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Question Number 196793 Answers: 1 Comments: 0

Question Number 196761 Answers: 0 Comments: 0

A tightly wound toroidal coil with a square cross section and an inner radius of 15cm has 500 turns of copper wire and carries an insulated filamentary ccurrent of 0.800A. what is the strength of the magnetic field inside the toroid at the inner radius?

$$\mathrm{A}\:\mathrm{tightly}\:\mathrm{wound}\:\mathrm{toroidal}\:\mathrm{coil}\:\mathrm{with}\:\mathrm{a}\:\mathrm{square} \\ $$$$\mathrm{cross}\:\mathrm{section}\:\mathrm{and}\:\mathrm{an}\:\mathrm{inner}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{15cm}\:\mathrm{has} \\ $$$$\mathrm{500}\:\mathrm{turns}\:\mathrm{of}\:\mathrm{copper}\:\mathrm{wire}\:\mathrm{and}\:\mathrm{carries}\:\mathrm{an}\:\mathrm{insulated} \\ $$$$\mathrm{filamentary}\:\mathrm{ccurrent}\:\mathrm{of}\:\mathrm{0}.\mathrm{800A}.\:\mathrm{what}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{strength}\:\mathrm{of}\:\mathrm{the}\:\mathrm{magnetic}\:\mathrm{field}\:\mathrm{inside}\:\mathrm{the} \\ $$$$\mathrm{toroid}\:\mathrm{at}\:\mathrm{the}\:\mathrm{inner}\:\mathrm{radius}? \\ $$

Question Number 196760 Answers: 0 Comments: 0

f: R→R f(f(x+y))=f(x)+f(y) Find f(x)=¿

$${f}:\:{R}\rightarrow{R} \\ $$$${f}\left({f}\left({x}+{y}\right)\right)={f}\left({x}\right)+{f}\left({y}\right) \\ $$$${Find}\:{f}\left({x}\right)=¿ \\ $$

Question Number 196758 Answers: 1 Comments: 0

Question Number 196757 Answers: 1 Comments: 0

Question Number 196756 Answers: 0 Comments: 0

Question Number 196755 Answers: 0 Comments: 0

Question Number 196738 Answers: 0 Comments: 13

Question Number 196735 Answers: 2 Comments: 0

Question Number 196734 Answers: 1 Comments: 0

Question Number 196728 Answers: 1 Comments: 1

Question Number 196730 Answers: 0 Comments: 0

Question Number 196725 Answers: 1 Comments: 0

Question Number 196723 Answers: 2 Comments: 0

prove that the curve (√((x−1)^2 +y^2 ))+(√((x+1)^2 +y^2 ))=4 is an ellipse and find its semi major axis and semi minor axis.

$${prove}\:{that}\:{the}\:{curve}\: \\ $$$$\sqrt{\left({x}−\mathrm{1}\right)^{\mathrm{2}} +{y}^{\mathrm{2}} }+\sqrt{\left({x}+\mathrm{1}\right)^{\mathrm{2}} +{y}^{\mathrm{2}} }=\mathrm{4}\: \\ $$$${is}\:{an}\:{ellipse}\:{and}\:{find}\:{its}\:{semi} \\ $$$${major}\:{axis}\:{and}\:{semi}\:{minor}\:{axis}. \\ $$

Question Number 196714 Answers: 3 Comments: 0

Question Number 196710 Answers: 0 Comments: 1

Give the function: f(x)=(x−1)(x−2)^2 (x−3)^3 (x−4)^4 ...(x−2022)^(2022) Find extremes of f(x)¿

$${Give}\:{the}\:{function}: \\ $$$${f}\left({x}\right)=\left({x}−\mathrm{1}\right)\left({x}−\mathrm{2}\right)^{\mathrm{2}} \left({x}−\mathrm{3}\right)^{\mathrm{3}} \left({x}−\mathrm{4}\right)^{\mathrm{4}} ...\left({x}−\mathrm{2022}\right)^{\mathrm{2022}} \\ $$$${Find}\:{extremes}\:{of}\:{f}\left({x}\right)¿ \\ $$

Question Number 196704 Answers: 0 Comments: 0

Question Number 196697 Answers: 1 Comments: 3

Question Number 196693 Answers: 0 Comments: 0

And If I want to study an abstract algebra what book would you recommend and are there any prequesties

$$ \\ $$And If I want to study an abstract algebra what book would you recommend and are there any prequesties

Question Number 196691 Answers: 0 Comments: 2

Can someone recommend Calculus book , But I prefer if the book isn't boring and have a real challenging problems not a direct consequence of what is illustrated

$$ \\ $$Can someone recommend Calculus book , But I prefer if the book isn't boring and have a real challenging problems not a direct consequence of what is illustrated

Question Number 196690 Answers: 1 Comments: 0

If (ax)^(loga) = (bx)^(logb) then prove that x = (1/(ab)) .

$$\mathrm{If}\:\left({ax}\right)^{\mathrm{log}{a}} \:=\:\left({bx}\right)^{\mathrm{log}{b}} \:\mathrm{then}\:\mathrm{prove}\:\mathrm{that} \\ $$$${x}\:=\:\frac{\mathrm{1}}{{ab}}\:. \\ $$

Question Number 196708 Answers: 0 Comments: 5

Δt=20C^(° ) change to k? plz help me

$$\Delta\mathrm{t}=\mathrm{20C}^{°\:} \mathrm{change}\:\mathrm{to}\:\mathrm{k}? \\ $$$$\mathrm{plz}\:\mathrm{help}\:\mathrm{me} \\ $$

Question Number 196705 Answers: 0 Comments: 0

lim_(n→∞) ∫_(−∞) ^( ∞) ((n!2^(2ncos(φ)) )/(Π_(k=1) ^∞ (2ne^(iφ) −k)))dφ

$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\underset{−\infty} {\overset{\:\:\:\:\infty} {\int}}\frac{{n}!\mathrm{2}^{\mathrm{2}{ncos}\left(\phi\right)} }{\underset{{k}=\mathrm{1}} {\overset{\infty} {\prod}}\left(\mathrm{2}{ne}^{{i}\phi} −{k}\right)}{d}\phi \\ $$

Question Number 196688 Answers: 1 Comments: 0

Question Number 196683 Answers: 2 Comments: 0

If y = ((e^x − e^(− x) )/(e^x + e^(− x) )) then show that x = (1/2)log_e (((1 + y)/(1 − y))).

$$\mathrm{If}\:{y}\:=\:\frac{{e}^{{x}} \:−\:{e}^{−\:{x}} }{{e}^{{x}} \:+\:{e}^{−\:{x}} }\:\mathrm{then}\:\mathrm{show}\:\mathrm{that} \\ $$$${x}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\mathrm{log}_{{e}} \left(\frac{\mathrm{1}\:+\:{y}}{\mathrm{1}\:−\:{y}}\right). \\ $$

Question Number 196682 Answers: 1 Comments: 0

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