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Question Number 169101 Answers: 1 Comments: 0

In AB^Δ C : m_b ^( 2) + m_c ^( 2) = 5 m_a ^( 2) prove that : A^( ∧) = 90^( °) m_a : ( median )

$I n A \overset{Δ}{B C} : m_{b}^{2} + m_{c}^{2} = 5 m_{a}^{2}$ $p r o v e t h a t : \overset{\land}{A} = 90^{°}$ $m_{a} : (m e d i a n)$

Question Number 169092 Answers: 1 Comments: 0

Question Number 169088 Answers: 1 Comments: 0

Question Number 169078 Answers: 1 Comments: 0

Question Number 169076 Answers: 0 Comments: 0

Question Number 169073 Answers: 2 Comments: 0

∫((3x)/((1−4x−2x^2 )^2 ))dx

$\int \frac{3 x}{{(1 - 4 x - 2 x^{2})}^{2}} d x$

Question Number 169054 Answers: 2 Comments: 0

∫((3x)/((1−4x−x^2 ))) dx

$\int \frac{3 x}{(1 - 4 x - x^{2})} d x$

Question Number 169053 Answers: 1 Comments: 0

Solve the ODE y′ + 2xy = xe^(−x^2 ) , with y(0)=1 Mastermind

$S o l v e t h e O D E$ $y^{'} + 2 x y = {x e}^{- x^{2}}, w i t h y (0) = 1$ $M a s t e r m i n d$

Question Number 169052 Answers: 1 Comments: 3

lim_(x→0) (((√((1+2x)/(1−3x))) (((1+x)/(1−x)))^(1/3) (((1+4x)/(1+3x)))^(1/4) −1)/(2x)) =?

$\lim_{x \to 0} \frac{\sqrt{\frac{1 + 2 x}{1 - 3 x}} \sqrt[3]{\frac{1 + x}{1 - x}} \sqrt[4]{\frac{1 + 4 x}{1 + 3 x}} - 1}{2 x} = ?$

Question Number 169051 Answers: 1 Comments: 4

Solve the ODE (x^2 −2)y′ + xy = 0, with y(1)=1 Mastermind

$S o l v e t h e O D E$ $(x^{2} - 2) y^{'} + x y = 0, w i t h y (1) = 1$ $M a s t e r m i n d$

Question Number 169050 Answers: 1 Comments: 0

Solve the ODE y′ + xy = x^2 , with y(0)=2 Mastermind

$S o l v e t h e O D E$ $y^{'} + x y = x^{2}, w i t h y (0) = 2$ $M a s t e r m i n d$

Question Number 169049 Answers: 1 Comments: 0

∫x^2 e^(x^2 /2) Mastermind

$\int x^{2} e^{\frac{x^{2}}{2}}$ $M a s t e r m i n d$

Question Number 169048 Answers: 0 Comments: 0

find ∫_0 ^∞ ((lnx)/(x^2 −x+2))dx

$f i n d \int_{0}^{\infty} \frac{l n x}{x^{2} - x + 2} d x$

Question Number 169044 Answers: 1 Comments: 0

does the series Σ_(n=1) ^∞ e^(−2(n−1)) sin(((nπ)/2)) is converge or diverge ?

$d o e s t h e s e r i e s \underset{n = 1}{\sum^{\infty}} e^{- 2 (n - 1)} s i n (\frac{n π}{2}) i s c o n v e r g e o r d i v e r g e ?$

Question Number 169038 Answers: 2 Comments: 1

Question Number 169042 Answers: 0 Comments: 0

Question Number 169013 Answers: 2 Comments: 1

Question Number 169009 Answers: 1 Comments: 10

Question Number 169004 Answers: 1 Comments: 3

lim_(x→(π/2)) (((sinx−1)/(x−(π/2))))=?

$\lim_{x \to \frac{π}{2}} (\frac{s i n x - 1}{x - \frac{π}{2}}) = ?$

Question Number 169000 Answers: 1 Comments: 0

Question Number 168982 Answers: 1 Comments: 1

Question Number 168980 Answers: 0 Comments: 7

Question Number 168979 Answers: 0 Comments: 0

f(x,y,z) = (3x^2 y,x^3 +y^3 , 2z) prove that the function has a potential to be determined.

$f (x, y, z) = (3 x^{2} y, x^{3} + y^{3}, 2 z)$ $prove that the function has a potential$ $to be determined .$

Question Number 168978 Answers: 1 Comments: 0

Evaluate (a) ∫((t−2)/(t−3(√(2t−4)) +2)) dt (b) ∫((3z)/((1−4z−2z^2 )^2 )) dz

$Evaluate$ $(a) \int \frac{t - 2}{t - 3 \sqrt{2 t - 4} + 2} d t$ $(b) \int \frac{3 z}{{(1 - 4 z - 2 z^{2})}^{2}} d z$

Question Number 168977 Answers: 0 Comments: 0

check that the function u(x,t) = exp{−((n^2 α^2 π^2 )/L^2 )t} sin((nπx)/L) n = 1,2,... satisfy the heat equation heat equation α^2 (∂^2 u/∂x^2 ) = (∂u/∂t), 0 < x < L

$check that the function$ $u (x, t) = \exp {- \frac{n^{2} α^{2} π^{2}}{L^{2}} t} \sin \frac{n π x}{L}$ $n = 1, 2, . . . satisfy the heat equation$ $heat equation$ $α^{2} \frac{\partial^{2} u}{\partial x^{2}} = \frac{\partial u}{\partial t}, 0 < x < L$

Question Number 168952 Answers: 1 Comments: 0

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