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Question Number 114020 Answers: 3 Comments: 0

lim_(d→∞) (√(6d)) cos ((2/( (√d)))) sin ((5/( (√d)))) ?

$$\underset{{d}\rightarrow\infty} {\mathrm{lim}}\:\sqrt{\mathrm{6}{d}}\:\mathrm{cos}\:\left(\frac{\mathrm{2}}{\:\sqrt{{d}}}\right)\:\mathrm{sin}\:\left(\frac{\mathrm{5}}{\:\sqrt{{d}}}\right)\:?\: \\ $$$$ \\ $$

Question Number 113997 Answers: 2 Comments: 0

Question Number 113996 Answers: 1 Comments: 1

Question Number 113991 Answers: 1 Comments: 1

If in a △ABC, ((a^2 −b^2 )/(a^2 +b^2 )) = ((sin (A−B))/(sin (A+B))) , then the triangle is

$$\mathrm{If}\:\:\mathrm{in}\:\mathrm{a}\:\bigtriangleup{ABC},\:\frac{{a}^{\mathrm{2}} −{b}^{\mathrm{2}} }{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }\:=\:\frac{\mathrm{sin}\:\left({A}−{B}\right)}{\mathrm{sin}\:\left({A}+{B}\right)}\:, \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{triangle}\:\mathrm{is} \\ $$

Question Number 113989 Answers: 1 Comments: 0

Question Number 113986 Answers: 1 Comments: 0

The solution set of the equation 4 sin θ cos θ−2 cos θ−2 (√3) sin θ+(√3) =0 in the interval (0, 2π) is

$$\mathrm{The}\:\mathrm{solution}\:\mathrm{set}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\mathrm{4}\:\mathrm{sin}\:\theta\:\mathrm{cos}\:\theta−\mathrm{2}\:\mathrm{cos}\:\theta−\mathrm{2}\:\sqrt{\mathrm{3}}\:\mathrm{sin}\:\theta+\sqrt{\mathrm{3}}\:=\mathrm{0} \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{interval}\:\:\left(\mathrm{0},\:\mathrm{2}\pi\right)\:\:\mathrm{is} \\ $$

Question Number 113983 Answers: 2 Comments: 0

if Z_1 =1−i and Z_2 =i^4 by using demover find (Z_1 /Z_2 ) ?

$${if}\:{Z}_{\mathrm{1}} =\mathrm{1}−{i}\:{and}\:{Z}_{\mathrm{2}} ={i}^{\mathrm{4}} \:{by}\:{using}\:{demover}\:{find}\:\frac{{Z}_{\mathrm{1}} }{{Z}_{\mathrm{2}} }\:? \\ $$

Question Number 113981 Answers: 1 Comments: 0

The smallest positive root of the equation tan x−x=0, lies in

$$\mathrm{The}\:\mathrm{smallest}\:\mathrm{positive}\:\mathrm{root}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{equation}\:\:\mathrm{tan}\:{x}−{x}=\mathrm{0},\:\mathrm{lies}\:\mathrm{in} \\ $$

Question Number 113976 Answers: 0 Comments: 1

A ball of mass 0.25kg is moving to the right at a speed of 7.4m/s. it strikes a wall at 90^0 and rebounds from the wall leaving it with a speed of 5.8n/s moving to the left. Find the direction and magnitude of the change in direction

$$\mathrm{A}\:\mathrm{ball}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{0}.\mathrm{25kg}\:\mathrm{is}\:\mathrm{moving}\:\mathrm{to}\:\mathrm{the}\:\mathrm{right}\:\mathrm{at} \\ $$$$\mathrm{a}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{7}.\mathrm{4m}/\mathrm{s}.\:\mathrm{it}\:\mathrm{strikes}\:\mathrm{a}\:\mathrm{wall}\:\mathrm{at}\:\mathrm{90}^{\mathrm{0}} \mathrm{and}\: \\ $$$$\mathrm{rebounds}\:\mathrm{from}\:\mathrm{the}\:\mathrm{wall}\:\mathrm{leaving}\:\mathrm{it}\:\mathrm{with}\:\mathrm{a}\:\mathrm{speed} \\ $$$$\mathrm{of}\:\mathrm{5}.\mathrm{8n}/\mathrm{s}\:\mathrm{moving}\:\mathrm{to}\:\mathrm{the}\:\mathrm{left}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{direction}\: \\ $$$$\mathrm{and}\:\mathrm{magnitude}\:\mathrm{of}\:\mathrm{the}\:\mathrm{change}\:\mathrm{in}\:\mathrm{direction} \\ $$

Question Number 113975 Answers: 1 Comments: 0

Find the nth term: 1, 0, − 1, 0, 1, 0, − 1, 0, ...

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{nth}\:\mathrm{term}:\:\:\:\mathrm{1},\:\:\mathrm{0},\:\:−\:\mathrm{1},\:\:\mathrm{0},\:\:\mathrm{1},\:\:\mathrm{0},\:\:−\:\mathrm{1},\:\:\mathrm{0},\:\:... \\ $$

Question Number 113970 Answers: 0 Comments: 0

Question Number 113959 Answers: 1 Comments: 0

if a,b areal number such that a>b ,c<0 then (1)c.b≥c.a (2) c.b>c.a (3) c.a>c.b chouse the right answer

$${if}\:{a},{b}\:{areal}\:{number}\:{such}\:{that}\:{a}>{b}\:,{c}<\mathrm{0}\:{then}\: \\ $$$$ \\ $$$$\left(\mathrm{1}\right){c}.{b}\geqslant{c}.{a}\:\:\:\:\left(\mathrm{2}\right)\:{c}.{b}>{c}.{a}\:\:\:\:\left(\mathrm{3}\right)\:{c}.{a}>{c}.{b} \\ $$$$ \\ $$$${chouse}\:{the}\:{right}\:{answer} \\ $$

Question Number 113957 Answers: 0 Comments: 0

the sequence ........... is partial from sequence ⟨(1/(n+1))⟩_(n∈N) (1)⟨((1−n)/n)⟩ (2)⟨(1/(2n−1))⟩ (3)⟨(1/(2n))⟩ chouse the right answer

$${the}\:{sequence}\:...........\:{is}\:{partial}\:{from}\:{sequence}\:\langle\frac{\mathrm{1}}{{n}+\mathrm{1}}\rangle_{{n}\in{N}} \\ $$$$ \\ $$$$\left(\mathrm{1}\right)\langle\frac{\mathrm{1}−{n}}{{n}}\rangle\:\:\:\:\:\:\:\left(\mathrm{2}\right)\langle\frac{\mathrm{1}}{\mathrm{2}{n}−\mathrm{1}}\rangle\:\:\:\:\:\:\left(\mathrm{3}\right)\langle\frac{\mathrm{1}}{\mathrm{2}{n}}\rangle\: \\ $$$$ \\ $$$${chouse}\:{the}\:{right}\:{answer} \\ $$

Question Number 113954 Answers: 2 Comments: 1

x^y =y^x { (x),(y) :}=?

$${x}^{{y}} ={y}^{{x}} \:\:\:\: \\ $$$$\begin{cases}{\mathrm{x}}\\{\mathrm{y}}\end{cases}=? \\ $$

Question Number 113952 Answers: 2 Comments: 4

find all asymptotes of function f(x)=(((x^2 +4x−5)/(x^2 +x+3)))^(x+5)

$${find}\:{all}\:{asymptotes}\:{of}\:{function} \\ $$$${f}\left({x}\right)=\left(\frac{{x}^{\mathrm{2}} +\mathrm{4}{x}−\mathrm{5}}{{x}^{\mathrm{2}} +{x}+\mathrm{3}}\right)^{{x}+\mathrm{5}} \\ $$

Question Number 113931 Answers: 1 Comments: 2

∣ x ∣=2⇒ x=2 ∨ x=−2 OR ∣ x ∣=2⇒ x=2 ∧ x=−2 ?

$$\mid\:{x}\:\mid=\mathrm{2}\Rightarrow\:{x}=\mathrm{2}\:\vee\:{x}=−\mathrm{2} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{OR} \\ $$$$\mid\:{x}\:\mid=\mathrm{2}\Rightarrow\:{x}=\mathrm{2}\:\wedge\:{x}=−\mathrm{2} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:? \\ $$

Question Number 113929 Answers: 2 Comments: 4

∫(x+1)^2 (1−x)^5 dx

$$\int\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{1}−\mathrm{x}\right)^{\mathrm{5}} \mathrm{dx}\: \\ $$$$ \\ $$

Question Number 113928 Answers: 1 Comments: 0

Find the remainder when x^(2006) −1 is divided by x^4 +x^3 +2x^2 +x+1.

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{remainder}\:\mathrm{when}\:{x}^{\mathrm{2006}} −\mathrm{1}\: \\ $$$$\mathrm{is}\:\mathrm{divided}\:\mathrm{by}\:{x}^{\mathrm{4}} +{x}^{\mathrm{3}} +\mathrm{2}{x}^{\mathrm{2}} +{x}+\mathrm{1}. \\ $$

Question Number 113919 Answers: 2 Comments: 0

Given a set data : 2,2,3,4,5,5,5,8,8,9,11,14. find the value of Q_1

$${Given}\:{a}\:{set}\:{data}\:\: \\ $$$$:\:\mathrm{2},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{5},\mathrm{5},\mathrm{8},\mathrm{8},\mathrm{9},\mathrm{11},\mathrm{14}. \\ $$$${find}\:{the}\:{value}\:{of}\:{Q}_{\mathrm{1}} \\ $$

Question Number 113913 Answers: 3 Comments: 0

Find the square root of (√(50))+(√(48))

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{square}\:\mathrm{root}\:\mathrm{of}\:\sqrt{\mathrm{50}}+\sqrt{\mathrm{48}} \\ $$

Question Number 113910 Answers: 4 Comments: 0

(1)∫_0 ^π ((sin^4 x)/((1+cos x)^2 )) dx ? (2) lim_(x→∞) ((√(1−cos (((2π)/x))))/(1/x)) ?

$$\left(\mathrm{1}\right)\underset{\mathrm{0}} {\overset{\pi} {\int}}\:\frac{\mathrm{sin}\:^{\mathrm{4}} {x}}{\left(\mathrm{1}+\mathrm{cos}\:{x}\right)^{\mathrm{2}} }\:{dx}\:? \\ $$$$\left(\mathrm{2}\right)\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{1}−\mathrm{cos}\:\left(\frac{\mathrm{2}\pi}{{x}}\right)}}{\frac{\mathrm{1}}{{x}}}\:? \\ $$

Question Number 113907 Answers: 1 Comments: 0

∫ (√x) cos ((√x)) dx

$$\int\:\sqrt{{x}}\:\mathrm{cos}\:\left(\sqrt{{x}}\right)\:{dx} \\ $$

Question Number 113904 Answers: 1 Comments: 0

If { ((f(x)=(√(2x−5)))),((g(x)=x^2 +1)) :} find (f^(−1) ○g)^(−1) (x)

$${If}\:\begin{cases}{{f}\left({x}\right)=\sqrt{\mathrm{2}{x}−\mathrm{5}}}\\{{g}\left({x}\right)={x}^{\mathrm{2}} +\mathrm{1}}\end{cases} \\ $$$${find}\:\left({f}^{−\mathrm{1}} \circ{g}\right)^{−\mathrm{1}} \left({x}\right) \\ $$

Question Number 113901 Answers: 0 Comments: 4

when do I use ∣x∣ for (√x^2 )?

$${when}\:{do}\:{I}\:{use}\:\mid{x}\mid \\ $$$${for}\:\sqrt{{x}^{\mathrm{2}} }? \\ $$

Question Number 113897 Answers: 1 Comments: 0

Question Number 113894 Answers: 2 Comments: 1

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