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Question Number 137038 Answers: 1 Comments: 0

Given triangle ABC, what is the maximum value of y=2cosA + cosB + cosC?

Question Number 137037 Answers: 2 Comments: 0

Question Number 137027 Answers: 1 Comments: 0

2x dx + x^(−2) (x dy−y dx) = 0

$2 x dx + x^{- 2} (x dy - y dx) = 0$

Question Number 137026 Answers: 0 Comments: 3

2971x≡1792(mod 1000)...x∈Z?

$2971 x \equiv 1792 (m o d 1000) . . . x \in Z ?$

Question Number 137014 Answers: 0 Comments: 2

Question Number 137035 Answers: 1 Comments: 1

Given a 10−digit number X = 1345789026 How many 10−digit number that can be made using every digit from X, with condition: If a number n is located in k^(th) position of X, then the new created number must not contain number n in k^(th) position Example: • Number 1 is located in 1^(st) position of X, hence 1234567890 is not valid, but 2134567890 is valid • Number 5 and 0 are located in 4^(th) and 8^(th) position of X, hence 9435162087 is not valid, but 9431506287 is valid. • 1345026789 is not valid • and so on...

$Given a 10 - digit number X = 1345789026$ $How many 10 - digit number that can be made$ $using every digit from X, with condition :$ $If a number n is located in k^{t h} position of X, then$ $the new created number must not contain$ $number n in k^{t h} position$ $Example :$ $∙ Number 1 is located in 1^{s t} position of X, hence$ $1234567890 is not valid, but 2134567890$ $is valid$ $∙ Number 5 and 0 are located in 4^{t h} and 8^{t h} position$ $of X, hence 9435162087 is not valid, but$ $9431506287 is valid .$ $∙ 1345026789 is not valid$ $∙ and so on . . .$

Question Number 137011 Answers: 4 Comments: 2

Question Number 137010 Answers: 0 Comments: 1

if f(x,y)=(xy)^3 +e^(xy) +sec((y/x)) find f_(xx) , f_(yy) , f_(xy) , f_(yx)

$i f f (x, y) = {(x y)}^{3} + e^{x y} + s e c (\frac{y}{x}) f i n d$ $f_{x x}, f_{y y}, f_{x y}, f_{y x}$

Question Number 137007 Answers: 0 Comments: 3

Question Number 137005 Answers: 0 Comments: 1

Hi, guyz ! For R = (1/2)×(3/4)×(5/6)×...×((223)/(224)) and S = (2/3)×(4/5)×(6/7)×...×((224)/(225)) . Prove that : R < (1/(15)) < S.

$Hi, guyz!$ $For R = \frac{1}{2} \times \frac{3}{4} \times \frac{5}{6} \times . . . \times \frac{223}{224} and$ $S = \frac{2}{3} \times \frac{4}{5} \times \frac{6}{7} \times . . . \times \frac{224}{225} .$ $Prove that : R < \frac{1}{15} < S .$

Question Number 137004 Answers: 3 Comments: 0

find ∫ ((√x)/( (√(x−1))+(√(x+1))))dx

$f i n d \int \frac{\sqrt{x}}{\sqrt{x - 1} + \sqrt{x + 1}} d x$

Question Number 137003 Answers: 1 Comments: 0

find ∫_0 ^(π/4) ((cos^5 t)/(cos(5t)))dt

$f i n d \int_{0}^{\frac{π}{4}} \frac{{c o s}^{5} t}{c o s (5 t)} d t$

Question Number 137001 Answers: 0 Comments: 0

calculate ∫_3 ^∞ (dx/((x^2 −4)^5 (x+1)^3 ))

$c a l c u l a t e \int_{3}^{\infty} \frac{d x}{{(x^{2} - 4)}^{5} {(x + 1)}^{3}}$

Question Number 136999 Answers: 2 Comments: 0

......advanced ...... calculus.... 𝛗=∫_0 ^( ∞) ln(x).sin(x).e^(−x) dx=?

$. . . . . . a d v a n c e d . . . . . . c a l c u l u s . . . .$ $ϕ = \int_{0}^{\infty} l n (x) . s i n (x) . e^{- x} d x = ?$

Question Number 136996 Answers: 0 Comments: 0

Given a,b and c is real number satisfy a+b+c = 4 and ab+ac+bc = 3 . The value of ⌈ 3c+2 ⌉ = ?

$Given a, b and c is real number satisfy$ $a + b + c = 4 and ab + ac + bc = 3 . The value$ $of ⌈ 3 c + 2 ⌉ = ?$

Question Number 136995 Answers: 0 Comments: 0

1−(((1.1.3)/(2.3.4)))(1/(1!))+(((3.3.7)/(2^2 .3^2 .4^2 )))(1/(2!))−(((5.7.10)/(2^3 .3^3 .4^3 )))(1/(3!))−....

$1 - (\frac{1.1.3}{2.3.4}) \frac{1}{1!} + (\frac{3.3.7}{2^{2} . 3^{2} . 4^{2}}) \frac{1}{2!} - (\frac{5.7.10}{2^{3} . 3^{3} . 4^{3}}) \frac{1}{3!} - . . . .$

Question Number 136992 Answers: 2 Comments: 0

ℓ = ∫ ((cos 7x−cos 8x)/(1+2cos 5x)) dx =?

$ℓ = \int \frac{\cos 7 x - \cos 8 x}{1 + 2 \cos 5 x} dx = ?$

Question Number 136990 Answers: 0 Comments: 0

Given a cube ABCD.EFGH where point Z is the midpoint of AE, point R on the edge of BC such that BR: CR = 3: 1, point U on the CG edge so that CG = 2GU. where x is the angle of the BR line to the BUZ plane. the value of sin x is equal to

Question Number 136988 Answers: 2 Comments: 0

whats the intersiction of the curves r=(1/(1−cosθ)) and r=(1/(1+cosθ)) ?

$w h a t s t h e i n t e r s i c t i o n o f t h e c u r v e s r = \frac{1}{1 - c o s θ}$ $a n d r = \frac{1}{1 + c o s θ} ?$