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Question Number 8788 Answers: 0 Comments: 1

Solve for α U(z)=U_b +((2A)/(n+1))(ρ×g×α)^n [H−i(H−Z)^(n+1) ]

$S o l v e f o r α$ $U (z) = U_{b} + \frac{2 A}{n + 1} {(ρ \times g \times α)}^{n} [H - i {(H - Z)}^{n + 1}]$

Question Number 8785 Answers: 0 Comments: 3

Question Number 8783 Answers: 1 Comments: 0

evaluate ∫4^x dx

$e v a l u a t e \int 4^{x} d x$

Question Number 8782 Answers: 1 Comments: 0

evaluate; ∫((sin^(−1) x)/(√(1−x^2 )))dx

$e v a l u a t e; \int \frac{\sin^{- 1} x}{\sqrt{1 - x^{2}}} d x$

Question Number 8781 Answers: 0 Comments: 0

Father reduced the quantity of food bought for the family by ((25)/2)% . When he found that the cost of living has increased by 15%. What is the fraction increase in the family′s food bill now ?

$Father reduced the quantity of food bought for$ $the family by \frac{25}{2} % . When he found that the$ $cost of living has increased by 15 % . What$ $is the fraction increase in the {family}^{'} s food$ $bill now ?$

Question Number 8762 Answers: 1 Comments: 0

∫x^2 (2x + 1)^(1/2) dx

$\int x^{2} {(2 x + 1)}^{1 / 2} dx$

Question Number 8756 Answers: 0 Comments: 0

show that every sphere through the circle x^2 +y^2 −2ax+r^2 =0,z=0 ,z=0 cuts orthogonally every sphere through the circle x^2 +z^2 =r^2 , y=o .

$s h o w t h a t e v e r y s p h e r e t h r o u g h t h e c i r c l e x^{2} + y^{2} - 2 a x + r^{2} = 0, z = 0$ $, z = 0 c u t s o r t h o g o n a l l y e v e r y s p h e r e t h r o u g h t h e c i r c l e$ $x^{2} + z^{2} = r^{2}, y = o .$

Question Number 8755 Answers: 0 Comments: 0

find the equation of the sphere which touches the plane 3x+2y−z+2=0 at the point (1,−2,1) and cuts orthogonally the the sphere x^2 +y^2 +z^2 −4x+6y+4=0

$f i n d t h e e q u a t i o n o f t h e s p h e r e w h i c h t o u c h e s t h e p l a n e$ $3 x + 2 y - z + 2 = 0 a t t h e p o i n t (1, - 2, 1) a n d c u t s o r t h o g o n a l l y t h e$ $t h e s p h e r e x^{2} + y^{2} + z^{2} - 4 x + 6 y + 4 = 0$

Question Number 8750 Answers: 1 Comments: 2

wx + 2z = 3 ............ (i) 3x − y + 4z = 4 ........... (ii) 6x + 2wy = − 4 ........... (iii) find w, x, y, z

$wx + 2 z = 3 . . . . . . . . . . . . (i)$ $3 x - y + 4 z = 4 . . . . . . . . . . . (ii)$ $6 x + 2 wy = - 4 . . . . . . . . . . . (iii)$ $find w, x, y, z$

Question Number 8764 Answers: 0 Comments: 2

(a) Find the sum given by S_n = (1/(1.3)) + (1/(3.5)) + (1/(5.7)) + ... + (1/((2n − 1)(2n + 1))) (b) find the limit of S_n as n → ∞

$(a) Find the sum given by$ $S_{n} = \frac{1}{1.3} + \frac{1}{3.5} + \frac{1}{5.7} + . . . + \frac{1}{(2 n - 1) (2 n + 1)}$ $(b) find the limit of S_{n} as n \to \infty$

Question Number 8763 Answers: 1 Comments: 2

∫x(√(3x + 1)) dx

$\int x \sqrt{3 x + 1} dx$

Question Number 8865 Answers: 1 Comments: 0

(1^2 /(1×3))+(2^2 /(3×5))+...+((n2)/((2n−1)(2n+1)))=((n(n+1)/(2(2n+1)))

$\frac{1^{2}}{1 \times 3} + \frac{2^{2}}{3 \times 5} + . . . + \frac{n 2}{(2 n - 1) (2 n + 1)} = \frac{n (n + 1}{2 (2 n + 1)}$

Question Number 8740 Answers: 0 Comments: 2

x_(1,1) =1 x_(n+1,m) =x_(n,m) +m x_(n,m+1) =nx_(n,m) −1 x_(2,2) =?

$x_{1, 1} = 1$ $x_{n + 1, m} = x_{n, m} + m$ $x_{n, m + 1} = {n x}_{n, m} - 1$ $x_{2, 2} = ?$

Question Number 8734 Answers: 0 Comments: 2

Evaluate the integral ∫[a(b^• .a + b.a^• ) + a^• (b.a) − 2(a^• .a)b − b^• ∣a∣^2 ]dt In which a^• ,b^• are the derivatives of a,b with respect to t

$Evaluate the integral$ $\int [a (\overset{∙}{b} . a + b . \overset{∙}{a}) + \overset{∙}{a} (b . a) - 2 (\overset{∙}{a} . a) b - \overset{∙}{b} ∣ a ∣^{2}] dt$ $In which \overset{∙}{a}, \overset{∙}{b} are the derivatives of a, b with$ $respect to t$

Question Number 8728 Answers: 0 Comments: 2

∫cos x/4−x^2 ∫((cos x)/(4−x^2 ))

$\int \cos x / 4 - x^{2}$ $\int \frac{\cos x}{4 - x^{2}}$

Question Number 8721 Answers: 0 Comments: 2

If z∈C satisfies ∣z^3 +z^(−3) ∣≤2 then maximum possible value of∣z+z^(−1) ∣is?

$If z \in C satisfies$ $∣ z^{3} + z^{- 3} ∣⩽ 2$ $t hen maximum possible value of ∣ z + z^{- 1} ∣ is ?$

Question Number 8720 Answers: 1 Comments: 5

Question Number 8757 Answers: 0 Comments: 1

A balloon is inflated such that every point expands at a units/second. An ant runs from one point A to another point B. If the ant moves b units/second, what will influence if or not the ant will ever reach point B?

$A balloon is inflated such that every$ $point expands at a units / second .$ $An ant runs from one point A to another$ $point B . If the ant moves b units / second,$ $what will influence if or not the ant will$ $ever reach point B ?$