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Question Number 167627 Answers: 0 Comments: 0

Question Number 167576 Answers: 1 Comments: 1

prove by useing the polar cordinaite ∫_0 ^( (a/2)) ∫_y ^( (√(a^2 −y^2 ))) x dx dy = ((5 a^3 )/(24 ))

$p r o v e b y u s e i n g t h e p o l a r c o r d i n a i t e$ $\int_{0}^{\frac{a}{2}} \int_{y}^{\sqrt{a^{2} - y^{2}}} x d x d y = \frac{5 a^{3}}{24}$

Question Number 167567 Answers: 1 Comments: 3

Find the coordinates of the point on the curve y=3x^2 −2x−5, where the tangent is parallel to the line y−5=8x.

$Find the coordinates of the point on the$ $curve y = {3 x}^{2} - 2 x - 5, where the tangent$ $is parallel to the line y - 5 = 8 x .$

Question Number 167566 Answers: 1 Comments: 0

Question Number 167562 Answers: 1 Comments: 0

∫ (e^(−x) /(1+e^x )) dx=?

$\int \frac{e^{- x}}{1 + e^{x}} d x = ?$

Question Number 167554 Answers: 3 Comments: 0

∫_0 ^∞ ((3x^2 )/( (√((5x^2 +1)^3 )))) dx

$\int_{0}^{\infty} \frac{{3 x}^{2}}{\sqrt{{({5 x}^{2} + 1)}^{3}}} dx$

Question Number 167550 Answers: 2 Comments: 0

Question Number 167549 Answers: 0 Comments: 0

Question Number 167547 Answers: 0 Comments: 1

Question Number 167526 Answers: 1 Comments: 1

∫_0 ^(𝛑/2) 𝚺_(n=1) ^∞ (1/(n^2 +1))dn=???

$\int_{0}^{\frac{π}{2}} \underset{n = 1}{\sum^{\infty}} \frac{1}{n^{2} + 1} dn = ? ? ?$

Question Number 167534 Answers: 0 Comments: 0

Question Number 167520 Answers: 1 Comments: 0

Given that f(x) = ∫_x ^(2x) (1/( (√(1+t^4 ))))dt (a) state its domain (b) is f(x) even or odd?

$Given that f (x) = \int_{x}^{2 x} \frac{1}{\sqrt{1 + t^{4}}} d t$ $(a) state its domain$ $(b) is f (x) even or odd ?$

Question Number 167517 Answers: 1 Comments: 0

𝚺_(n=1) ^∞ ((cos(n)sin(n))/(tan(n)))

$\underset{n = 1}{\sum^{\infty}} \frac{\cos (n) \sin (n)}{\tan (n)}$

Question Number 167512 Answers: 1 Comments: 2

∫_0 ^r (√(r^2 −x^2 )) dx

$\int_{0}^{r} \sqrt{r^{2} - x^{2}} d x$

Question Number 167510 Answers: 1 Comments: 0

explicite f(a)=∫_0 ^(π/2) ln(a+tan^2 x)dx a≥2

$e x p l i c i t e f (a) = \int_{0}^{\frac{π}{2}} l n (a + {t a n}^{2} x) d x$ $a ⩾ 2$

Question Number 167508 Answers: 2 Comments: 0

2((2x+1))^(1/3) =x^3 −1 How much the x is?

$2 \sqrt[3]{2 x + 1} = x^{3} - 1$ $H o w m u c h t h e x i s ?$

Question Number 167505 Answers: 0 Comments: 0

Solve this Equation : lim_(x→1) (((x/(−x)))×(((x/x))+((x/x)))^((((x/x))+((x/x))+((x/x)))) ) Then says it in English word, but without saying the word ′′Negative′′ That would be NSFW account on Twitter.

$S o l v e t h i s E q u a t i o n :$ $\lim_{x \to 1} ((\frac{x}{- x}) \times {((\frac{x}{x}) + (\frac{x}{x}))}^{((\frac{x}{x}) + (\frac{x}{x}) + (\frac{x}{x}))})$ $T h e n s a y s i t i n E n g l i s h w o r d,$ $b u t w i t h o u t s a y i n g t h e w o r d$ $^{″} N {e g a t i v e}^{″}$ $T h a t w o u l d b e N S F W a c c o u n t o n$ $T w i t t e r .$

Question Number 167519 Answers: 0 Comments: 0

V_4 is a set of all real valued continues functions defined on the entire real line together with standard addition and scalar multiplication. Is V_4 a vector space? Explain

$V_{4} is a set of all real valued continues$ $functions defined on the entire real$ $line together with standard addition$ $and scalar multiplication . Is V_{4}$ $a vector space ? Explain$