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Question Number 9482 Answers: 0 Comments: 1

find F_n (−1) or F_n (x). n=1,2,3...... F_n (x)=∫(1+x^3 )^n dx

$f i n d F_{n} (- 1) o r F_{n} (x) .$ $n = 1, 2, 3 . . . . . .$ $F_{n} (x) = \int {(1 + x^{3})}^{n} d x$

Question Number 9478 Answers: 0 Comments: 0

Question Number 9474 Answers: 0 Comments: 0

Question Number 9471 Answers: 1 Comments: 0

prove by mathematical induction a + (a + d) + (a + 2d) + ... + [a + (n − 1)d] = (1/2)n[2a + (n − 1)d]

$prove by mathematical induction$ $a + (a + d) + (a + 2 d) + . . . + [a + (n - 1) d] = \frac{1}{2} n [2 a + (n - 1) d]$

Question Number 9470 Answers: 1 Comments: 2

prove by mathematical induction. (1/(1.3)) + (1/(2.5)) + (1/(3.7)) + ... + (1/((2n − 1)(2n + 1))) = (n/(2n + 1))

$prove by mathematical induction .$ $\frac{1}{1.3} + \frac{1}{2.5} + \frac{1}{3.7} + . . . + \frac{1}{(2 n - 1) (2 n + 1)} = \frac{n}{2 n + 1}$

Question Number 9467 Answers: 1 Comments: 0

∫x^2 ((√(1 − x^2 ))) dx

$\int x^{2} (\sqrt{1 - x^{2}}) dx$

Question Number 9458 Answers: 0 Comments: 1

If the zeta function of 2 is 𝛇(2) = Σ_(n=1) ^∞ (1/n^2 ) 𝛇(2) = (𝛑^2 /6) the sum of infinite rational numbers, why converges for (𝛑^2 /6), an irrational number?

$If the zeta function of 2 is$ $ζ (2) = \underset{n = 1}{\sum^{\infty}} \frac{1}{n^{2}}$ $ζ (2) = \frac{π^{2}}{6}$ $the sum of infinite rational numbers,$ $why converges for \frac{π^{2}}{6}, an irrational$ $number ?$

Question Number 9455 Answers: 1 Comments: 0

Solve the following system of equations 3x−8z=−11 2y−3x=−3 y−4z=−7 See the comment of Q#9439.

$Solve the following system of equations$ $3 x - 8 z = - 11$ $2 y - 3 x = - 3$ $y - 4 z = - 7$ $You can't use 'macro parameter character #' in math mode$

Question Number 9453 Answers: 1 Comments: 0

find dc′s dr′s of a mormal to the plane 2x+(5/2)y+(7/8)z=23

$find {dc}^{'} s {dr}^{'} s of a mormal to the$ $plane 2 x + \frac{5}{2} y + \frac{7}{8} z = 23$

Question Number 9449 Answers: 1 Comments: 0

2xy = x + y ...... (i) 6xz = 6z − 2x ..... (ii) 3yz = 3y + 4z ....... (iii) Solve for x, y and z

$2 xy = x + y . . . . . . (i)$ $6 xz = 6 z - 2 x . . . . . (ii)$ $3 yz = 3 y + 4 z . . . . . . . (iii)$ $Solve for x, y and z$

Question Number 9439 Answers: 3 Comments: 1

Solve for x , y and z (x + 1)(y + 3) = 8 ....... (i) (y + 3)(z − 1) = 3 ......... (ii) (z − 1)(x + 1) = 2 ......... (iii)

$Solve for x, y and z$ $(x + 1) (y + 3) = 8 . . . . . . . (i)$ $(y + 3) (z - 1) = 3 . . . . . . . . . (ii)$ $(z - 1) (x + 1) = 2 . . . . . . . . . (iii)$

Question Number 9438 Answers: 1 Comments: 0

Solve for x, y and z 2xy = x + y ...... (i) 6xz = 6z − 2x ....... (ii) 3yz = 3y + 4z ......... (iii) That is the correct question sir.

$Solve for x, y and z$ $2 xy = x + y . . . . . . (i)$ $6 xz = 6 z - 2 x . . . . . . . (ii)$ $3 yz = 3 y + 4 z . . . . . . . . . (iii)$ $That is the correct question sir .$

Question Number 9436 Answers: 2 Comments: 0

If they said that Σ_(k=1) ^∞ k diverges, why 1 + 2 + 3 + 4 + ... = − (1/(12)) ?

$If they said that \underset{k = 1}{\sum^{\infty}} k diverges, why$ $1 + 2 + 3 + 4 + . . . = - \frac{1}{12} ?$

Question Number 9460 Answers: 1 Comments: 0

Question Number 9461 Answers: 1 Comments: 0

(dy/dx) = ((1 + y)/(2 + x)) solve the differential equation.

$\frac{dy}{dx} = \frac{1 + y}{2 + x}$ $solve the differential equation .$

Question Number 9424 Answers: 1 Comments: 0

Solve for x, y : x, y ∈ R x^3 − 3xy^2 = − 46 ........ (i) 3x^2 y − y^3 = 9 ..........(ii)

$Solve for x, y : x, y \in R$ $x^{3} - {3 xy}^{2} = - 46 . . . . . . . . (i)$ ${3 x}^{2} y - y^{3} = 9 . . . . . . . . . . (ii)$

Question Number 9423 Answers: 1 Comments: 3

if x and y are two sets such that n(x) =17 , n(y)=23 and n(X∪Y) =38, find n(X∪Y).

$i f x a n d y a r e t w o s e t s s u c h t h a t n (x)$ $= 17, n (y) = 23 a n d n (X \cup Y) = 38,$ $f i n d n (X \cup Y) .$

Question Number 9422 Answers: 0 Comments: 0

The value of ^(95) C_4 +Σ_(j=1) ^5 ^(100−j) C_3 is

$The value of^{95} C_{4} + \underset{j = 1}{\sum^{5}}^{100 - j} C_{3} is$

Question Number 9421 Answers: 1 Comments: 0

If the sum of the coefficients in the expansion of (a+b)^n is 4096, then the greatest coefficient in the expansion is

$If the sum of the coefficients in the$ $expansion of {(a + b)}^{n} is 4096, then the$ $greatest coefficient in the expansion is$

Question Number 9414 Answers: 1 Comments: 0

tanA+cot=A= 2cosec2A

$t a n A + c o t = A = 2 c o s e c 2 A$

Question Number 9420 Answers: 0 Comments: 0

x and y are two binary numbers which are in 4 − bit 2′s complement formate, where x = 00102 and y = 11012 : clearly, y is a negative number. what is the result of x + y in decimal formate.

$x and y are two binary numbers which are$ $in 4 - bit 2^{'} s complement formate,$ $where x = 00102 and y = 11012 : clearly,$ $y is a negative number . what is the result$ $of x + y in decimal formate .$

Question Number 9404 Answers: 1 Comments: 0

Question Number 9403 Answers: 2 Comments: 0

Question Number 9400 Answers: 1 Comments: 0

expand : y = e^x , about the point x = 1 using taylor′s series.

$expand : y = e^{x}, about the point x = 1$ $using {taylor}^{'} s series .$

Question Number 9399 Answers: 0 Comments: 0

Find the root of bx^3 − (3b − 2)x^2 − 2(5b − 3)x + 20 = 0

$Find the root of$ ${bx}^{3} - (3 b - 2) x^{2} - 2 (5 b - 3) x + 20 = 0$

Question Number 9419 Answers: 0 Comments: 0

Develop an algorithm and draw a flowchat to find the sum of numbers from 1 − 100

$Develop an algorithm and draw a flowchat$ $to find the sum of numbers from 1 - 100$

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