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Question Number 31677 Answers: 1 Comments: 0

24x^3 −26x^2 +9x−1=0(solve)

$$ \\ $$$$\mathrm{24}{x}^{\mathrm{3}} −\mathrm{26}{x}^{\mathrm{2}} +\mathrm{9}{x}−\mathrm{1}=\mathrm{0}\left({solve}\right) \\ $$

Question Number 31676 Answers: 0 Comments: 0

Given function f diferensiabel on R. If lim_(x→0) f((a/x)+b) non zero lim_(x→0) [f((a/x)+b)−(a/x)f′((a/x)+b)]=a how many value lim_(x→∞) f(x)

$$\mathrm{Given}\:\mathrm{function}\:{f}\:\mathrm{diferensiabel}\:\mathrm{on}\:\boldsymbol{\mathrm{R}}. \\ $$$$\mathrm{If}\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{f}\left(\frac{{a}}{{x}}+{b}\right)\:\mathrm{non}\:\mathrm{zero} \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left[{f}\left(\frac{{a}}{{x}}+{b}\right)−\frac{{a}}{{x}}{f}'\left(\frac{{a}}{{x}}+{b}\right)\right]={a} \\ $$$$\mathrm{how}\:\mathrm{many}\:\mathrm{value}\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:{f}\left({x}\right) \\ $$

Question Number 31675 Answers: 0 Comments: 4

calculate lim_(x→∞) ∫_0 ^1 (x^n /(cos x))dx

$$\mathrm{calculate}\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}^{{n}} }{\mathrm{cos}\:{x}}{dx} \\ $$

Question Number 31674 Answers: 0 Comments: 0

let p_n (x) polinom Maclaurin for function f(x)=e^x . How many degree minimal polinom (n) so ∣e^x −p_n (x)∣≤ 10^(−2) , for −1≤x≤1?

$$\mathrm{let}\:\mathrm{p}_{{n}} \left({x}\right)\:\mathrm{polinom}\:\mathrm{Maclaurin}\:\mathrm{for} \\ $$$$\mathrm{function}\:{f}\left({x}\right)={e}^{{x}} .\:\mathrm{How}\:\mathrm{many} \\ $$$$\mathrm{degree}\:\mathrm{minimal}\:\mathrm{polinom}\:\left({n}\right)\:\mathrm{so} \\ $$$$\mid{e}^{{x}} −\mathrm{p}_{{n}} \left({x}\right)\mid\leqslant\:\mathrm{10}^{−\mathrm{2}} ,\:\mathrm{for}\:−\mathrm{1}\leqslant{x}\leqslant\mathrm{1}? \\ $$

Question Number 31673 Answers: 0 Comments: 0

let function−function f and g continues [ a, b] and diferensiabel (a, b). If f′(x)=g′(x)≠0, ∀x ∈ (a, b) and g(a)=a, g(b)=b, find value ∣f(b)−f(a)∣.

$$\mathrm{let}\:\mathrm{function}−\mathrm{function}\:{f}\:\mathrm{and}\:{g} \\ $$$$\mathrm{continues}\:\left[\:{a},\:{b}\right]\:\mathrm{and}\:\mathrm{diferensiabel} \\ $$$$\left({a},\:{b}\right).\:\mathrm{If}\:{f}'\left({x}\right)={g}'\left({x}\right)\neq\mathrm{0},\:\forall{x}\:\in\:\left({a},\:{b}\right) \\ $$$$\mathrm{and}\:{g}\left({a}\right)={a},\:{g}\left({b}\right)={b},\:\mathrm{find}\:\mathrm{value} \\ $$$$\mid{f}\left({b}\right)−{f}\left({a}\right)\mid. \\ $$

Question Number 31672 Answers: 0 Comments: 2

for what value p is a series Σ_(n=1) ^∞ ((1/n)−sin (1/n))^p convergens ?

$$\mathrm{for}\:\mathrm{what}\:\mathrm{value}\:{p}\:\mathrm{is}\:\mathrm{a}\:\mathrm{series} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(\frac{\mathrm{1}}{{n}}−\mathrm{sin}\:\frac{\mathrm{1}}{{n}}\overset{{p}} {\right)}\:\:\mathrm{convergens}\:? \\ $$

Question Number 31671 Answers: 0 Comments: 0

let f diferensiabel on continues x=a and f(a)≠ 0 lim_(n→∞) [((f(a+(1/n)))/(f(a)))]^n value is ?

$$\mathrm{let}\:{f}\:\mathrm{diferensiabel}\:\mathrm{on}\:\mathrm{continues} \\ $$$${x}={a}\:\mathrm{and}\:{f}\left({a}\right)\neq\:\mathrm{0} \\ $$$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\left[\frac{{f}\left({a}+\frac{\mathrm{1}}{{n}}\right)}{{f}\left({a}\right)}\right]^{{n}} \\ $$$$\mathrm{value}\:\mathrm{is}\:? \\ $$

Question Number 31670 Answers: 1 Comments: 0

how many roots from equation ae^x =1+x+(x^2 /2) from a>0 ?

$$\mathrm{how}\:\mathrm{many}\:\mathrm{roots}\:\mathrm{from}\:\mathrm{equation} \\ $$$${ae}^{{x}} =\mathrm{1}+{x}+\frac{{x}^{\mathrm{2}} }{\mathrm{2}} \\ $$$${from}\:{a}>\mathrm{0}\:? \\ $$

Question Number 31669 Answers: 0 Comments: 0

A={(m/n)+((8n)/m) : m, n ∈ N} N= natural numbers supremum ? infimum?

$$\mathrm{A}=\left\{\frac{{m}}{{n}}+\frac{\mathrm{8}{n}}{{m}}\::\:{m},\:{n}\:\in\:\mathrm{N}\right\}\:\mathrm{N}=\:\mathrm{natural}\:\mathrm{numbers} \\ $$$$\mathrm{supremum}\:? \\ $$$$\mathrm{infimum}? \\ $$

Question Number 31666 Answers: 1 Comments: 0

ABCD is parallelogram in whic h AB =AD =10cm,BA^Λ D=60^° . calculate the area of parallelogr m.

$${ABCD}\:{is}\:{parallelogram}\:{in}\:{whic} \\ $$$${h}\:{AB}\:={AD}\:=\mathrm{10}{cm},{B}\overset{\Lambda} {{A}D}=\mathrm{60}^{°} . \\ $$$${calculate}\:{the}\:{area}\:{of}\:{parallelogr} \\ $$$${m}. \\ $$

Question Number 32371 Answers: 2 Comments: 1

−1⟨x⟨0 (√x^2 )−(√((x+(1/x))^2 −4))=−2x+(1/x) Why?

$$−\mathrm{1}\langle{x}\langle\mathrm{0} \\ $$$$\sqrt{{x}^{\mathrm{2}} }−\sqrt{\left({x}+\frac{\mathrm{1}}{{x}}\right)^{\mathrm{2}} −\mathrm{4}}=−\mathrm{2}{x}+\frac{\mathrm{1}}{{x}} \\ $$$${Why}? \\ $$

Question Number 31648 Answers: 0 Comments: 0

Question Number 31642 Answers: 0 Comments: 1

∼ Equivalence relation (a∼b & c≁b)⇒c≁a True or false and why

$$\sim\:\mathrm{Equivalence}\:\mathrm{relation} \\ $$$$ \\ $$$$\left(\mathrm{a}\sim\mathrm{b}\:\&\:\mathrm{c}\nsim\mathrm{b}\right)\Rightarrow\mathrm{c}\nsim\mathrm{a} \\ $$$$\mathrm{True}\:\mathrm{or}\:\mathrm{false}\:\mathrm{and}\:\mathrm{why} \\ $$

Question Number 31639 Answers: 1 Comments: 0

Question Number 31628 Answers: 0 Comments: 5

Systems of particles doubt

$${Systems}\:{of}\:{particles}\:{doubt} \\ $$

Question Number 31626 Answers: 1 Comments: 0

Question Number 31620 Answers: 0 Comments: 0

Question Number 31619 Answers: 1 Comments: 0

Question Number 31611 Answers: 2 Comments: 1

Question Number 31596 Answers: 2 Comments: 2

Question Number 31595 Answers: 2 Comments: 2

Question Number 31594 Answers: 1 Comments: 0

Question Number 31591 Answers: 1 Comments: 4

Question Number 31584 Answers: 1 Comments: 0

Question Number 31583 Answers: 0 Comments: 0

how to read this ⟨x⟩. p

$${how}\:{to}\:{read}\:{this}\:\langle{x}\rangle.\:{p} \\ $$

Question Number 31579 Answers: 1 Comments: 0

Let a and b be an integer part and a decimal fraction of (√7), respectively. Then the integer part of (a/b) is?

$$\mathrm{Let}\:{a}\:\mathrm{and}\:{b}\:\mathrm{be}\:\mathrm{an}\:\mathrm{integer}\:\mathrm{part}\:\mathrm{and}\:\mathrm{a}\:\mathrm{decimal} \\ $$$$\mathrm{fraction}\:\mathrm{of}\:\sqrt{\mathrm{7}},\:\mathrm{respectively}.\:\mathrm{Then}\:\mathrm{the}\:\mathrm{integer} \\ $$$$\mathrm{part}\:\mathrm{of}\:\frac{{a}}{{b}}\:\mathrm{is}? \\ $$

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