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AlgebraQuestion and Answers: Page 63

Question Number 191103 Answers: 1 Comments: 0

Question Number 191077 Answers: 3 Comments: 2

a^→ ∙ b^(→) = 4 b^→ ∙ c^(→) = 5 7a^(→) = 4b^(→) + 2c^(→) Find: ∣c^(→) ∣ = ?

$$\overset{\rightarrow} {\mathrm{a}}\:\centerdot\:\overset{\rightarrow} {\mathrm{b}}\:=\:\mathrm{4} \\ $$$$\overset{\rightarrow} {\mathrm{b}}\:\centerdot\:\overset{\rightarrow} {\mathrm{c}}\:=\:\mathrm{5} \\ $$$$\overset{\rightarrow} {\mathrm{7a}}\:=\:\overset{\rightarrow} {\mathrm{4b}}\:+\:\overset{\rightarrow} {\mathrm{2c}}\:\: \\ $$$$\mathrm{Find}:\:\:\:\mid\overset{\rightarrow} {\mathrm{c}}\:\mid\:=\:? \\ $$

Question Number 191061 Answers: 0 Comments: 0

Question Number 191027 Answers: 0 Comments: 0

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Question Number 191019 Answers: 1 Comments: 0

1−((1−((1−(⋰/5))/5))/5) =?

$$\mathrm{1}−\frac{\mathrm{1}−\frac{\mathrm{1}−\frac{\iddots}{\mathrm{5}}}{\mathrm{5}}}{\mathrm{5}}\:\:=? \\ $$

Question Number 190947 Answers: 1 Comments: 0

Question Number 190942 Answers: 2 Comments: 0

(x+y)(x^2 −xy+y^2 )=2 ((x^3 y^3 )/(x^9 +y^9 −8))=?

$$\left({x}+{y}\right)\left({x}^{\mathrm{2}} −{xy}+{y}^{\mathrm{2}} \right)=\mathrm{2} \\ $$$$\frac{{x}^{\mathrm{3}} {y}^{\mathrm{3}} }{{x}^{\mathrm{9}} +{y}^{\mathrm{9}} −\mathrm{8}}=? \\ $$

Question Number 190938 Answers: 1 Comments: 0

Question Number 190936 Answers: 1 Comments: 0

Determine the value of x such that e^(sinh^(−1) x) =1+e^(cosh^(−1) x)

$$\mathrm{Determine}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x}\:\mathrm{such}\:\mathrm{that} \\ $$$$\:\:\:\:\:\:\mathrm{e}^{\mathrm{sinh}\:^{−\mathrm{1}} \mathrm{x}} =\mathrm{1}+\mathrm{e}^{\mathrm{cosh}\:^{−\mathrm{1}} \mathrm{x}} \\ $$

Question Number 190935 Answers: 1 Comments: 0

Given that sinh^(−1) y=sech^(−1) y show that y^2 =(((√5)−1)/2)

$$\mathrm{G}{iven}\:{that}\:\:\:\:\:\:\:\:\mathrm{sinh}\:^{−\mathrm{1}} {y}=\mathrm{sech}\:^{−\mathrm{1}} {y}\:\:\:\: \\ $$$${show}\:{that}\:\:\:\:\:\:\:\:\:{y}^{\mathrm{2}} =\frac{\sqrt{\mathrm{5}}−\mathrm{1}}{\mathrm{2}}\:\:\: \\ $$$$ \\ $$

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Question Number 190907 Answers: 1 Comments: 0

how is explanotory solution 4^(x^2 +3x+2) +4^(x^2 +3x+7) =4^(2x^2 +6x+9) +1 x=?

$$\mathrm{how}\:\mathrm{is}\:\mathrm{explanotory}\:\mathrm{solution} \\ $$$$\mathrm{4}^{\mathrm{x}^{\mathrm{2}} +\mathrm{3x}+\mathrm{2}} +\mathrm{4}^{\mathrm{x}^{\mathrm{2}} +\mathrm{3x}+\mathrm{7}} =\mathrm{4}^{\mathrm{2x}^{\mathrm{2}} +\mathrm{6x}+\mathrm{9}} +\mathrm{1} \\ $$$$\mathrm{x}=? \\ $$

Question Number 190894 Answers: 2 Comments: 0

f(x)= mx + cos(x) , m>1 , f^( −1) (3)= 2f^( −1) (2 ) find : f ( (1/m) )= ?

$$ \\ $$$$\:\:\:\:\:{f}\left({x}\right)=\:{mx}\:+\:{cos}\left({x}\right)\:\:,\:\:{m}>\mathrm{1} \\ $$$$\:\:\:\:,\:\:\:{f}^{\:−\mathrm{1}} \left(\mathrm{3}\right)=\:\mathrm{2}{f}^{\:−\mathrm{1}} \left(\mathrm{2}\:\right) \\ $$$$\:\:\:\:\:{find}\::\:\:\:\:\:\:{f}\:\left(\:\frac{\mathrm{1}}{{m}}\:\right)=\:? \\ $$

Question Number 190893 Answers: 2 Comments: 0

if , ((sin(x)−cos(x))/(sin(x)+cos(x))) = (1/4) ⇒ find the value of F = sin^( 6) (x) + cos^( 6) (x)= ?

$$ \\ $$$$\:\:\:\:\:\:\:\:{if}\:,\:\:\frac{{sin}\left({x}\right)−{cos}\left({x}\right)}{{sin}\left({x}\right)+{cos}\left({x}\right)}\:=\:\frac{\mathrm{1}}{\mathrm{4}} \\ $$$$\:\:\:\:\:\Rightarrow\:{find}\:\:{the}\:{value}\:{of} \\ $$$$\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\mathrm{F}\:=\:{sin}^{\:\mathrm{6}} \left({x}\right)\:+\:{cos}^{\:\mathrm{6}} \left({x}\right)=\:? \\ $$$$ \\ $$

Question Number 190883 Answers: 2 Comments: 0

Elementary algebra If , x = ((1 +(√(17)))/2) ⇒ Find the value of : E = (( x^8 − x^( 7) + x^( 6) −....− x +1 )/(x^( 6) − x^( 3) + 1)) = ? @nice − mathematics

$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\mathrm{Elementary}\:\:\:\mathrm{algebra} \\ $$$$\:\:\: \\ $$$$\:\:\:\:\:\:\:\mathrm{If}\:\:,\:\:{x}\:=\:\frac{\mathrm{1}\:+\sqrt{\mathrm{17}}}{\mathrm{2}}\:\:\Rightarrow\:\:\mathrm{Find}\:\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\::\:\:\:\:\:\:\:\: \\ $$$$ \\ $$$$\:\:\:\:\:\:\mathrm{E}\:=\:\frac{\:{x}^{\mathrm{8}} −\:{x}^{\:\mathrm{7}} \:+\:{x}^{\:\mathrm{6}} −....−\:{x}\:+\mathrm{1}\:}{{x}^{\:\mathrm{6}} \:−\:{x}^{\:\mathrm{3}} \:+\:\mathrm{1}}\:=\:? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:@\mathrm{nice}\:−\:\mathrm{mathematics}\:\:\: \\ $$$$ \\ $$

Question Number 190882 Answers: 1 Comments: 2

Question Number 190820 Answers: 1 Comments: 0

Question Number 190802 Answers: 1 Comments: 0

log_x x=x^(5x−10) x=?

$${log}_{{x}} {x}={x}^{\mathrm{5}{x}−\mathrm{10}} \:\:\:\:\:{x}=? \\ $$

Question Number 190784 Answers: 0 Comments: 0

If , 0 ⇢ M′ ⇢^f M⇢^g M′′⇢0 is a short exact sequence and M′ , M′′ are two finitely generated R −modules then prove M is finitely generated. Hint: f , g are two R − homomorphism.

$$ \\ $$$$\:\:\mathrm{If}\:,\:\mathrm{0}\:\dashrightarrow\:\mathrm{M}'\:\overset{{f}} {\dashrightarrow}\mathrm{M}\overset{{g}} {\dashrightarrow}\mathrm{M}''\dashrightarrow\mathrm{0}\:\mathrm{is} \\ $$$$\:\:\:\:\mathrm{a}\:\mathrm{short}\:\mathrm{exact}\:\mathrm{sequence}\:\:\mathrm{and}\:\:\mathrm{M}'\:,\:\mathrm{M}''\:\mathrm{are} \\ $$$$\:\:\:\mathrm{two}\:\:\mathrm{finitely}\:\mathrm{generated}\:\:\mathrm{R}\:−\mathrm{modules} \\ $$$$\:\:\:\mathrm{then}\:\:\mathrm{prove}\:\:\:\mathrm{M}\:\:\mathrm{is}\:\:\mathrm{finitely}\:\mathrm{generated}.\: \\ $$$$\:\:\:\mathrm{Hint}:\:\:{f}\:\:,\:\:{g}\:\:\:{are}\:\:{two}\:\:\:{R}\:−\:{homomorphism}. \\ $$

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Question Number 190704 Answers: 1 Comments: 0

f(x+y)=f(x)+f(y)+x∙y f(4)=10 finde f(2022)=?

$${f}\left({x}+{y}\right)={f}\left({x}\right)+{f}\left({y}\right)+{x}\centerdot{y} \\ $$$${f}\left(\mathrm{4}\right)=\mathrm{10}\:\:{finde}\:{f}\left(\mathrm{2022}\right)=? \\ $$

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