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Question Number 206227 Answers: 1 Comments: 0

OA=(4^x ) OB=_7 ^5 and AB=5 units

$${OA}=\left(\overset{{x}} {\mathrm{4}}\right)\:{OB}=_{\mathrm{7}} ^{\mathrm{5}} \:{and}\:{AB}=\mathrm{5}\:{units} \\ $$

Question Number 205820 Answers: 1 Comments: 0

(((√3)),(1) ) and ((1),((√3)) ) vector find θ=?

$$\begin{pmatrix}{\sqrt{\mathrm{3}}}\\{\mathrm{1}}\end{pmatrix}\:\:\mathrm{and}\:\:\begin{pmatrix}{\mathrm{1}}\\{\sqrt{\mathrm{3}}}\end{pmatrix}\:\:\:\mathrm{vector}\:\mathrm{find}\:\theta=? \\ $$

Question Number 205321 Answers: 1 Comments: 0

a^→ =i^ +3j^ +4k^ b^→ =2i^ −3j^ +4k^ c^→ =5i^ −2j^ +4k^ given that p^→ ×b^→ =b^→ ×c^→ and p^→ .b^→ =0 then the value of p^→ (i^ −j^ +k^ )is

Question Number 205164 Answers: 1 Comments: 0

Find the determinant: determinant (((1−x),2,3,…,n),(1,(2−x),3,…,n),(1,2,(3−x),…,n),(⋮,⋮,⋮,⋱,⋮),(1,2,3,…,(n−x)))

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{determinant}: \\ $$$$\begin{vmatrix}{\mathrm{1}−{x}}&{\mathrm{2}}&{\mathrm{3}}&{\ldots}&{{n}}\\{\mathrm{1}}&{\mathrm{2}−{x}}&{\mathrm{3}}&{\ldots}&{{n}}\\{\mathrm{1}}&{\mathrm{2}}&{\mathrm{3}−{x}}&{\ldots}&{{n}}\\{\vdots}&{\vdots}&{\vdots}&{\ddots}&{\vdots}\\{\mathrm{1}}&{\mathrm{2}}&{\mathrm{3}}&{\ldots}&{{n}−{x}}\end{vmatrix} \\ $$

Question Number 205156 Answers: 1 Comments: 0

Find the determinant: determinant ((5,3,0,0,…,0,0),(2,5,3,0,…,0,0),(0,2,5,3,…,0,0),(⋮,⋮,⋮,⋮,⋱,⋮,⋮),(0,0,0,0,…,5,3),(0,0,0,0,…,2,5))

Question Number 204509 Answers: 0 Comments: 0

Question Number 203419 Answers: 0 Comments: 4

Question Number 202035 Answers: 0 Comments: 0

Question Number 201526 Answers: 1 Comments: 0

Question Number 201135 Answers: 1 Comments: 0

Question Number 201107 Answers: 0 Comments: 6

two weels, those have the same materials, with radii:r_1 =4 and r_2 =14 are starting to move on a surface,with the same velocity,from:x=0 to x=20. the surface has no friction. wich one arrives faster? any informations needed?

$${two}\:{weels},\:{those}\:{have}\:{the}\:{same}\:{materials}, \\ $$$${with}\:{radii}:\boldsymbol{{r}}_{\mathrm{1}} =\mathrm{4}\:{and}\:\boldsymbol{{r}}_{\mathrm{2}} =\mathrm{14} \\ $$$${are}\:{starting}\:{to}\:{move}\:{on}\:{a}\:{surface},{with} \\ $$$${the}\:{same}\:{velocity},{from}:\boldsymbol{{x}}=\mathrm{0}\:{to}\:\boldsymbol{{x}}=\mathrm{20}. \\ $$$${the}\:{surface}\:{has}\:{no}\:{friction}. \\ $$$${wich}\:{one}\:{arrives}\:{faster}? \\ $$$${any}\:{informations}\:{needed}? \\ $$

Question Number 200787 Answers: 0 Comments: 0

Question Number 200786 Answers: 0 Comments: 0

Question Number 199218 Answers: 0 Comments: 0

in a triangle nmmm5gfkl

$$\mathrm{in}\:\mathrm{a}\:\mathrm{triangle}\: \\ $$$$\mathrm{nmmm5gfkl} \\ $$$$\: \\ $$$$ \\ $$$$ \\ $$

Question Number 197550 Answers: 1 Comments: 0

Calcul I=∫^( (π/2)) _( 0) ((ln(cost))/(1+sin^2 t))dt

$$\mathrm{Calcul}\:\:\:\mathrm{I}=\underset{\:\mathrm{0}} {\int}^{\:\frac{\pi}{\mathrm{2}}} \frac{\mathrm{ln}\left(\mathrm{cost}\right)}{\mathrm{1}+\mathrm{sin}^{\mathrm{2}} \mathrm{t}}\mathrm{dt} \\ $$

Question Number 196145 Answers: 1 Comments: 0

Calculer ∫^( +∞) _( (1/α)) e^(−αt^2 +2t) dt

$$\mathrm{Calculer}\:\underset{\:\frac{\mathrm{1}}{\alpha}} {\int}^{\:+\infty} {e}^{−\alpha{t}^{\mathrm{2}} +\mathrm{2}{t}} {dt} \\ $$

Question Number 195722 Answers: 0 Comments: 3

Question Number 195165 Answers: 0 Comments: 1

If r_1 ^(→) =(sinθ,cosθ,θ), r_2 ^(→) =(cosθ,−sinθ,−3) and r_3 ^(→) =(2,3,−1), find (d/dθ){r_1 ^(→) ×(r_2 ^(→) ×r_3 ^(→) )} at θ=0

$$\mathrm{If}\:\overset{\rightarrow} {\mathrm{r}_{\mathrm{1}} }=\left(\mathrm{sin}\theta,\mathrm{cos}\theta,\theta\right),\:\overset{\rightarrow} {\mathrm{r}_{\mathrm{2}} }=\left(\mathrm{cos}\theta,−\mathrm{sin}\theta,−\mathrm{3}\right)\:\mathrm{and} \\ $$$$\:\overset{\rightarrow} {\mathrm{r}_{\mathrm{3}} }=\left(\mathrm{2},\mathrm{3},−\mathrm{1}\right),\:\mathrm{find}\:\frac{\mathrm{d}}{\mathrm{d}\theta}\left\{\overset{\rightarrow} {\mathrm{r}_{\mathrm{1}} }×\left(\overset{\rightarrow} {\mathrm{r}_{\mathrm{2}} }×\overset{\rightarrow} {\mathrm{r}_{\mathrm{3}} }\right)\right\}\:\mathrm{at}\:\theta=\mathrm{0} \\ $$

Question Number 194602 Answers: 1 Comments: 0

A ball is thrown vertically upwards with a velocity of 10m/s from a point 75 m above the ground. Calculate the velocity with which it hits the ground.

$$ \\ $$A ball is thrown vertically upwards with a velocity of 10m/s from a point 75 m above the ground. Calculate the velocity with which it hits the ground.

Question Number 194600 Answers: 1 Comments: 0

An object is pulled up a smooth plane inclined at angle 45° to the horizontal. If the plane is 25 m long and the object comes to rest at the top, correct to two decimal places the: (i) initial speed of the object (ii) time taken to reach the top.

$$ \\ $$An object is pulled up a smooth plane inclined at angle 45° to the horizontal. If the plane is 25 m long and the object comes to rest at the top, correct to two decimal places the: (i) initial speed of the object (ii) time taken to reach the top.

Question Number 193809 Answers: 0 Comments: 0

A(-1, 2), B(3, 5) and C(4, 8) are the vertices of triangle ABC. Forces whose magnitudes are 5N and 3√10N act along (AB) ⃗ and (CB) ⃗ respectively. Find the direction of the resultant of the forces.

Question Number 190702 Answers: 0 Comments: 0

Calcule: I=∫_o ^(𝛑/3) x^2 (sinx)^2 dx

$$\boldsymbol{\mathrm{Calcule}}:\:\:\boldsymbol{\mathrm{I}}=\int_{\boldsymbol{\mathrm{o}}} ^{\frac{\boldsymbol{\pi}}{\mathrm{3}}} \boldsymbol{\mathrm{x}}^{\mathrm{2}} \left(\boldsymbol{\mathrm{sinx}}\right)^{\mathrm{2}} \boldsymbol{\mathrm{dx}} \\ $$

Question Number 190283 Answers: 0 Comments: 0

calculate laplace transform L { (( e^( −(1/x)) )/( (√x) )) } = ?

$$ \\ $$$$\:\:{calculate} \\ $$$$ \\ $$$$\:\:\:\:{laplace}\:\:{transform}\:\: \\ $$$$\:\:\:\:\:\:\:\mathscr{L}\:\:\:\left\{\:\:\frac{\:{e}^{\:−\frac{\mathrm{1}}{{x}}} }{\:\sqrt{{x}}\:}\:\:\right\}\:=\:?\: \\ $$$$ \\ $$

Question Number 190186 Answers: 0 Comments: 1

determinant ((( If , Ω= ∫_0 ^( (π/2)) (( 4cos^( 2) (4x))/(3(1+sin^( 2) (2x ))))dx= a(√2) + b ))) ⇒ Find the value of , a− b=?

$$ \\ $$$$\:\:\:\:\begin{array}{|c|}{\:\:\:\:\:\:\:\:\:\mathrm{If}\:\:,\:\Omega=\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \:\frac{\:\mathrm{4cos}^{\:\mathrm{2}} \:\left(\mathrm{4}{x}\right)}{\mathrm{3}\left(\mathrm{1}+\mathrm{sin}^{\:\mathrm{2}} \left(\mathrm{2}{x}\:\right)\right)}\mathrm{d}{x}=\:{a}\sqrt{\mathrm{2}}\:\:+\:{b}\:\:\:\:\:\:\:\:\:\:}\\\hline\end{array}\:\:\:\:\:\:\:\:\: \\ $$$$ \\ $$$$\:\:\:\:\:\:\Rightarrow\:\:\mathrm{Find}\:\:\mathrm{the}\:\:\mathrm{value}\:\mathrm{of}\:\:\:,\:\:{a}−\:{b}=? \\ $$$$ \\ $$

Question Number 188295 Answers: 0 Comments: 0

let S be the sets be the sequences of lenght 2018 whose terms are in the sets {1,2,3,4,5,6,10} and sum to 3860. prove that the cardinality of S is at most 2^(3860) ∙( ((2018)/(2048)))^(2018)

$$ \\ $$$$\:\:\:\:\boldsymbol{{let}}\:\:\boldsymbol{{S}}\:\boldsymbol{{be}}\:\boldsymbol{{the}}\:\boldsymbol{{sets}}\:\boldsymbol{{be}}\:\boldsymbol{{the}}\:\boldsymbol{{sequences}}\:\boldsymbol{{of}}\:\boldsymbol{{lenght}}\:\mathrm{2018}\:\:\: \\ $$$$\:\:\:\boldsymbol{{whose}}\:\boldsymbol{{terms}}\:\boldsymbol{{are}}\:\boldsymbol{{in}}\:\boldsymbol{{the}}\:\boldsymbol{{sets}}\:\left\{\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{6},\mathrm{10}\right\}\:\boldsymbol{{and}}\:\boldsymbol{{sum}}\:\boldsymbol{{to}}\:\mathrm{3860}.\:\:\: \\ $$$$\:\:\:\:\boldsymbol{{prove}}\:\boldsymbol{{that}}\:\boldsymbol{{the}}\:\boldsymbol{{cardinality}}\:\boldsymbol{{of}}\:\boldsymbol{{S}}\:\boldsymbol{{is}}\:\boldsymbol{{at}}\:\boldsymbol{{most}}\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2}^{\mathrm{3860}} \centerdot\left(\:\frac{\mathrm{2018}}{\mathrm{2048}}\right)^{\mathrm{2018}} \\ $$$$ \\ $$$$\:\:\:\: \\ $$

Question Number 188294 Answers: 0 Comments: 0

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