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AllQuestion and Answers: Page 1707

Question Number 32889 Answers: 0 Comments: 1

Question Number 32885 Answers: 1 Comments: 0

Question Number 32878 Answers: 1 Comments: 0

A= [(α,1,1,1),(1,α,1,1),(1,1,β,1),(1,1,1,β) ]with α^2 ≠1≠β^2 det(A)=....???

$${A}=\begin{bmatrix}{\alpha}&{\mathrm{1}}&{\mathrm{1}}&{\mathrm{1}}\\{\mathrm{1}}&{\alpha}&{\mathrm{1}}&{\mathrm{1}}\\{\mathrm{1}}&{\mathrm{1}}&{\beta}&{\mathrm{1}}\\{\mathrm{1}}&{\mathrm{1}}&{\mathrm{1}}&{\beta}\end{bmatrix}{with}\:\alpha^{\mathrm{2}} \neq\mathrm{1}\neq\beta^{\mathrm{2}} \\ $$$${det}\left({A}\right)=....??? \\ $$

Question Number 32877 Answers: 1 Comments: 0

[(2,1),(0,2) ]^(2018) =.....???

$$\begin{bmatrix}{\mathrm{2}}&{\mathrm{1}}\\{\mathrm{0}}&{\mathrm{2}}\end{bmatrix}^{\mathrm{2018}} =.....??? \\ $$

Question Number 32872 Answers: 1 Comments: 0

Question Number 32870 Answers: 0 Comments: 0

Question Number 32869 Answers: 1 Comments: 1

A= (((2 0)),((1 2)) ) ;h and k are numbers so that A^2 =hA + kI,where I= (((1 0)),((0 1)) ). find the value of h and k.

$${A}=\begin{pmatrix}{\mathrm{2}\:\:\:\:\:\:\:\mathrm{0}}\\{\mathrm{1}\:\:\:\:\:\:\:\mathrm{2}}\end{pmatrix}\:;{h}\:\mathrm{and}\:{k}\:\mathrm{are}\:\mathrm{numbers}\:\mathrm{so} \\ $$$$\mathrm{that}\:\mathrm{A}^{\mathrm{2}} ={hA}\:+\:{kI},\mathrm{where}\:\mathrm{I}=\:\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\mathrm{0}}\\{\mathrm{0}\:\:\:\:\:\:\:\:\mathrm{1}}\end{pmatrix}. \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{h}\:\mathrm{and}\:{k}. \\ $$

Question Number 32850 Answers: 0 Comments: 1

evaluate ∫_0 ^π 42(2)dx

$${evaluate} \\ $$$$\int_{\mathrm{0}} ^{\pi} \mathrm{42}\left(\mathrm{2}\right){dx} \\ $$

Question Number 32868 Answers: 0 Comments: 0

Question Number 32845 Answers: 1 Comments: 0

how many moles are there in 3g of Na_2_ CO_3

$${how}\:{many}\:{moles}\:{are}\:{there}\:{in}\:\mathrm{3}{g}\:{of} \\ $$$${Na}_{\mathrm{2}_{} } {CO}_{\mathrm{3}} \\ $$

Question Number 32844 Answers: 0 Comments: 1

sketch on the x−y plain the locus of a point,P which moves such that its x and y coordinates are same. state the locus.

$${sketch}\:{on}\:{the}\:{x}−{y}\:{plain}\:{the}\:{locus} \\ $$$${of}\:{a}\:{point},{P}\:{which}\:{moves}\:{such}\:{that} \\ $$$${its}\:{x}\:{and}\:\:{y}\:{coordinates}\:{are}\:{same}. \\ $$$${state}\:{the}\:{locus}. \\ $$

Question Number 32841 Answers: 1 Comments: 0

A+B+C=180^0 3sin A +4cosB =6 3cosA + 4sin B =(√(13)) sin C=....

$${A}+{B}+{C}=\mathrm{180}^{\mathrm{0}} \\ $$$$\mathrm{3}{sin}\:{A}\:+\mathrm{4}{cosB}\:=\mathrm{6} \\ $$$$\mathrm{3}{cosA}\:+\:\mathrm{4}{sin}\:{B}\:=\sqrt{\mathrm{13}} \\ $$$${sin}\:{C}=.... \\ $$

Question Number 32837 Answers: 0 Comments: 1

the length of the line segment joining A and B is (√(10)) .Given that its double the line segment joining the points (7,n) and (6,2) find the possible values of n.

$${the}\:{length}\:{of}\:{the}\:{line}\:{segment}\:{joining} \\ $$$${A}\:{and}\:{B}\:{is}\:\sqrt{\mathrm{10}}\:.{Given}\:{that}\:{its}\:{double} \\ $$$${the}\:{line}\:{segment}\:{joining}\:{the}\:{points} \\ $$$$\left(\mathrm{7},{n}\right)\:{and}\:\left(\mathrm{6},\mathrm{2}\right)\:{find}\:{the}\:{possible}\:{values}\:{of}\:{n}. \\ $$$$ \\ $$

Question Number 32838 Answers: 2 Comments: 2

the points M(1,1),N(2,4) andR (3 ,q) lie on theresame straight line. find the coordinates of R

$${the}\:{points}\:{M}\left(\mathrm{1},\mathrm{1}\right),{N}\left(\mathrm{2},\mathrm{4}\right)\:{andR}\:\left(\mathrm{3}\:,{q}\right) \\ $$$${lie}\:{on}\:{theresame}\:{straight}\:{line}. \\ $$$${find}\:{the}\:{coordinates}\:{of}\:{R} \\ $$

Question Number 32834 Answers: 1 Comments: 0

find the value of k for which the length of the line segment joining (k^ ,2) and (−1,4) is 2(√2) units. show full working...

$${find}\:\:{the}\:{value}\:{of}\:{k}\:{for}\:{which}\:{the}\: \\ $$$${length}\:{of}\:{the}\:{line}\:{segment}\:{joining} \\ $$$$\left(\bar {{k}},\mathrm{2}\right)\:{and}\:\left(−\mathrm{1},\mathrm{4}\right)\:{is}\:\mathrm{2}\sqrt{\mathrm{2}}\:{units}. \\ $$$$\:\:\:\:{show}\:{full}\:{working}... \\ $$

Question Number 32832 Answers: 0 Comments: 0

Determine n such that 1001n+1 is perfect cube.

$$\mathrm{Determine}\:\mathrm{n}\:\mathrm{such}\:\mathrm{that}\:\mathrm{1001n}+\mathrm{1}\:\mathrm{is} \\ $$$$\mathrm{perfect}\:\mathrm{cube}. \\ $$

Question Number 32830 Answers: 0 Comments: 0

Thank you

$$\mathrm{Thank}\:\mathrm{you} \\ $$

Question Number 32810 Answers: 1 Comments: 2

Question Number 33004 Answers: 0 Comments: 3

how do i solve for x a) 2^(3−x) +2^x = 6 b) (log_3 x)^2 − 6(log_3 x) + 9=0

$${how}\:{do}\:{i}\:{solve}\: \\ $$$$\:\:\:\:{for}\:{x}\: \\ $$$$\left.{a}\right)\:\mathrm{2}^{\mathrm{3}−{x}} +\mathrm{2}^{{x}} =\:\mathrm{6} \\ $$$$\left.{b}\right)\:\left({log}_{\mathrm{3}} {x}\right)^{\mathrm{2}} \:−\:\mathrm{6}\left({log}_{\mathrm{3}} {x}\right)\:+\:\mathrm{9}=\mathrm{0} \\ $$

Question Number 32965 Answers: 0 Comments: 2

Question Number 32960 Answers: 1 Comments: 0

log_2 x+log_4 x+log_(16) x=7

$$\:\boldsymbol{\mathrm{log}}_{\mathrm{2}} \boldsymbol{{x}}+\boldsymbol{\mathrm{log}}_{\mathrm{4}} \boldsymbol{{x}}+\boldsymbol{\mathrm{log}}_{\mathrm{16}} \boldsymbol{{x}}=\mathrm{7} \\ $$

Question Number 32789 Answers: 0 Comments: 0

∣∫_a ^b f(x)dx≤∣∫_a ^b ∣f(x)∣dx∣

$$\mid\underset{{a}} {\overset{{b}} {\int}}{f}\left({x}\right){dx}\leqslant\mid\underset{{a}} {\overset{{b}} {\int}}\mid{f}\left({x}\right)\mid{dx}\mid \\ $$

Question Number 32788 Answers: 0 Comments: 1

The least positive integral value of ′x′ satisfying : (e^x −2)(sin (x+(π/4)))(x−log_e 2_ )(sinx − cosx)<0

$$\boldsymbol{{T}}{he}\:{least}\:{positive}\:{integral}\:{value}\:{of} \\ $$$$'{x}'\:{satisfying}\:: \\ $$$$\left({e}^{{x}} −\mathrm{2}\right)\left(\mathrm{sin}\:\left({x}+\frac{\pi}{\mathrm{4}}\right)\right)\left({x}−\mathrm{log}_{{e}} \:\underset{} {\mathrm{2}}\right)\left({sinx}\:−\:{cosx}\right)<\mathrm{0} \\ $$

Question Number 32785 Answers: 1 Comments: 0

∫((3x^2 +2x−4)/(7x^2 −9x+2))dx

$$\int\frac{\mathrm{3}{x}^{\mathrm{2}} +\mathrm{2}{x}−\mathrm{4}}{\mathrm{7}{x}^{\mathrm{2}} −\mathrm{9}{x}+\mathrm{2}}{dx} \\ $$

Question Number 32780 Answers: 2 Comments: 0

10−8=(p/9)

$$\mathrm{10}−\mathrm{8}=\frac{{p}}{\mathrm{9}} \\ $$

Question Number 32776 Answers: 1 Comments: 0

Find the optimum points of the function y=f(x) f(x)=2x^3 −3x^2 −36x+34

$${Find}\:{the}\:{optimum}\:{points}\:{of} \\ $$$${the}\:{function}\:{y}={f}\left({x}\right) \\ $$$$\:\:{f}\left({x}\right)=\mathrm{2}{x}^{\mathrm{3}} −\mathrm{3}{x}^{\mathrm{2}} −\mathrm{36}{x}+\mathrm{34} \\ $$

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