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Question Number 201146 Answers: 1 Comments: 4

Question Number 201144 Answers: 2 Comments: 0

(((14)/(15)))^6 ×(((45)/(28)))^6 =

${(\frac{14}{15})}^{6} \times {(\frac{45}{28})}^{6} =$

Question Number 201140 Answers: 1 Comments: 0

If R_− =x^2 yi_− −2y^2 zj_− +xy^2 z^2 k_− , find ∣(d^2 R/dx^2 )×(d^2 R/dy^2 )∣ at the point (2,1,−2)

$I f \underline{R} = x^{2} y \underline{i} - 2 y^{2} z \underline{j} + {x y}^{2} z^{2} \underline{k}, f i n d ∣ \frac{d^{2} R}{{d x}^{2}} \times \frac{d^{2} R}{{d y}^{2}} ∣$ $a t t h e p o i n t (2, 1, - 2)$

Question Number 201139 Answers: 1 Comments: 1

Question Number 201135 Answers: 1 Comments: 0

Question Number 201134 Answers: 0 Comments: 0

S : Area of AB^Δ C in AB^Δ C : (a^( 2) /(4S)) =^? (1/2) (cot(B)+cot(C)) (a^( 2) /(4S)) = (( a^( 2) )/(4 ((1/2) bc sin(A))))=((4R^2 sin^( 2) (A))/(8R^( 2) sin(B)sin(C)sin(A))) = ((sin (A ))/(2sin(B)sin(C))) =^(A+B+C=π) ((sin(B)cos(C)+cosBsin(C))/(2sin(B)sin(C))) = (1/2) (cot(B)+cot(C)) ■

$S : A r e a o f A \overset{Δ}{B C}$ $i n A \overset{Δ}{B C} : \frac{a^{2}}{4 S} \overset{?}{=} \frac{1}{2} (c o t (B) + c o t (C))$ $\frac{a^{2}}{4 S} = \frac{a^{2}}{4 (\frac{1}{2} b c s i n (A))} = \frac{4 R^{2} {s i n}^{2} (A)}{8 R^{2} s i n (B) s i n (C) s i n (A)}$ $= \frac{s i n (A)}{2 s i n (B) s i n (C)}$ $\overset{A + B + C = π}{=} \frac{s i n (B) c o s (C) + c o s B s i n (C)}{2 s i n (B) s i n (C)}$ $= \frac{1}{2} (c o t (B) + c o t (C)) ◼$

Question Number 201133 Answers: 0 Comments: 1

Ω= ∫_1 ^( 3) (( 1)/( (√((x−1 )^3 )) + (√((x+1 )^3 )))) dx= ?

$Ω = \int_{1}^{3} \frac{1}{\sqrt{{(x - 1)}^{3}} + \sqrt{{(x + 1)}^{3}}} d x = ?$

Question Number 201112 Answers: 1 Comments: 0

Question Number 201110 Answers: 1 Comments: 0

∫(1/( (√((x−a)^3 ))+(√((x+a)^3 ))))dx

$\int \frac{1}{\sqrt{{(x - a)}^{3}} + \sqrt{{(x + a)}^{3}}} d x$

Question Number 201108 Answers: 0 Comments: 6

Question Number 201106 Answers: 1 Comments: 0

calculate ... Σ_(n=1) ^∞ (( ζ(2n ))/(2^( n) .n)) = ?

$c a l c u l a t e . . .$ $\underset{n = 1}{\sum^{\infty}} \frac{ζ (2 n)}{2^{n} . n} = ?$

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?

$t w o w e e l s, t h o s e h a v e t h e s a m e m a t e r i a l s,$ $w i t h r a d i i : r_{1} = 4 a n d r_{2} = 14$ $a r e s t a r t i n g t o m o v e o n a s u r f a c e, w i t h$ $t h e s a m e v e l o c i t y, f r o m : x = 0 t o x = 20 .$ $t h e s u r f a c e h a s n o f r i c t i o n .$ $w i c h o n e a r r i v e s f a s t e r ?$ $a n y i n f o r m a t i o n s n e e d e d ?$