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Question Number 10142 Answers: 0 Comments: 3

Question Number 10138 Answers: 1 Comments: 0

2^(x+y) =0.125 (0.125)^(x−y) =2 ⇒ x×y=?

$$\mathrm{2}^{\mathrm{x}+\mathrm{y}} =\mathrm{0}.\mathrm{125} \\ $$$$\left(\mathrm{0}.\mathrm{125}\right)^{\mathrm{x}−\mathrm{y}} =\mathrm{2}\:\Rightarrow\:\mathrm{x}×\mathrm{y}=? \\ $$

Question Number 10137 Answers: 1 Comments: 0

lim_(x→0^+ ) ((sin x^m )/(sin^n x)) n;m ∈Z

$$\underset{{x}\rightarrow\mathrm{0}^{+} } {{lim}}\:\frac{{sin}\:{x}^{{m}} }{{sin}^{{n}} \:{x}}\:\:{n};{m}\:\in\mathbb{Z} \\ $$

Question Number 10136 Answers: 0 Comments: 0

Question Number 10133 Answers: 1 Comments: 0

((1+2^(x−y) )/(1+2^(y−x) ))=4⇒x−y=?

$$\frac{\mathrm{1}+\mathrm{2}^{\mathrm{x}−\mathrm{y}} }{\mathrm{1}+\mathrm{2}^{\mathrm{y}−\mathrm{x}} }=\mathrm{4}\Rightarrow\mathrm{x}−\mathrm{y}=? \\ $$

Question Number 10131 Answers: 1 Comments: 0

2^a =9 27^b =8 ⇒a×b=?

$$\mathrm{2}^{\mathrm{a}} =\mathrm{9} \\ $$$$\mathrm{27}^{\mathrm{b}} =\mathrm{8} \\ $$$$\Rightarrow\mathrm{a}×\mathrm{b}=? \\ $$

Question Number 10124 Answers: 1 Comments: 0

x=4^((−2)^(−1) ) y=(0.4)^(−2) ⇒ 2x+4y=?

$$\mathrm{x}=\mathrm{4}^{\left(−\mathrm{2}\right)^{−\mathrm{1}} } \\ $$$$\mathrm{y}=\left(\mathrm{0}.\mathrm{4}\right)^{−\mathrm{2}} \\ $$$$\Rightarrow\:\mathrm{2x}+\mathrm{4y}=? \\ $$

Question Number 10128 Answers: 0 Comments: 0

Question Number 10121 Answers: 0 Comments: 0

tank you

$${tank}\:{you} \\ $$

Question Number 10118 Answers: 1 Comments: 1

Let f:R→R be a function such that f(x)=x^3 +x^2 f′(1)+xf′′(2)+f′′′(3) for x∈R. 1)What is f(1) equal to? 2)What is f′(1) equal to? 3)What is f′′′(10) equal to? For this question consider the following: 1) f(2)=f(1)−f(0) 2)f′′(2)−2f′(1)=12 which is/are correct?

$${Let}\:{f}:\mathbb{R}\rightarrow\mathbb{R}\:{be}\:{a}\:{function}\:{such}\:{that} \\ $$$${f}\left({x}\right)={x}^{\mathrm{3}} +{x}^{\mathrm{2}} {f}'\left(\mathrm{1}\right)+{xf}''\left(\mathrm{2}\right)+{f}'''\left(\mathrm{3}\right) \\ $$$${for}\:{x}\in\mathbb{R}. \\ $$$$\left.\mathrm{1}\right){What}\:{is}\:{f}\left(\mathrm{1}\right)\:{equal}\:{to}? \\ $$$$\left.\mathrm{2}\right){What}\:{is}\:{f}'\left(\mathrm{1}\right)\:{equal}\:{to}? \\ $$$$\left.\mathrm{3}\right){What}\:{is}\:{f}'''\left(\mathrm{10}\right)\:{equal}\:{to}? \\ $$$${For}\:{this}\:{question}\:{consider}\:{the}\:{following}: \\ $$$$\left.\mathrm{1}\right)\:{f}\left(\mathrm{2}\right)={f}\left(\mathrm{1}\right)−{f}\left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right){f}''\left(\mathrm{2}\right)−\mathrm{2}{f}'\left(\mathrm{1}\right)=\mathrm{12} \\ $$$${which}\:{is}/{are}\:{correct}? \\ $$

Question Number 10117 Answers: 0 Comments: 1

A point is chosen at random inside a rectangle measuring 5 inches by 6 inches.What is the probability that the randomly selected point is at least 1 inch from the edge of rectangle?

$${A}\:{point}\:{is}\:{chosen}\:{at}\:{random}\:{inside} \\ $$$${a}\:{rectangle}\:{measuring}\:\mathrm{5}\:{inches} \\ $$$${by}\:\mathrm{6}\:{inches}.{What}\:{is}\:{the}\:{probability} \\ $$$${that}\:{the}\:{randomly}\:{selected}\:{point} \\ $$$${is}\:{at}\:{least}\:\mathrm{1}\:{inch}\:{from}\:{the}\:{edge}\:{of} \\ $$$${rectangle}? \\ $$

Question Number 10116 Answers: 0 Comments: 1

what is the probability of 5 sundays in the month of december?

$${what}\:{is}\:{the}\:{probability}\:{of}\:\mathrm{5}\:{sundays} \\ $$$${in}\:{the}\:{month}\:{of}\:{december}? \\ $$

Question Number 10114 Answers: 1 Comments: 0

how can demontred tan 3x=_( ) ((3tanx−tan^3 x)/(1_ −3tan^2 x)) pleace help me

$${how}\:{can}\:{demontred} \\ $$$$\mathrm{tan}\:\mathrm{3}{x}\underset{\:\:\:\:\:\:\:\:\:} {=}\frac{\mathrm{3}{tanx}−{tan}^{\mathrm{3}} {x}}{\underset{} {\mathrm{1}}−\mathrm{3}{tan}^{\mathrm{2}} {x}} \\ $$$${pleace}\:{help}\:{me} \\ $$

Question Number 10108 Answers: 1 Comments: 0

Question Number 10104 Answers: 1 Comments: 0

(a/2)=(b/5) ,(√(5a)) +(√(2b)) =16 ⇒((5a)/2)+b=?^

$$\frac{\mathrm{a}}{\mathrm{2}}=\frac{\mathrm{b}}{\mathrm{5}}\:,\sqrt{\mathrm{5a}}\:+\sqrt{\mathrm{2b}}\:=\mathrm{16} \\ $$$$\Rightarrow\frac{\mathrm{5a}}{\mathrm{2}}+\mathrm{b}=\overset{} {?} \\ $$

Question Number 10102 Answers: 2 Comments: 0

a−b=((a+b)/7)=((a×b)/(24)) ⇒a−b=?

$$\mathrm{a}−\mathrm{b}=\frac{\mathrm{a}+\mathrm{b}}{\mathrm{7}}=\frac{\mathrm{a}×\mathrm{b}}{\mathrm{24}}\:\Rightarrow\mathrm{a}−\mathrm{b}=? \\ $$

Question Number 10101 Answers: 0 Comments: 2

∫ ((z + 2)/(10z + 28)) dz

$$\int\:\frac{\mathrm{z}\:+\:\mathrm{2}}{\mathrm{10z}\:+\:\mathrm{28}}\:\mathrm{dz} \\ $$

Question Number 10095 Answers: 1 Comments: 0

Prove that f(x) = x^2 is continous at x = 2 while f(x) = {_(0 x = 2) ^(x^2 x ≠ 2) is not continous at x = 2

$$\mathrm{Prove}\:\mathrm{that}\:\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\mathrm{x}^{\mathrm{2}} \:\:\mathrm{is}\:\mathrm{continous}\:\mathrm{at}\:\mathrm{x}\:=\:\mathrm{2} \\ $$$$\mathrm{while}\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\left\{_{\mathrm{0}\:\:\:\:\:\:\:\:\:\mathrm{x}\:=\:\mathrm{2}} ^{\mathrm{x}^{\mathrm{2}} \:\:\:\:\:\:\:\mathrm{x}\:\neq\:\mathrm{2}} \:\:\:\mathrm{is}\:\mathrm{not}\:\mathrm{continous}\:\mathrm{at}\:\mathrm{x}\:=\:\mathrm{2}\right. \\ $$

Question Number 10094 Answers: 1 Comments: 0

Prove that if lim_(x→a) f_1 (x) = L_1 and lim_(x→a) f_2 (x) = L_2 then lim_(x→a) [f_1 (x)+f_2 (x)] = L_1 +L_2

$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{if}\:\:\:\underset{{x}\rightarrow\mathrm{a}} {\mathrm{lim}}\:\:\mathrm{f}_{\mathrm{1}} \left(\mathrm{x}\right)\:=\:\mathrm{L}_{\mathrm{1}} \:\:\mathrm{and}\:\: \\ $$$$\underset{{x}\rightarrow\mathrm{a}} {\mathrm{lim}}\:\:\:\mathrm{f}_{\mathrm{2}} \left(\mathrm{x}\right)\:=\:\mathrm{L}_{\mathrm{2}} \:\mathrm{then}\:\underset{{x}\rightarrow\mathrm{a}} {\mathrm{lim}}\:\left[\mathrm{f}_{\mathrm{1}} \left(\mathrm{x}\right)+\mathrm{f}_{\mathrm{2}} \left(\mathrm{x}\right)\right]\:=\:\mathrm{L}_{\mathrm{1}} +\mathrm{L}_{\mathrm{2}} \\ $$

Question Number 10091 Answers: 1 Comments: 0

((a−1)/(b−2)) =(2/3) ,((c+1)/(c−1))=(3/4) ⇒2a−c+10=?

$$\frac{\mathrm{a}−\mathrm{1}}{\mathrm{b}−\mathrm{2}}\:=\frac{\mathrm{2}}{\mathrm{3}}\:\:,\frac{\mathrm{c}+\mathrm{1}}{\mathrm{c}−\mathrm{1}}=\frac{\mathrm{3}}{\mathrm{4}} \\ $$$$\Rightarrow\mathrm{2a}−\mathrm{c}+\mathrm{10}=? \\ $$

Question Number 10082 Answers: 0 Comments: 1

(x/6)=(y/4)=(z/k)=k x+y+z=−25 k=?

$$\frac{\mathrm{x}}{\mathrm{6}}=\frac{\mathrm{y}}{\mathrm{4}}=\frac{\mathrm{z}}{\mathrm{k}}=\mathrm{k} \\ $$$$\mathrm{x}+\mathrm{y}+\mathrm{z}=−\mathrm{25} \\ $$$$\mathrm{k}=? \\ $$

Question Number 10078 Answers: 0 Comments: 1

Question Number 10076 Answers: 2 Comments: 0

3a=4b=5c 2a+3b−c=146 ⇒c=?

$$\mathrm{3a}=\mathrm{4b}=\mathrm{5c} \\ $$$$\mathrm{2a}+\mathrm{3b}−\mathrm{c}=\mathrm{146} \\ $$$$\Rightarrow\mathrm{c}=? \\ $$

Question Number 10070 Answers: 1 Comments: 0

Find the sum of the digits of , 3333333334^2

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{digits}\:\mathrm{of}\:, \\ $$$$\mathrm{3333333334}^{\mathrm{2}} \\ $$

Question Number 10069 Answers: 1 Comments: 2

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

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

Question Number 10067 Answers: 1 Comments: 0

((a×b×c)/(a+b))=−(1/2) ((a×b×c)/(b+c))=(1/2) ((a×b×c)/(a+c))=1 ⇒a×b×c=?

$$\frac{\mathrm{a}×\mathrm{b}×\mathrm{c}}{\mathrm{a}+\mathrm{b}}=−\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\frac{\mathrm{a}×\mathrm{b}×\mathrm{c}}{\mathrm{b}+\mathrm{c}}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\frac{\mathrm{a}×\mathrm{b}×\mathrm{c}}{\mathrm{a}+\mathrm{c}}=\mathrm{1} \\ $$$$\Rightarrow\mathrm{a}×\mathrm{b}×\mathrm{c}=? \\ $$$$ \\ $$$$ \\ $$

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