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AllQuestion and Answers: Page 1508

Question Number 52663 Answers: 2 Comments: 1

Question Number 52655 Answers: 0 Comments: 0

Question Number 52653 Answers: 0 Comments: 0

2 X + 5^(2 ) = (√9) − X 2 X + X = 3 − 25 3 X = − 22 X = ((22)/3) 6 Z − 63 = 1 − ∣ − 20 ∣ 6 Z = 1 − 20 + 63 6 Z = 44 Z = ((44)/6) = ((22)/3) ∵ s(x)=s(z),∴X=Z

$2 X + 5^{2} = \sqrt{9} - X$ $2 X + X = 3 - 25$ $3 X = - 22$ $X = \frac{22}{3}$ $6 Z - 63 = 1 - ∣ - 20 ∣$ $6 Z = 1 - 20 + 63$ $6 Z = 44$ $Z = \frac{44}{6} = \frac{22}{3} ∵ s (x) = s (z), ∴ X = Z$

Question Number 52649 Answers: 0 Comments: 2

∫ ((4x^2 + 3)/((x^2 + x + 1)^2 )) dx

$\int \frac{{4 x}^{2} + 3}{{(x^{2} + x + 1)}^{2}} dx$

Question Number 52644 Answers: 0 Comments: 0

Question Number 52630 Answers: 0 Comments: 3

Question Number 52629 Answers: 2 Comments: 0

show that ((sinα+sin3α+sin5α)/(cosα+cos3α+cos5α))= tan3α

$s h o w t h a t \frac{s i n α + s i n 3 α + s i n 5 α}{c o s α + c o s 3 α + c o s 5 α} = t a n 3 α$

Question Number 52627 Answers: 2 Comments: 1

Question Number 52619 Answers: 3 Comments: 4

1)∫_1 ^3 (dx/(x^2 +[x]^2 +1−2x[x])) 2)∫_(−1) ^1 [x[1+sinπx]+1]dx 3)∫_0 ^2 x^([x^2 +1]) dx 4)∫_0 ^1 e^(2x−[2x]) d(x−[x]) 5)∫_(−2) ^3 ∣x^2 −5x−6∣dx from question 1 to 4 [.]←greatest integer fuction ∣.∣←mod questions taken from B.Stat entrance exam...

$1) \int_{1}^{3} \frac{d x}{x^{2} + {[x]}^{2} + 1 - 2 x [x]}$ $2) \int_{- 1}^{1} [x [1 + s i n π x] + 1] d x$ $3) \int_{0}^{2} x^{[x^{2} + 1]} d x$ $4) \int_{0}^{1} e^{2 x - [2 x]} d (x - [x])$ $5) \int_{- 2}^{3} ∣ x^{2} - 5 x - 6 ∣ d x$ $f r o m q u e s t i o n 1 t o 4 [.] \leftarrow g r e a t e s t i n t e g e r f u c t i o n$ $∣ . ∣\leftarrow m o d$ $q u e s t i o n s t a k e n f r o m B . S t a t e n t r a n c e e x a m . . .$

Question Number 52611 Answers: 1 Comments: 5

Question Number 52610 Answers: 1 Comments: 4

please help me y=(√(9−x^2 )) Q find domain and range of given real function i found the domain=[−3,3] but for range i followed this way y^2 =9−x^2 x^2 =9−y^2 ⇒x=(√(9−y^2 ))⇒y=[−3,3] but the answer is [0,3] after checking the graph y≥0. yes its true we have to take positive root but how can i write it

$p l e a s e h e l p m e$ $y = \sqrt{9 - x^{2}}$ $Q f i n d d o m a i n a n d r a n g e o f g i v e n r e a l f u n c t i o n$ $i f o u n d t h e d o m a i n = [- 3, 3]$ $b u t f o r r a n g e i f o l l o w e d t h i s w a y$ $y^{2} = 9 - x^{2}$ $x^{2} = 9 - y^{2} \Rightarrow x = \sqrt{9 - y^{2}} \Rightarrow y = [- 3, 3]$ $b u t t h e a n s w e r i s [0, 3]$ $a f t e r c h e c k i n g t h e g r a p h y ⩾ 0 . y e s i t s t r u e$ $w e h a v e t o t a k e p o s i t i v e r o o t b u t h o w c a n i$ $w r i t e i t$

Question Number 52609 Answers: 1 Comments: 0

sin^2 A + sin^4 A=1then the value of tan^2 A−tan^4 A

$\sin^{2} A + \sin^{4} A = 1 then the value of \tan^{2} A - \tan^{4} A$

Question Number 52600 Answers: 1 Comments: 1

If P_n denotes the product of the binomial coefficients in the expansion of (1+x)^n , then (P_(n+1) /P_n ) equals

$If P_{n} denotes the product of the binomial$ $coefficients in the expansion of {(1 + x)}^{n},$ $then \frac{P_{n + 1}}{P_{n}} equals$

Question Number 52593 Answers: 1 Comments: 1

Question Number 52592 Answers: 1 Comments: 0

if x+y+z=1 x^2 +y^2 +z^2 =2 x^3 +y^3 +z^3 =3 find x^4 +y^4 +z^4

$i f x + y + z = 1$ $x^{2} + y^{2} + z^{2} = 2$ $x^{3} + y^{3} + z^{3} = 3$ $f i n d x^{4} + y^{4} + z^{4}$

Question Number 52590 Answers: 0 Comments: 1

Question Number 52573 Answers: 1 Comments: 0

Find the relation between p q and r if one of the root of the equation px^2 +qx+r=0 is double the other.

$F i n d t h e r e l a t i o n b e t w e e n p q a n d r$ $i f o n e o f t h e r o o t o f t h e e q u a t i o n$ ${p x}^{2} + q x + r = 0 i s d o u b l e t h e o t h e r .$

Question Number 52572 Answers: 1 Comments: 0

In the equation ax^2 +bx+c=0.One root is the square of the other. Show that c(a−b)^3 =a(c−b)^3

$I n t h e e q u a t i o n {a x}^{2} + b x + c = 0 . O n e$ $r o o t i s t h e s q u a r e o f t h e o t h e r .$ $S h o w t h a t c {(a - b)}^{3} = a {(c - b)}^{3}$

Question Number 52558 Answers: 1 Comments: 6

Question Number 52550 Answers: 1 Comments: 1

∫_0 ^( ∞) (x/(e^x − 1)) dx

$\int_{0}^{\infty} \frac{x}{e^{x} - 1} dx$

Question Number 52542 Answers: 1 Comments: 3

Let f(x) = (( 5x + 40 )/(x + 2)) (1) Calculate the derivative of f(4) without using the answer of question (2), (2) Calculate the derivative of f(x), (3) Calculate lim_(x → +∞) f(x) . All your answers should be correctly proved and detailed. Can you please help me for that exercise.

$Let f (x) = \frac{5 x + 40}{x + 2}$ $(1) Calculate the derivative of f (4) without$ $using the answer of question (2),$ $(2) Calculate the derivative of f (x),$ $(3) Calculate \lim_{x \to + \infty} f (x) .$ $All your answers should be correctly proved and detailed .$ $C a n y o u p l e a s e h e l p m e f o r t h a t e x e r c i s e .$

Question Number 52539 Answers: 2 Comments: 0

Question Number 52533 Answers: 0 Comments: 5

Question Number 52523 Answers: 0 Comments: 12

Question Number 52578 Answers: 0 Comments: 0

Question Number 52520 Answers: 0 Comments: 0

Please help John travels a distance of 24km from twon A on a bearing of 060° to town B. He then travels a distance of 18km to town C, which is 30km east of town A. (i) what is the bearing of town C from town B? (ii) calculate the bearing of town A from town C?

$Please he l p$ $John travels a distance of 24 km$ $from twon A on a bearing of 060 ° to$ $town B . He then travels a distance$ $of 18 km to town C, which is 30 km$ $east of town A .$ $(i) what is the bearing of town C from$ $town B ?$ $(ii) calculate the bearing of town A$ $from town C ?$

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