\ $$$$\mathrm{find}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of} \\ $$$$\left.\mathrm{a}\right)\mathrm{tan45}°\:\mathrm{1}'\: \\ $$$$\left.\mathrm{b}\right)\mathrm{sin30}°\:\mathrm{1}' \\ $$

Question Number 46527 Answers: 0 Comments: 5

𝚺_(n= 1) ^∞ (((log n)/n))^2 Does the series converge or diverge, help find the sum ...

$$\underset{\mathrm{n}=\:\mathrm{1}} {\overset{\infty} {\boldsymbol{\sum}}}\:\left(\frac{\mathrm{log}\:\mathrm{n}}{\mathrm{n}}\right)^{\mathrm{2}} \\ $$$$\mathrm{Does}\:\mathrm{the}\:\mathrm{series}\:\mathrm{converge}\:\mathrm{or}\:\mathrm{diverge},\:\:\mathrm{help}\:\mathrm{find}\:\mathrm{the}\:\mathrm{sum}\:... \\ $$

Question Number 46522 Answers: 0 Comments: 0

∫ x cot^(−1) (3x^2 ) tan^(−1) (6x^2 )

$$\int\:\mathrm{x}\:\mathrm{cot}^{−\mathrm{1}} \left(\mathrm{3x}^{\mathrm{2}} \right)\:\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{6x}^{\mathrm{2}} \right) \\ $$

Question Number 46502 Answers: 1 Comments: 1

∫_0 ^∞ (((sin (x))/x))dx

$$\int_{\mathrm{0}} ^{\infty} \left(\frac{\mathrm{sin}\:\left(\boldsymbol{\mathrm{x}}\right)}{\boldsymbol{\mathrm{x}}}\right)\boldsymbol{\mathrm{dx}} \\ $$

Question Number 46503 Answers: 0 Comments: 0

true or false ? θ_1 +θ_2 =90^° and m_1 ≠m_2 in elastic collision

$$\mathrm{true}\:\mathrm{or}\:\mathrm{false}\:? \\ $$$$\theta_{\mathrm{1}} +\theta_{\mathrm{2}} =\mathrm{90}^{°} \:\mathrm{and}\:\mathrm{m}_{\mathrm{1}} \neq\mathrm{m}_{\mathrm{2}} \\ $$$$\mathrm{in}\:\mathrm{elastic}\:\mathrm{collision} \\ $$

Question Number 46499 Answers: 2 Comments: 0

Question Number 46483 Answers: 1 Comments: 0

If tan^2 α tan^2 β+tan^2 β tan^2 γ+tan^2 γ tan^2 α +2tan^2 α tan^2 β tan^2 γ=1, then the value of sin^2 α+sin^2 β+sin^2 γ is

$$\mathrm{If}\:\:\mathrm{tan}^{\mathrm{2}} \alpha\:\mathrm{tan}^{\mathrm{2}} \beta+\mathrm{tan}^{\mathrm{2}} \beta\:\mathrm{tan}^{\mathrm{2}} \gamma+\mathrm{tan}^{\mathrm{2}} \gamma\:\mathrm{tan}^{\mathrm{2}} \alpha \\ $$$$+\mathrm{2tan}^{\mathrm{2}} \alpha\:\mathrm{tan}^{\mathrm{2}} \beta\:\mathrm{tan}^{\mathrm{2}} \gamma=\mathrm{1},\:\mathrm{then}\:\mathrm{the}\:\mathrm{value} \\ $$$$\mathrm{of}\:\mathrm{sin}^{\mathrm{2}} \alpha+\mathrm{sin}^{\mathrm{2}} \beta+\mathrm{sin}^{\mathrm{2}} \gamma\:\mathrm{is} \\ $$

Question Number 46482 Answers: 1 Comments: 1

Question Number 46481 Answers: 0 Comments: 3

Four spheres with radii a,b,c and d touch each other. Find the radii of their circumscribed sphere (R) and their inscribed sphere (r) in terms of a,b,c and d.

$${Four}\:{spheres}\:{with}\:{radii}\:{a},{b},{c}\:{and}\:{d} \\ $$$${touch}\:{each}\:{other}.\:{Find}\:{the}\:{radii}\:{of} \\ $$$${their}\:{circumscribed}\:{sphere}\:\left({R}\right)\:{and} \\ $$$${their}\:{inscribed}\:{sphere}\:\left({r}\right)\:{in}\:{terms}\:{of}\: \\ $$$${a},{b},{c}\:{and}\:{d}. \\ $$

Question Number 46478 Answers: 1 Comments: 1

If x^2 +y^2 +xy=1. Find range of E = x^3 y+xy^3 +4 .

$${If}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{xy}=\mathrm{1}.\:{Find}\:{range}\:{of}\: \\ $$$${E}\:=\:{x}^{\mathrm{3}} {y}+{xy}^{\mathrm{3}} +\mathrm{4}\:. \\ $$

Question Number 46475 Answers: 1 Comments: 2

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