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Question Number 150881 Answers: 1 Comments: 0

y = ((a/b))^x ∙ ((b/x))^a ∙ ((x/a))^b ⇒ y^′ = ?

$y = {(\frac{a}{b})}^{x} \cdot {(\frac{b}{x})}^{a} \cdot {(\frac{x}{a})}^{b} \Rightarrow y^{^{'}} = ?$

Question Number 150880 Answers: 2 Comments: 0

if a;b;c>0 and a+b+c=1 find min((1/a) + (9/b) + ((25)/c)) = ? a)73 b)75 c)105 d)81 e)83

$if a; b; c > 0 and a + b + c = 1$ $find \min (\frac{1}{a} + \frac{9}{b} + \frac{25}{c}) = ?$ $a) 7 3 b) 75 c) 105 d) 81 e) 83$

Question Number 150876 Answers: 0 Comments: 0

Question Number 150865 Answers: 0 Comments: 0

Im{f'(z)} = 6x(2y-1) and f(0) = 3 - 2i, f(1) = 6 - 5i. Find f(2 + i)

Question Number 150864 Answers: 1 Comments: 0

Question Number 150862 Answers: 0 Comments: 0

Question Number 150861 Answers: 1 Comments: 0

Find the solution of : {_(x^2 +3xy+2y^2 −4 = 0) ^(2x^2 −2xy−3y^2 +7 = 0) Please show your working...

$F i n d t h e s o l u t i o n o f :$ ${_{x^{2} + 3 x y + 2 y^{2} - 4 = 0}^{2 x^{2} - 2 x y - 3 y^{2} + 7 = 0}$ $P l e a s e s h o w y o u r w o r k i n g . . .$

Question Number 150859 Answers: 0 Comments: 0

Question Number 150853 Answers: 0 Comments: 2

log_(2021) (√(x : (√(x : (√(x :..)))))) = 674 find x=?

$\log_{2021} \sqrt{x : \sqrt{x : \sqrt{x : . .}}} = 674$ $find x = ?$

Question Number 150852 Answers: 0 Comments: 0

x;y;z>0 and x^2 +y^2 +z^2 =3 prove that xyz ≤ (((x + y + z - 1)/2))^2 ≤ 1

$x; y; z > 0 and x^{2} + y^{2} + z^{2} = 3 prove that$ $xyz ⩽ {(\frac{x + y + z - 1}{2})}^{2} ⩽ 1$

Question Number 150841 Answers: 2 Comments: 0

∫_( 0) ^( ∞) ((ln(1+a^2 x^2 ))/(1+b^2 x^2 )) dx = ?

$\underset{0}{\int^{\infty}} \frac{\ln (1 + a^{2} x^{2})}{1 + b^{2} x^{2}} dx = ?$

Question Number 150840 Answers: 1 Comments: 0

∫_( 0) ^( ∞) ((arctan(x))/(x(x^2 +x+1))) dx = ?

$\underset{0}{\int^{\infty}} \frac{\arctan (x)}{x (x^{2} + x + 1)} dx = ?$

Question Number 150839 Answers: 2 Comments: 0

e^x + y = x^2 y^2 find the expression for (dy/dx)

$e^{x} + y = x^{2} y^{2}$ $find the expression for \frac{dy}{dx}$

Question Number 150838 Answers: 1 Comments: 0

Question Number 150828 Answers: 2 Comments: 0

∫_0 ^( ∞) (( sin^( 2) (x ))/(x(√x))) dx=^? (√π)

$\int_{0}^{\infty} \frac{{s i n}^{2} (x)}{x \sqrt{x}} d x \overset{?}{=} \sqrt{π}$

Question Number 150827 Answers: 0 Comments: 0

Question Number 150807 Answers: 5 Comments: 0

For matris solution: { ((2x - 3y = 8)),((x + 5y = - 9)) :}

$For matris solution :$ ${\begin{cases} 2 x - 3 y = 8 \\ x + 5 y = - 9 \end{cases}$

Question Number 150946 Answers: 0 Comments: 0

Question Number 150944 Answers: 4 Comments: 3

Question Number 150804 Answers: 1 Comments: 0

Question Number 150794 Answers: 0 Comments: 0

Question Number 150793 Answers: 0 Comments: 2

(R−r)^2 + R^2 = (R + r)^2 ⇔ R^2 + r^2 −2rR + R^2 = R^2 + r^2 +2rR ⇒ R^2 = 4rR ⇒ r = (R/4) = 1cm A_S = πr^2 = π×1cm^2 = πcm^2

${(R - r)}^{2} + R^{2} = {(R + r)}^{2} \Leftrightarrow$ $R^{2} + r^{2} - 2 r R + R^{2} = R^{2} + r^{2} + 2 r R \Rightarrow$ $R^{2} = 4 r R \Rightarrow r = \frac{R}{4} = 1 c m$ $A_{S} = π r^{2} = π \times 1 {c m}^{2} = π {c m}^{2}$

Question Number 150789 Answers: 1 Comments: 0

Question Number 150786 Answers: 1 Comments: 0

Question Number 150801 Answers: 0 Comments: 5

Question Number 150797 Answers: 2 Comments: 0

x;y∈N ((18^((x^2 + y^2 )/2) )/9^(xy) ) = 2592 ⇒ find xy=?

$x; y \in N$ $\frac{18^{\frac{x^{2} + y^{2}}{2}}}{9^{xy}} = 2592 \Rightarrow find xy = ?$

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