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Vector CalculusQuestion and Answers: Page 1

Question Number 216698 Answers: 2 Comments: 0

lim_(x→+∞) ^3 (√(x+1)) −^3 (√x) =^? 0

$\lim_{x \to + \infty}^{3} \sqrt{x + 1} -^{3} \sqrt{x} \overset{?}{=} 0$

Question Number 213045 Answers: 1 Comments: 0

a^⇀ ,b^⇀ ls the unit vector,∣a^⇀ +b^⇀ ∣=1 ask ∣a^⇀ −b^⇀ ∣?

$\overset{⇀}{a}, \overset{⇀}{b l s} t h e u n i t v e c t o r, ∣ \overset{⇀}{a} + \overset{⇀}{b} ∣= 1$ $a s k ∣ \overset{⇀}{a} - \overset{⇀}{b} ∣ ?$

Question Number 212616 Answers: 0 Comments: 1

if f(x)=^a x=x^x^x^⋰^x (there are a x′s;a∈N and a≠0) ∫f(x)dx=?

$i f f (x) =^{a} x = x^{x^{x^{\iddots^{x}}}} (t h e r e a r e a x^{'} s; a \in N a n d a \neq 0)$ $\int f (x) d x = ?$

Question Number 210554 Answers: 1 Comments: 0

Question Number 209888 Answers: 0 Comments: 0

n_0 =((Z^2 .p.(1−p))/C^(2m) )

$n_{0} = \frac{Z^{2} . p . (1 - p)}{C^{2 m}}$

Question Number 207712 Answers: 1 Comments: 0

Question Number 205673 Answers: 0 Comments: 0

Question Number 204273 Answers: 1 Comments: 0

f(x)=(1/((x−1)^(ln((2/4))) )) Domain f(x) =?

$f (x) = \frac{1}{{(x - 1)}^{\ln (\frac{2}{4})}}$ $Domain f (x) = ?$

Question Number 203900 Answers: 0 Comments: 0

Let A ∈ R^(N×N) be a symmetric positive definite matrix and b ∈ R^N a vector. If x ∈ R^N , evaluate the integral Z(A,b) = ∫e^(−(1/2)x^T Ax + b^T x) dx as a function of A and b.

$L e t A \in R^{N \times N} b e a s y m m e t r i c p o s i t i v e$ $d e f i n i t e m a t r i x a n d b \in R^{N} a v e c t o r .$ $I f x \in R^{N}, e v a l u a t e t h e i n t e g r a l$ $Z (A, b) = \int e^{- \frac{1}{2} x^{T} A x + b^{T} x} d x a s a f u n c t i o n$ $o f A a n d b .$

Question Number 201947 Answers: 1 Comments: 0

Question Number 201144 Answers: 2 Comments: 0

(((14)/(15)))^6 ×(((45)/(28)))^6 =

${(\frac{14}{15})}^{6} \times {(\frac{45}{28})}^{6} =$

Question Number 200929 Answers: 0 Comments: 2

A ball lies on the function z=xy at the point (1,2,2). Find the point in the xy−plane where the ball will touch it. Calculus 2 problem.

$A ball lies on the function z = x y at$ $the point (1, 2, 2) . Find the point in$ $the x y - plane where the ball will$ $touch it .$ $Calculus 2 problem .$

Question Number 196918 Answers: 1 Comments: 0

Question Number 196412 Answers: 1 Comments: 1

Prove that ∫^( +∞) _( i) (cos2t+isin2t)e^(−t^2 ) dt= ((√π)/(2e))

$Prove that {\int_{i}}^{+ \infty} (\cos 2 t + isin 2 t) e^{- t^{2}} dt = \frac{\sqrt{π}}{2 e}$

Question Number 193204 Answers: 1 Comments: 0

Question Number 192024 Answers: 1 Comments: 0

Question Number 192023 Answers: 2 Comments: 0

Question Number 191104 Answers: 1 Comments: 0

Question Number 190006 Answers: 0 Comments: 0

Question Number 186323 Answers: 1 Comments: 1

Question Number 185190 Answers: 0 Comments: 0

Question Number 184287 Answers: 2 Comments: 0

If the area enclosed between the curves y=x² and the line y = 2x is rotated round the x-axis through 4 right angles, find the volume of the solid generated

Question Number 182183 Answers: 1 Comments: 0

∫_0 ^( 1) e^a a^n da=? n≥1 n∈N

$\int_{0}^{1} e^{a} a^{n} d a = ? n ⩾ 1 n \in N$

Question Number 181678 Answers: 0 Comments: 0

Question Number 179453 Answers: 1 Comments: 0

Question Number 179053 Answers: 1 Comments: 0

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