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Question Number 38822 Answers: 1 Comments: 1

The incident wave set up on a string of length fixed at each end is given by: y_1 =Asin(kx−wt) i)what is the equation of motion of the reflected wave,y_2 . ii)obtain the resultant,y=y_1 +y_2 of the two waves. iii)what type of resultant wave is this? iv)for what values of x will the amplitud of the resultant wave become zero? v)for what values of x will y be maximum?

$T h e i n c i d e n t w a v e s e t u p o n a s t r i n g$ $o f l e n g t h f i x e d a t e a c h e n d i s g i v e n$ $b y : y_{1} = A s i n (k x - w t)$ $i) w h a t i s t h e e q u a t i o n o f m o t i o n$ $o f t h e r e f l e c t e d w a v e, y_{2} .$ $i i) o b t a i n t h e r e s u l t a n t, y = y_{1} + y_{2}$ $o f t h e t w o w a v e s .$ $i i i) w h a t t y p e o f r e s u l t a n t w a v e i s$ $t h i s ?$ $i v) f o r w h a t v a l u e s o f x w i l l t h e$ $a m p l i t u d o f t h e r e s u l t a n t w a v e$ $b e c o m e z e r o ?$ $v) f o r w h a t v a l u e s o f x w i l l y b e$ $m a x i m u m ?$

Question Number 38816 Answers: 1 Comments: 0

Two waves are represented by y_1 =Asinωt and y_2 =Asin(ωt−δ). What is the resultant of the two waves? ii)determine the amplitude of the resultant wave and under which condition will it be constructive or destructive.

$T w o w a v e s a r e r e p r e s e n t e d b y$ $y_{1} = A s i n ω t a n d y_{2} = A s i n (ω t - δ) .$ $W h a t i s t h e r e s u l t a n t o f t h e t w o$ $w a v e s ?$ $i i) d e t e r m i n e t h e a m p l i t u d e o f t h e$ $r e s u l t a n t w a v e a n d u n d e r w h i c h$ $c o n d i t i o n w i l l i t b e c o n s t r u c t i v e o r$ $d e s t r u c t i v e .$

Question Number 38812 Answers: 0 Comments: 1

Can you remember this formula and the question behind it? 𝚽=mn−𝚺_(i=1) ^m 𝚺_(j=1) ^n sign[gcd(i,j)−1] The first prize goes to that one who can tell the # of the initial question.

$C a n y o u r e m e m b e r t h i s f o r m u l a a n d$ $t h e q u e s t i o n b e h i n d i t ?$ $Φ = m n - \underset{i = 1}{\sum^{m}} \underset{j = 1}{\sum^{n}} s i g n [g c d (i, j) - 1]$ $T h e f i r s t p r i z e g o e s t o t h a t o n e w h o$ $You can't use 'macro parameter character #' in math mode$

Question Number 38804 Answers: 1 Comments: 3

let A_n = ∫_0 ^n (((−1)^x )/(2[x] +1))dx 1) calculate A_n 2) find lim_(n→+∞) A_n

$l e t A_{n} = \int_{0}^{n} \frac{{(- 1)}^{x}}{2 [x] + 1} d x$ $1) c a l c u l a t e A_{n}$ $2) f i n d {l i m}_{n \to + \infty} A_{n}$

Question Number 38802 Answers: 2 Comments: 0

solve: y′′(1 + 4x^2 ) − 8y = 0

$solve : y^{″} (1 + {4 x}^{2}) - 8 y = 0$

Question Number 39029 Answers: 2 Comments: 0

∫((3−5(√(1−(1/x)))))^(1/3) dx=? ∫(1/((3−5(√(1−(1/x)))))^(1/3) )dx=?

$\int \sqrt[3]{3 - 5 \sqrt{1 - \frac{1}{x}}} d x = ?$ $\int \frac{1}{\sqrt[3]{3 - 5 \sqrt{1 - \frac{1}{x}}}} d x = ?$

Question Number 38786 Answers: 0 Comments: 5

Question Number 38775 Answers: 1 Comments: 2

Question Number 38765 Answers: 0 Comments: 10

App notification problem has been fixed. Please report if u are still not able to get notification. Issue was on server side so no app updates are needed.

$App notification problem has$ $been fixed . Please report if u are$ $still not able to get notification .$ $Issue was on server side so no app$ $updates are needed .$

Question Number 38762 Answers: 2 Comments: 2

Question Number 38759 Answers: 0 Comments: 2

3+3=

$3 + 3 =$

Question Number 38746 Answers: 0 Comments: 3

this is still waiting to be solved... ∫((√((t−1)t(t+1)))/(3t^2 −4))dt=?

$this is still waiting to be solved . . .$ $\int \frac{\sqrt{(t - 1) t (t + 1)}}{3 t^{2} - 4} d t = ?$

Question Number 38743 Answers: 1 Comments: 0

If sin θ + sin φ = a and cos θ + cos φ = b, find the value of tan ((θ−φ)/2)(in terms of a and b).

$If \sin θ + s i n ϕ = a and \cos θ + \cos ϕ = b,$ $find the value of \tan \frac{θ - ϕ}{2} (i n t e r m s o f a a n d b) .$

Question Number 38741 Answers: 0 Comments: 1

7.2+[0.2 of 10−{0.6+0.3−0.8−0.6}]

$7.2 + [0.2 o f 10 - {0.6 + 0.3 - 0.8 - 0.6}]$

Question Number 38740 Answers: 1 Comments: 4

find tbe polynom p withdegre 5 wich verify p(x+1)−p(x)=x^4 and p(0)=0 for that put p(x)=ax^5 +bx^4 +cx^3 +dx^2 +ex +f and find the coefficients. 2) find interms of n the value of sum 1 +2^4 +3^4 +....+n^4 .

$f i n d t b e p o l y n o m p w i t h d e g r e 5 w i c h v e r i f y$ $p (x + 1) - p (x) = x^{4} a n d p (0) = 0$ $f o r t h a t p u t p (x) = {a x}^{5} + {b x}^{4} + {c x}^{3} + {d x}^{2}$ $+ e x + f a n d f i n d t h e c o e f f i c i e n t s .$ $2) f i n d i n t e r m s o f n t h e v a l u e o f$ $s u m 1 + 2^{4} + 3^{4} + . . . . + n^{4} .$

Question Number 38734 Answers: 0 Comments: 1

Find the domain of the function f (x) = 1 − cos^2 x

$F i n d t h e d o m a i n o f t h e f u n c t i o n$ $f (x) = 1 - {c o s}^{2} x$

Question Number 38731 Answers: 0 Comments: 1

Question Number 38728 Answers: 0 Comments: 1

find L ( (e^(−(x/a)) /a)) with a≠0 and L laplace transfom.

$f i n d L (\frac{e^{- \frac{x}{a}}}{a}) w i t h a \neq 0 a n d L l a p l a c e t r a n s f o m .$

Question Number 38727 Answers: 0 Comments: 2

let n from N and A_n = ∫_(−∞) ^(+∞) ((cos(ax))/((x^2 +x+1)^n ))dx and B_n = ∫_(−∞) ^(+∞) ((sin(ax))/((x^2 +x+1)^n ))dx find the value of A_(n ) and B_n .

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

Question Number 38726 Answers: 0 Comments: 1

let f(x)=((x+1)/(2 +e^(−2x) )) developp f at integr serie.

$l e t f (x) = \frac{x + 1}{2 + e^{- 2 x}} d e v e l o p p f a t i n t e g r s e r i e .$

Question Number 38725 Answers: 0 Comments: 1

let f(x)=ln(1+ e^(−x) ) developp f at integr serie .

$l e t f (x) = l n (1 + e^{- x}) d e v e l o p p f a t i n t e g r s e r i e .$

Question Number 38724 Answers: 0 Comments: 2

calculate ∫_0 ^∞ ((x^2 cos(πx))/((x^2 +4)^2 ))dx

$c a l c u l a t e \int_{0}^{\infty} \frac{x^{2} c o s (π x)}{{(x^{2} + 4)}^{2}} d x$

Question Number 38723 Answers: 0 Comments: 1

find the value of ∫_0 ^∞ ((xsin(3x))/((1+x^2 )^2 ))dx

$f i n d t h e v a l u e o f \int_{0}^{\infty} \frac{x s i n (3 x)}{{(1 + x^{2})}^{2}} d x$

Question Number 38722 Answers: 0 Comments: 1

let f(x)= (x+1)e^(−x) and g(x)=ln(2+x^2 ) 1) calculate fog(x) and gof(x) 2) calculate (fog)^′ (x) and (gof)^′ (x).

$l e t f (x) = (x + 1) e^{- x} a n d g (x) = l n (2 + x^{2})$ $1) c a l c u l a t e f o g (x) a n d g o f (x)$ $2) c a l c u l a t e {(f o g)}^{^{'}} (x) a n d {(g o f)}^{^{'}} (x) .$

Question Number 38721 Answers: 0 Comments: 4

let f(x)=(√(1+2x^2 )) −x(√2) +3 1) calculate lim_(x→+∞) f(x) and lim_(x→−∞) f(x) 2)calculate lim_(x→+∞) ((f(x))/x) and lim_(x→−∞) ((f(x))/x) 3)give the assymtote to graph C_f 4) give the assymtote to C_f at point A(0,f(0)) 5) find f^(−1) (x) and calculate (f^(−1) )^′ (x) 6) calculate ∫_0 ^1 f(x)dx.

$l e t f (x) = \sqrt{1 + 2 x^{2}} - x \sqrt{2} + 3$ $1) c a l c u l a t e {l i m}_{x \to + \infty} f (x) a n d {l i m}_{x \to - \infty} f (x)$ $2) c a l c u l a t e {l i m}_{x \to + \infty} \frac{f (x)}{x} a n d {l i m}_{x \to - \infty} \frac{f (x)}{x}$ $3) g i v e t h e a s s y m t o t e t o g r a p h C_{f}$ $4) g i v e t h e a s s y m t o t e t o C_{f} a t p o i n t A (0, f (0))$ $5) f i n d f^{- 1} (x) a n d c a l c u l a t e {(f^{- 1})}^{^{'}} (x)$ $6) c a l c u l a t e \int_{0}^{1} f (x) d x .$

Question Number 38718 Answers: 0 Comments: 3

1) find f(x)=∫_0 ^π ln(2+x cosθ)dθ 2) calculate ∫_0 ^π ln(2 +cosθ)dθ

$1) f i n d f (x) = \int_{0}^{π} l n (2 + x c o s θ) d θ$ $2) c a l c u l a t e \int_{0}^{π} l n (2 + c o s θ) d θ$

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