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AllQuestion and Answers: Page 1950

Question Number 12702 Answers: 1 Comments: 0

find ∫cos^2 2x dx

$${find}\:\int{cos}^{\mathrm{2}} \mathrm{2}{x}\:{dx} \\ $$

Question Number 12698 Answers: 0 Comments: 0

Given A^((−1)) = [((0.5 3)),((4 2)) ] find (A^2 )

$$\mathrm{Given}\:\:\:\mathrm{A}^{\left(−\mathrm{1}\right)} =\begin{bmatrix}{\mathrm{0}.\mathrm{5}\:\:\:\:\:\:\mathrm{3}}\\{\mathrm{4}\:\:\:\:\:\:\:\:\:\:\mathrm{2}}\end{bmatrix} \\ $$$$\mathrm{find}\:\left(\mathrm{A}^{\mathrm{2}} \right) \\ $$

Question Number 12697 Answers: 1 Comments: 0

y=∣x−2∣+2x−3x^2 find the largest values of the function.

$$\boldsymbol{\mathrm{y}}=\mid\boldsymbol{\mathrm{x}}−\mathrm{2}\mid+\mathrm{2}\boldsymbol{\mathrm{x}}−\mathrm{3}\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:\:\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{largest}}\:\:\boldsymbol{\mathrm{values}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{function}}. \\ $$

Question Number 12704 Answers: 1 Comments: 0

y=sin2x−x (x∈[0;𝛑]) find the range of the function.

$$\boldsymbol{\mathrm{y}}=\boldsymbol{\mathrm{sin}}\mathrm{2}\boldsymbol{\mathrm{x}}−\boldsymbol{\mathrm{x}}\:\:\left(\boldsymbol{\mathrm{x}}\in\left[\mathrm{0};\boldsymbol{\pi}\right]\right)\:\:\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{range}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{function}}. \\ $$

Question Number 12694 Answers: 0 Comments: 0

∮(x)=9^x +5×3^(−2x) the feature set of values.

$$\oint\left(\boldsymbol{\mathrm{x}}\right)=\mathrm{9}^{\boldsymbol{\mathrm{x}}} +\mathrm{5}×\mathrm{3}^{−\mathrm{2}\boldsymbol{\mathrm{x}}} \:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{feature}} \\ $$$$\boldsymbol{\mathrm{set}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{values}}. \\ $$

Question Number 12688 Answers: 1 Comments: 0

prove (((sin(x+y))/(cos xcos y)))=tan x+tan y

$$\mathrm{prove}\: \\ $$$$\left(\frac{\mathrm{sin}\left(\mathrm{x}+\mathrm{y}\right)}{\mathrm{cos}\:{x}\mathrm{cos}\:{y}}\right)=\mathrm{tan}\:{x}+\mathrm{tan}\:{y} \\ $$

Question Number 12683 Answers: 1 Comments: 0

A coil of inductance 0.12Hz and resistance 4 Ω is connected across a 240 v, 50 Hz is supplied . Calculate the current on the load (π = 3.142).

$$\mathrm{A}\:\mathrm{coil}\:\mathrm{of}\:\mathrm{inductance}\:\mathrm{0}.\mathrm{12Hz}\:\mathrm{and}\:\mathrm{resistance}\:\mathrm{4}\:\Omega\:\mathrm{is}\:\mathrm{connected}\:\mathrm{across}\:\mathrm{a}\:\mathrm{240}\:\mathrm{v},\: \\ $$$$\mathrm{50}\:\mathrm{Hz}\:\mathrm{is}\:\mathrm{supplied}\:.\:\mathrm{Calculate}\:\mathrm{the}\:\mathrm{current}\:\mathrm{on}\:\mathrm{the}\:\mathrm{load}\:\left(\pi\:=\:\mathrm{3}.\mathrm{142}\right). \\ $$

Question Number 12682 Answers: 1 Comments: 0

Question Number 12684 Answers: 1 Comments: 0

Question Number 12672 Answers: 1 Comments: 0

Question Number 12660 Answers: 0 Comments: 0

Question Number 12699 Answers: 1 Comments: 0

A man can row a boat at 4km/hr in still water.He rows the boat 2km upstream and 2km back to his starting place in 2hours.How fast is the stream moving? please help

$$\mathrm{A}\:\mathrm{man}\:\mathrm{can}\:\mathrm{row}\:\mathrm{a}\:\mathrm{boat}\:\mathrm{at}\:\mathrm{4km}/\mathrm{hr} \\ $$$$\mathrm{in}\:\mathrm{still}\:\mathrm{water}.\mathrm{He}\:\mathrm{rows}\:\mathrm{the}\:\mathrm{boat}\:\mathrm{2km} \\ $$$$\mathrm{upstream}\:\mathrm{and}\:\mathrm{2km}\:\mathrm{back}\:\mathrm{to}\:\mathrm{his} \\ $$$$\mathrm{starting}\:\mathrm{place}\:\mathrm{in}\:\mathrm{2hours}.\mathrm{How}\:\mathrm{fast} \\ $$$$\mathrm{is}\:\mathrm{the}\:\mathrm{stream}\:\mathrm{moving}? \\ $$$$ \\ $$$$ \\ $$$$\mathrm{please}\:\mathrm{help} \\ $$

Question Number 12655 Answers: 0 Comments: 0

Question Number 12651 Answers: 1 Comments: 0

find the values of x for which ((x^3 +8)/(x^2 −4 ))is discontinuous and state each kinds of dicontinuity

$${find}\:{the}\:{values}\:{of}\:{x}\:{for}\:{which}\:\frac{{x}^{\mathrm{3}} +\mathrm{8}}{{x}^{\mathrm{2}} −\mathrm{4}\:}{is}\:{discontinuous}\:{and}\:{state}\:{each}\:{kinds}\:{of}\:{dicontinuity} \\ $$

Question Number 12649 Answers: 1 Comments: 0

Question Number 12635 Answers: 2 Comments: 0

Question Number 12632 Answers: 1 Comments: 0

y=((x^2 −4x+9)/(x^2 −4x+5)) the values of the feture set of prime numbers?

$$\boldsymbol{\mathrm{y}}=\frac{\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{4}\boldsymbol{\mathrm{x}}+\mathrm{9}}{\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{4}\boldsymbol{\mathrm{x}}+\mathrm{5}}\:\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{values}}\:\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{feture}}\:\:\boldsymbol{\mathrm{set}}\:\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{prime}}\:\:\boldsymbol{\mathrm{numbers}}? \\ $$

Question Number 12631 Answers: 1 Comments: 0

Find tbe sloution set of (5/((x−3)(3+x))) > 0.

$$\:\:\mathrm{Find}\:\mathrm{tbe}\:\mathrm{sloution}\:\mathrm{set}\:\mathrm{of}\:\frac{\mathrm{5}}{\left(\mathrm{x}−\mathrm{3}\right)\left(\mathrm{3}+\mathrm{x}\right)}\:>\:\mathrm{0}. \\ $$

Question Number 12630 Answers: 1 Comments: 0

f(x)=(x^ −3)^(10) lim_(h→0) ((f(2+5h)−f(2+3h))/h)=?

$${f}\left({x}\right)=\left({x}^{} −\mathrm{3}\right)^{\mathrm{10}} \\ $$$$ \\ $$$$\underset{{h}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{f}\left(\mathrm{2}+\mathrm{5}{h}\right)−{f}\left(\mathrm{2}+\mathrm{3}{h}\right)}{{h}}=? \\ $$

Question Number 12628 Answers: 2 Comments: 0

Question Number 12626 Answers: 1 Comments: 1

2cos^2 𝛂−3sin𝛂 Find the best metaphore

$$\mathrm{2}\boldsymbol{\mathrm{cos}}^{\mathrm{2}} \boldsymbol{\alpha}−\mathrm{3}\boldsymbol{\mathrm{sin}\alpha} \\ $$$$\boldsymbol{\mathrm{Find}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{best}}\:\:\boldsymbol{\mathrm{metaphore}} \\ $$

Question Number 12623 Answers: 1 Comments: 1

Question Number 12621 Answers: 0 Comments: 1

Question Number 12620 Answers: 0 Comments: 1

𝛂x^2 +bx+c. y(1)=𝛂+b+c=3 max y(−1)=𝛂−b+c=0 min. y(5)=25𝛂+5b+c=?????

$$\boldsymbol{\alpha\mathrm{x}}^{\mathrm{2}} +\boldsymbol{\mathrm{bx}}+\boldsymbol{\mathrm{c}}. \\ $$$$\boldsymbol{\mathrm{y}}\left(\mathrm{1}\right)=\boldsymbol{\alpha}+\boldsymbol{\mathrm{b}}+\boldsymbol{\mathrm{c}}=\mathrm{3}\:\:\boldsymbol{\mathrm{max}} \\ $$$$\boldsymbol{\mathrm{y}}\left(−\mathrm{1}\right)=\boldsymbol{\alpha}−\boldsymbol{\mathrm{b}}+\boldsymbol{\mathrm{c}}=\mathrm{0}\:\:\boldsymbol{\mathrm{min}}. \\ $$$$\boldsymbol{\mathrm{y}}\left(\mathrm{5}\right)=\mathrm{25}\boldsymbol{\alpha}+\mathrm{5}\boldsymbol{\mathrm{b}}+\boldsymbol{\mathrm{c}}=????? \\ $$

Question Number 12619 Answers: 0 Comments: 1

𝛂x^2 +bx+c. y(8)=64𝛂+8b+c=0. max y(6)=36𝛂+6b+c=−12 min (√(𝛂+b+c))=???

Question Number 12613 Answers: 1 Comments: 0

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