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Question Number 170917 Answers: 0 Comments: 0

consider g(t)=6sinc(6t) plot the spectrum DSB-LC signal S_(AM) (t)=g(t)cos(200πt)

$${consider}\:{g}\left({t}\right)=\mathrm{6}{sinc}\left(\mathrm{6}{t}\right) \\ $$$${plot}\:{the}\:{spectrum}\:{DSB}-{LC}\:{signal} \\ $$$${S}_{{AM}} \left({t}\right)={g}\left({t}\right){cos}\left(\mathrm{200}\pi{t}\right) \\ $$

Question Number 170914 Answers: 1 Comments: 3

Question Number 170912 Answers: 1 Comments: 0

In a triangle QRS, QR=14cm, RS=12cm and SQ=9cm. An incircle is drawn to touch the three sides of the triangle at X,Y,Z respectively. Find the lenghts QX, RY and SZ.

$$\boldsymbol{\mathrm{In}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{triangle}}\:\boldsymbol{{QRS}},\:\boldsymbol{{QR}}=\mathrm{14}\boldsymbol{{cm}},\:\boldsymbol{{RS}}=\mathrm{12}\boldsymbol{{cm}} \\ $$$$\boldsymbol{\mathrm{and}}\:\boldsymbol{{SQ}}=\mathrm{9}\boldsymbol{{cm}}.\:\boldsymbol{\mathrm{An}}\:\boldsymbol{\mathrm{incircle}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{drawn}}\:\boldsymbol{\mathrm{to}} \\ $$$$\boldsymbol{\mathrm{touch}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{three}}\:\boldsymbol{\mathrm{sides}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{triangle}} \\ $$$$\boldsymbol{\mathrm{at}}\:\boldsymbol{{X}},\boldsymbol{{Y}},\boldsymbol{{Z}}\:\boldsymbol{\mathrm{respectively}}.\:\boldsymbol{\mathrm{Find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{lenghts}} \\ $$$$\boldsymbol{{QX}},\:\boldsymbol{{RY}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{{SZ}}. \\ $$

Question Number 170911 Answers: 1 Comments: 0

A manufacturing company produces containers(jugs) of the same kind. Two similar containers of height 1.5cm and 8cm were selected and filled with orange juice for some athletes. Determine the quantity of orange juice in the smaller container if the bigger one contained 7liters.

$$\boldsymbol{\mathrm{A}}\:\boldsymbol{\mathrm{manufacturing}}\:\boldsymbol{\mathrm{company}}\:\boldsymbol{\mathrm{produces}} \\ $$$$\boldsymbol{\mathrm{containers}}\left(\boldsymbol{\mathrm{jugs}}\right)\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{same}}\:\boldsymbol{\mathrm{kind}}.\:\boldsymbol{\mathrm{Two}} \\ $$$$\boldsymbol{\mathrm{similar}}\:\boldsymbol{\mathrm{containers}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{height}}\:\mathrm{1}.\mathrm{5}\boldsymbol{\mathrm{cm}} \\ $$$$\boldsymbol{\mathrm{and}}\:\mathrm{8}\boldsymbol{\mathrm{cm}}\:\boldsymbol{\mathrm{were}}\:\boldsymbol{\mathrm{selected}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{filled}}\:\boldsymbol{\mathrm{with}} \\ $$$$\boldsymbol{\mathrm{orange}}\:\boldsymbol{\mathrm{juice}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{some}}\:\boldsymbol{\mathrm{athletes}}.\:\boldsymbol{\mathrm{Determine}} \\ $$$$\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{quantity}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{orange}}\:\boldsymbol{\mathrm{juice}}\:\boldsymbol{\mathrm{in}}\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{smaller}}\:\boldsymbol{\mathrm{container}}\:\boldsymbol{\mathrm{if}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{bigger}}\:\boldsymbol{\mathrm{one}} \\ $$$$\:\boldsymbol{\mathrm{contained}}\:\mathrm{7}\boldsymbol{\mathrm{liters}}. \\ $$

Question Number 170910 Answers: 0 Comments: 0

Question Number 170909 Answers: 0 Comments: 4

1!+2!+3!+....+20000!=?

$$\mathrm{1}!+\mathrm{2}!+\mathrm{3}!+....+\mathrm{20000}!=? \\ $$

Question Number 170906 Answers: 2 Comments: 0

Question Number 170904 Answers: 0 Comments: 0

show that the padel equation of the curve x = acos𝛉 −acos 2𝛉 , y = 2asin 𝛉 −asin 2𝛉 is 9(r^2 −a^2 ) = 8p^2

$$\:\:\:\boldsymbol{\mathrm{show}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{padel}}\:\boldsymbol{\mathrm{equation}}\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{{the}} \\ $$$$\:\:\:\boldsymbol{\mathrm{curve}}\:\:\:\boldsymbol{\mathrm{x}}\:=\: \boldsymbol{{a}\mathrm{cos}\theta}\:−\boldsymbol{\mathrm{acos}}\:\mathrm{2}\boldsymbol{\theta}\:\:, \\ $$$$\:\boldsymbol{\mathrm{y}}\:=\:\mathrm{2}\boldsymbol{\mathrm{a}}\mathrm{sin}\:\boldsymbol{\theta}\:−\boldsymbol{\mathrm{a}}\mathrm{sin}\:\mathrm{2}\boldsymbol{\theta}\:\:\mathrm{is}\:\mathrm{9}\left(\mathrm{r}^{\mathrm{2}} −\mathrm{a}^{\mathrm{2}} \right)\:=\:\mathrm{8}{p}^{\mathrm{2}} \\ $$

Question Number 170902 Answers: 0 Comments: 2

prove that sec((2π)/7)+sec((4π)/7)+sec((8π)/7)=−4

$${prove}\:{that} \\ $$$${sec}\frac{\mathrm{2}\pi}{\mathrm{7}}+{sec}\frac{\mathrm{4}\pi}{\mathrm{7}}+{sec}\frac{\mathrm{8}\pi}{\mathrm{7}}=−\mathrm{4} \\ $$$$ \\ $$

Question Number 170900 Answers: 0 Comments: 0

Question Number 170893 Answers: 0 Comments: 0

Question Number 170894 Answers: 0 Comments: 0

Question Number 170891 Answers: 0 Comments: 1

Question Number 170888 Answers: 0 Comments: 0

Question Number 170890 Answers: 2 Comments: 0

Find the equation of a circle which touches the line x−3y+13 = 0 and passes through the points (6, 3) and (4, −1).

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{which} \\ $$$$\mathrm{touches}\:\mathrm{the}\:\mathrm{line}\:{x}−\mathrm{3}{y}+\mathrm{13}\:=\:\mathrm{0}\: \\ $$$$\mathrm{and}\:\:\mathrm{passes}\:\mathrm{through}\:\mathrm{the}\:\mathrm{points}\:\left(\mathrm{6},\:\mathrm{3}\right) \\ $$$$\mathrm{and}\:\left(\mathrm{4},\:−\mathrm{1}\right). \\ $$

Question Number 170889 Answers: 1 Comments: 1

Question Number 170878 Answers: 1 Comments: 0

Question Number 170868 Answers: 1 Comments: 0

Solve: ∣x − 1∣ + ∣x − 2∣ ≥ 4

$$\mathrm{Solve}:\:\:\:\mid\mathrm{x}\:\:\:−\:\:\:\mathrm{1}\mid\:\:\:\:+\:\:\:\mid\mathrm{x}\:\:\:\:−\:\:\:\mathrm{2}\mid\:\:\:\:\geqslant\:\:\:\:\mathrm{4} \\ $$

Question Number 170856 Answers: 1 Comments: 2

in AB^Δ C : cos (A)+cos(B)+cos(C)=(7/4) (R/r) =?

$$ \\ $$$$\:\:{in}\:{A}\overset{\Delta} {{B}C}\::\:\:{cos}\:\left({A}\right)+{cos}\left({B}\right)+{cos}\left({C}\right)=\frac{\mathrm{7}}{\mathrm{4}} \\ $$$$\:\:\:\frac{{R}}{{r}}\:=? \\ $$

Question Number 170855 Answers: 1 Comments: 0

⌊x⌋= log_2 (4^( x) −2^( x) −1)⇒ ⌊ 4^( x) ⌋=?

$$ \\ $$$$\:\:\:\lfloor{x}\rfloor=\:{log}_{\mathrm{2}} \left(\mathrm{4}^{\:{x}} −\mathrm{2}^{\:{x}} −\mathrm{1}\right)\Rightarrow\:\lfloor\:\mathrm{4}^{\:{x}} \rfloor=? \\ $$$$ \\ $$

Question Number 181349 Answers: 0 Comments: 0

Question Number 170872 Answers: 1 Comments: 0

Question Number 170871 Answers: 1 Comments: 0

Why is it equal? (1/2)∫_0 ^π sin^(2p) udu=∫_0 ^(π/2) sin^(2p) udu

$${Why}\:{is}\:{it}\:{equal}? \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}\underset{\mathrm{0}} {\overset{\pi} {\int}}{sin}^{\mathrm{2}{p}} {udu}=\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{2}}} {\int}}{sin}^{\mathrm{2}{p}} {udu} \\ $$

Question Number 170849 Answers: 1 Comments: 0

2x+(√x)=(1/2) 8x+(1/( (√x)))=?

$$\mathrm{2}{x}+\sqrt{{x}}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\mathrm{8}{x}+\frac{\mathrm{1}}{\:\sqrt{{x}}}=? \\ $$

Question Number 170847 Answers: 0 Comments: 1

Question Number 170844 Answers: 2 Comments: 0

solve x^2 +(√(3−x))=3

$${solve}\:{x}^{\mathrm{2}} +\sqrt{\mathrm{3}−{x}}=\mathrm{3} \\ $$

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