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AllQuestion and Answers: Page 1569

Question Number 47513 Answers: 1 Comments: 1

Question Number 47510 Answers: 0 Comments: 1

the curve y = 3x^2 +4 (x=2 and x=3) is rotated about the x.axis.find the volume of the solid generated.Leave your answer in terms of π.

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

Question Number 47508 Answers: 0 Comments: 1

Question Number 47500 Answers: 0 Comments: 0

Question Number 47497 Answers: 1 Comments: 1

Question Number 47481 Answers: 1 Comments: 0

Three six−faced dice are thrown together. The probability that the sum of the numbers appearing on the dice is k (3≤ k ≤ 8) is

$Three six - faced dice are thrown$ $together . The probability that the sum$ $of the numbers appearing on the dice$ $is k (3 ⩽ k ⩽ 8) is$

Question Number 47480 Answers: 1 Comments: 0

Question Number 47477 Answers: 1 Comments: 0

Let n ∈ Z^+ f(1) = 1 f(2n) = f(n) f(2n+1) = (f(n))^2 − 2 f(1) + f(2) + f(3) + …+ f(100) = ...

$L e t n \in Z^{+}$ $f (1) = 1$ $f (2 n) = f (n)$ $f (2 n + 1) = {(f (n))}^{2} - 2$ $f (1) + f (2) + f (3) + \dots + f (100) = . . .$

Question Number 47476 Answers: 2 Comments: 1

How may I prove the following theorem ? ((a + b)/2) ≥ (√( ab )) Thank you

$How may I prove the following theorem ?$ $\frac{a + b}{2} ⩾ \sqrt{a b}$ $Thank you$

Question Number 47471 Answers: 1 Comments: 2

Question Number 47467 Answers: 0 Comments: 1

Question Number 47457 Answers: 1 Comments: 0

A straight line through (2,2) intersects lines (√3)x+y=0 and (√3)x−y=0 at pts. A & B respectively. Find equation of line AB so that ΔOAB is equilateral?

$A s t r a i g h t l i n e t h r o u g h (2, 2) i n t e r s e c t s$ $l i n e s \sqrt{3} x + y = 0 a n d \sqrt{3} x - y = 0 a t p t s .$ $A & B r e s p e c t i v e l y . F i n d e q u a t i o n$ $o f l i n e A B s o t h a t Δ O A B i s e q u i l a t e r a l ?$

Question Number 47455 Answers: 0 Comments: 1

Question Number 47454 Answers: 1 Comments: 0

prove that the locus of middle point of the normal chord of the parabola y^2 =4ax is (y^2 /(2a))+((4a^3 )/y^2 )=x−2a

$prove that the locus$ $of middle point of the$ $normal chord of the$ $parabola y^{2} = 4 ax is$ $\frac{y^{2}}{2 a} + \frac{{4 a}^{3}}{y^{2}} = x - 2 a$

Question Number 47449 Answers: 1 Comments: 1

Question Number 47447 Answers: 1 Comments: 0

Question Number 47438 Answers: 2 Comments: 0

Find locus of a point P which moves such that its distance from the line y=(√3)x−7 is same as its distance from (2(√3),−1) ?

$F i n d l o c u s o f a p o i n t P w h i c h m o v e s$ $s u c h t h a t i t s d i s t a n c e f r o m t h e l i n e$ $y = \sqrt{3} x - 7 i s s a m e a s i t s d i s t a n c e f r o m$ $(2 \sqrt{3}, - 1) ?$

Question Number 47433 Answers: 1 Comments: 6

Find the square root of − 5 − 12i, hence solve: z^2 − (4 + i)z + (5 + 6i) = 0

$Find the square root of - 5 - 12 i, hence solve : z^{2} - (4 + i) z + (5 + 6 i) = 0$

Question Number 47432 Answers: 0 Comments: 1

what is the nth derivative of e^(ax) sin (bx+c)?

$w h a t i s t h e n t h d e r i v a t i v e o f$ $e^{a x} \sin (b x + c) ?$

Question Number 47425 Answers: 1 Comments: 1

Question Number 47422 Answers: 1 Comments: 1

Question Number 47413 Answers: 1 Comments: 0

Calculate: 1999^2 − 1998^2 + 1997^2 − 1996^2 ... − 2^2 + 1^2

$Calculate : 1999^{2} - 1998^{2} + 1997^{2} - 1996^{2} . . . - 2^{2} + 1^{2}$

Question Number 47407 Answers: 1 Comments: 0

Question Number 47402 Answers: 2 Comments: 2

Question Number 47401 Answers: 2 Comments: 1

Question Number 47421 Answers: 1 Comments: 0

(√(400^2 +100^2 =))

$\sqrt{400^{2} + 100^{2} =}$

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