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Question Number 61954 Answers: 0 Comments: 1

Question Number 61952 Answers: 1 Comments: 1

Question Number 61948 Answers: 0 Comments: 0

The vectors a, b, c are equal in length and taken pairwise, they make equal angles. If a=i+j, b=j+k and c makes an obtuse angle with X−axis, then c=

$The vectors a, b, c are equal in length$ $and taken pairwise, they make equal$ $angles . If a = i + j, b = j + k and c makes$ $an obtuse angle with X - axis, then c =$

Question Number 61938 Answers: 0 Comments: 0

Question Number 61937 Answers: 1 Comments: 5

find the value of Σ_(n = 0) ^∞ ((n^3 + 5)/(n!))

$find the value of \underset{n = 0}{\sum^{\infty}} \frac{n^{3} + 5}{n!}$

Question Number 61934 Answers: 1 Comments: 2

Answer: 0^0 =?

$Answer : 0^{0} = ?$

Question Number 61923 Answers: 1 Comments: 0

Find all solutions of x^3 − 12x + 8 = 0

$F i n d a l l s o l u t i o n s o f$ $x^{3} - 12 x + 8 = 0$

Question Number 61922 Answers: 1 Comments: 3

Find the value of: Σ_(n = 1) ^∞ ((n^2 + 1)/(n + 2)). (x^n /(n!))

$Find the value of : \underset{n = 1}{\sum^{\infty}} \frac{n^{2} + 1}{n + 2} . \frac{x^{n}}{n!}$

Question Number 61921 Answers: 1 Comments: 1

let A =∫_(−∞) ^(+∞) ((x+1)/((x^2 +x+1)( x^2 −2i)))dx 1) calculate A 2) extract Re(A) and Im(A) and determine its values (i^2 =−1)

$l e t A = \int_{- \infty}^{+ \infty} \frac{x + 1}{(x^{2} + x + 1) (x^{2} - 2 i)} d x$ $1) c a l c u l a t e A$ $2) e x t r a c t R e (A) a n d I m (A) a n d d e t e r m i n e i t s v a l u e s (i^{2} = - 1)$

Question Number 61915 Answers: 1 Comments: 0

1+iw+(iw)^2 +(iw)^3 +.........(iw)^(989) =? ans= (2/(1−iw)) answer is correct. pls help .. how to do this? TIA

$1 + i w + {(i w)}^{2} + {(i w)}^{3} + . . . . . . . . . {(i w)}^{989} = ?$ $a n s = \frac{2}{1 - i w} a n s w e r i s c o r r e c t .$ $p l s h e l p . . h o w t o d o t h i s ?$ $T I A$

Question Number 61912 Answers: 0 Comments: 1

Question Number 61907 Answers: 1 Comments: 1

Question Number 61986 Answers: 1 Comments: 0

Find the area bounded by y(x+2)=x^4 , x=0,y=0 and x=3

$F i n d t h e a r e a b o u n d e d b y y (x + 2) = x^{4},$ $x = 0, y = 0 a n d x = 3$

Question Number 61902 Answers: 0 Comments: 3

Question Number 61895 Answers: 0 Comments: 3

let A = (((1 −1)),((0 1)) ) 1) calculate A^n 2) find e^A ,e^(−A) 3) determine e^(iA) then cosA and sinA .

$l e t A = (\begin{matrix} 1 - 1 \\ 0 1 \end{matrix})$ $1) c a l c u l a t e A^{n}$ $2) f i n d e^{A}, e^{- A}$ $3) d e t e r m i n e e^{i A} t h e n c o s A a n d s i n A .$

Question Number 61892 Answers: 0 Comments: 1

(1/4) of (2/5)

$\frac{1}{4} of \frac{2}{5}$

Question Number 61886 Answers: 1 Comments: 0

a+bi=((2+i)/(1−i)) find 2(a^2 +b^2 )

$a + b i = \frac{2 + i}{1 - i}$ $f i n d$ $2 (a^{2} + b^{2})$

Question Number 61885 Answers: 0 Comments: 0

let I =∫_(−∞) ^(+∞) (dx/((x+i)^n )) and J =∫_(−∞) ^(+∞) (dx/((x−i)^n )) 1) calculate I and J interms of n 2) find thevalue of integral A_n =∫_(−∞) ^(+∞) (( cos(narctan((1/x))))/((1+x^2 )^(n/2) ))dx

$l e t I = \int_{- \infty}^{+ \infty} \frac{d x}{{(x + i)}^{n}} a n d J = \int_{- \infty}^{+ \infty} \frac{d x}{{(x - i)}^{n}}$ $1) c a l c u l a t e I a n d J i n t e r m s o f n$ $2) f i n d t h e v a l u e o f i n t e g r a l$ $A_{n} = \int_{- \infty}^{+ \infty} \frac{c o s (n a r c t a n (\frac{1}{x}))}{{(1 + x^{2})}^{\frac{n}{2}}} d x$

Question Number 61884 Answers: 0 Comments: 3

let f_n (a) =∫_(−∞) ^(+∞) ((cos(nx))/((x^2 +x +a)^2 ))dx with a≥1 1) find a explicit form of f_n (a) 2)study the convervenge of Σ f_n (a) 3) determine also g_n (a) = ∫_(−∞) ^(+∞) ((cos(nx))/((x^2 +x+a)^3 ))dx study the convergence of Σ gn(a)

$l e t f_{n} (a) = \int_{- \infty}^{+ \infty} \frac{c o s (n x)}{{(x^{2} + x + a)}^{2}} d x w i t h a ⩾ 1$ $1) f i n d a e x p l i c i t f o r m o f f_{n} (a)$ $2) s t u d y t h e c o n v e r v e n g e o f Σ f_{n} (a)$ $3) d e t e r m i n e a l s o g_{n} (a) = \int_{- \infty}^{+ \infty} \frac{c o s (n x)}{{(x^{2} + x + a)}^{3}} d x$ $s t u d y t h e c o n v e r g e n c e o f Σ g n (a)$

Question Number 61874 Answers: 0 Comments: 1

∫((xln(x)−x)/(ln^3 (x))) dx

$\int \frac{x l n (x) - x}{{l n}^{3} (x)} d x$

Question Number 61873 Answers: 1 Comments: 2

((30x^8 y^(12) ))^(1/3) /^4 (√(6x^2 y^9 z)) simplifh this question

$\sqrt[3]{{30 x}^{8} y^{12}} /^{4} \sqrt{{6 x}^{2} y^{9} z} simplifh this question$

Question Number 61867 Answers: 0 Comments: 0

a player kicked a football at angel 30 with the ground towards an empty goal post of hegith 3.4m the ball hits the crossbar of the goal post 30m away from where the ball was kicked. Take g=9.8m/s. Find the intial velocity u of the ball?.What is time taken for the ball to hit the crossbar?

$a p l a y e r k i c k e d a f o o t b a l l a t a n g e l 30 w i t h t h e g r o u n d t o w a r d s a n e m p t y g o a l p o s t o f h e g i t h 3.4 m t h e b a l l h i t s t h e c r o s s b a r o f t h e g o a l p o s t 30 m a w a y f r o m w h e r e t h e b a l l w a s k i c k e d . T a k e g = 9.8 m / s . F i n d t h e i n t i a l v e l o c i t y u o f t h e b a l l ? . W h a t i s t i m e t a k e n f o r t h e b a l l t o h i t t h e c r o s s b a r ?$

Question Number 61864 Answers: 1 Comments: 3

Question Number 61861 Answers: 3 Comments: 5

Question Number 61860 Answers: 0 Comments: 0

simplify: ^(n + 1) C_r − ^(n − 1) C_r

$simplify : \overset{n + 1}{} C_{r} - \overset{n - 1}{} C_{r}$

Question Number 61856 Answers: 0 Comments: 1

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