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Question Number 168264 Answers: 1 Comments: 0

Question Number 168247 Answers: 2 Comments: 0

Solve for x ((8^x +27^x )/(12^x +18^x ))=(7/6) Mastermind

$S o l v e f o r x$ $\frac{8^{x} + 27^{x}}{12^{x} + 18^{x}} = \frac{7}{6}$ $M a s t e r m i n d$

Question Number 168187 Answers: 2 Comments: 0

Prove that : sinh^(−1) tanθ = log tan((θ/2)+(π/4)) Mastermind

$P r o v e t h a t :$ ${s i n h}^{- 1} t a n θ = l o g t a n (\frac{θ}{2} + \frac{π}{4})$ $M a s t e r m i n d$

Question Number 168185 Answers: 0 Comments: 0

Separate cos^(−1) e^(iθ) into real and imaginary parts. Mastermind

$S e p a r a t e {c o s}^{- 1} e^{i θ} i n t o$ $r e a l a n d i m a g i n a r y p a r t s .$ $M a s t e r m i n d$

Question Number 168118 Answers: 1 Comments: 0

If tan(θ+iφ)=cosα+isinα, prove that : θ=((nΠ)/2)+(Π/4) and φ=(1/2)log tan((Π/4)+(α/2))

$I f t a n (θ + i ϕ) = c o s α + i s i n α,$ $p r o v e t h a t : θ = \frac{n Π}{2} + \frac{Π}{4} a n d ϕ = \frac{1}{2} l o g t a n (\frac{Π}{4} + \frac{α}{2})$

Question Number 167978 Answers: 0 Comments: 0

(((3 2 )),((4 5)) ) [A] = determinant (((3 2)),((4 5)))

$(\begin{matrix} 3 2 \\ 4 5 \end{matrix}) [A] = | \begin{matrix} 3 2 \\ 4 5 \end{matrix} |$

Question Number 167977 Answers: 1 Comments: 0

Prove that I_n =(1/2^(n+1) )∫_π ^(4nπ) xcos (x/2)dx=((2−π)/2^(np) )

$P r o v e t h a t$ $I_{n} = \frac{1}{2^{n + 1}} \int_{π}^{4 n π} x \cos \frac{x}{2} d x = \frac{2 - π}{2^{n p}}$

Question Number 167963 Answers: 0 Comments: 0

show that_β_(1 =( nΣxy−ΣxΣy)/(nΣx^2 −(Σx)^2 )=Σxy/Σ(xy)^(2 ) where x=(x−x^− ) and y=(y−y^− ) )

$s h o w {t h a t}_{β_{1 = (n Σ x y - Σ x Σ y) / (n Σ x^{2} - {(Σ x)}^{2}) = Σ x y / Σ {(x y)}^{2} w h e r e x = (x - \bar{x}) a n d y = (y - \bar{y})}}$

Question Number 167928 Answers: 1 Comments: 0

Show that ∣1−i∣^x =2^x has no nonzero integral solution

$S h o w t h a t ∣ 1 - i ∣^{x} = 2^{x} h a s n o n o n z e r o i n t e g r a l s o l u t i o n$

Question Number 167882 Answers: 2 Comments: 0

Calculate I=∫(1/x)((√((1−x)/(1+x))))dx Indication poser t=(√((1−x)/(1+x)))

$C a l c u l a t e$ $I = \int \frac{1}{x} (\sqrt{\frac{1 - x}{1 + x}}) d x$ $I n d i c a t i o n p o s e r t = \sqrt{\frac{1 - x}{1 + x}}$

Question Number 167773 Answers: 2 Comments: 0

Calculate ∫((xtan x)/(cos^4 x))dx

$C a l c u l a t e$ $\int \frac{x \tan x}{\cos^{4} x} d x$

Question Number 167757 Answers: 1 Comments: 1

Calculate ∫sec^2 xsec xdx

$C a l c u l a t e$ $\int \sec^{2} x \sec x d x$

Question Number 167740 Answers: 0 Comments: 0

I_n =∫_0 ^(π/4) (1/(cos^(2n+1) x))dx Prove by parts that: 2nI_n =(2n−1)I_(n−1) +(2^n /( (√2)))

$I_{n} = \int_{0}^{\frac{π}{4}} \frac{1}{\cos^{2 n + 1} x} d x$ $P r o v e b y p a r t s t h a t :$ $2 {n I}_{n} = (2 n - 1) I_{n - 1} + \frac{2^{n}}{\sqrt{2}}$

Question Number 167730 Answers: 1 Comments: 2

Question Number 167496 Answers: 0 Comments: 0

Question Number 167468 Answers: 1 Comments: 0

Question Number 168097 Answers: 0 Comments: 0

Question Number 167372 Answers: 1 Comments: 0

Calculate ∫_(−2) ^2 (∣x∣+x)e^(−∣x∣) dx

$C a l c u l a t e$ $\int_{- 2}^{2} (∣ x ∣ + x) e^{- ∣ x ∣} d x$

Question Number 167330 Answers: 2 Comments: 0

Calculate ∫(1/(x+(√(x^2 +x+1))))dx

$C a l c u l a t e$ $\int \frac{1}{x + \sqrt{x^{2} + x + 1}} d x$

Question Number 167275 Answers: 0 Comments: 0

Question Number 167200 Answers: 1 Comments: 0

Question Number 167122 Answers: 0 Comments: 0

Question Number 166573 Answers: 1 Comments: 1

Question Number 166346 Answers: 1 Comments: 1

∫(dx/(1+(√x)+(√(1+x))))

$\int \frac{d x}{1 + \sqrt{x} + \sqrt{1 + x}}$

Question Number 166301 Answers: 2 Comments: 0

∫(x/( (√(1+x^2 +(√((1+x^2 )^3 ))))))dx

$\int \frac{x}{\sqrt{1 + x^{2} + \sqrt{{(1 + x^{2})}^{3}}}} d x$

Question Number 165816 Answers: 1 Comments: 0

The GCF of two numbers is 8 and theirLCM is 360.if one of the number is72 find the other number.

$The GCF of two numbers is 8 and$ $theirLCM is 360 . if one of the number$ $is 72 find the other number .$

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