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AllQuestion and Answers: Page 62

Question Number 211750 Answers: 1 Comments: 0

lim_(x→∞) (((a^(1/x) +b^(1/x) )/2))^x ;(a,b)∈R_+ ^∗

$\lim_{x \to \infty} {(\frac{a^{1 / x} + b^{1 / x}}{2})}^{x}; (a, b) \in R_{+}^{*}$

Question Number 211749 Answers: 3 Comments: 0

volume bounded by the curve z = (√(3x^2 +3y^2 )) and x^2 +y^2 +z^2 = 6^2

$v o l u m e b o u n d e d b y t h e c u r v e$ $z = \sqrt{3 x^{2} + 3 y^{2}} a n d x^{2} + y^{2} + z^{2} = 6^{2}$

Question Number 211745 Answers: 1 Comments: 1

lim_(x→5) (10^2 +5x−20)

$\lim_{x \to 5} (10^{2} + 5 x - 20)$

Question Number 211738 Answers: 0 Comments: 1

∫(1/(x^5 +1 ))dx.

$\int \frac{1}{x^{5} + 1} d x .$

Question Number 211734 Answers: 1 Comments: 0

Question Number 211732 Answers: 2 Comments: 0

Question Number 211730 Answers: 0 Comments: 0

Question Number 211727 Answers: 1 Comments: 0

Question Number 211726 Answers: 0 Comments: 0

Question Number 211722 Answers: 1 Comments: 0

a, b ∈ N a ∙ b = 144 how many different numbers can a and b be here?

$a, b \in N$ $a \cdot b = 144$ how many different numbers can a and b be here?

Question Number 211720 Answers: 2 Comments: 0

if ((8^x −2^x )/(6^x −3^x )) = 2 find x

$i f \frac{8^{x} - 2^{x}}{6^{x} - 3^{x}} = 2 f i n d x$

Question Number 211719 Answers: 0 Comments: 1

Question Number 211716 Answers: 1 Comments: 0

lim_(x→∞) (1+(1/(1×2))+(1/(1×2×3))+∙∙∙+(1/(1×2×3×∙∙∙×x)))=?

$\lim_{x \to \infty} (1 + \frac{1}{1 \times 2} + \frac{1}{1 \times 2 \times 3} + \cdot \cdot \cdot + \frac{1}{1 \times 2 \times 3 \times \cdot \cdot \cdot \times x}) = ?$

Question Number 211717 Answers: 1 Comments: 0

lim_(x→0) (((1+x^2 )^(1/3) −1)/(e^x^2 −1))=?

$\underset{x \to 0}{li m} \frac{{(1 + x^{2})}^{\frac{1}{3}} - 1}{e^{x^{2}} - 1} = ?$

Question Number 211706 Answers: 1 Comments: 0

if x^(log27) + 9^(logx) =36 find x

$i f x^{l o g 27} + 9^{l o g x} = 36 f i n d x$

Question Number 211703 Answers: 0 Comments: 2

Calculate the quadruple integralas follows: I=∫_0 ^1 ∫_0 ^x ∫_0 ^y ∫_0 ^z ((sin(x^2 +y^2 +z^2 +w^2 ))/(1+w^2 +z^2 ))dw dz dy dx

$Calculate the quadruple$ $integralas follows :$ $I = \int_{0}^{1} \int_{0}^{x} \int_{0}^{y} \int_{0}^{z} \frac{\sin (x^{2} + y^{2} + z^{2} + w^{2})}{1 + w^{2} + z^{2}} d w d z dy d x$

Question Number 211700 Answers: 0 Comments: 1

f(x) = x^4 −x^3 + x^2 + 3x−6 price range: E(f) = ?

$f (x) = x^{4} - x^{3} + x^{2} + 3 x - 6$ $price range : E (f) = ?$

Question Number 211696 Answers: 1 Comments: 0

∫^( 1) _0 (( 1)/(( 2 +2x + x^2 )^3 )) dx= ? _( ^(Improper integral ) ) −−−−−−−−−

${\int_{0}}^{1} \frac{1}{{(2 + 2 x + x^{2})}^{3}} d x = ?$ $\underset{⏟}{\underset{\overset{Improper integral}{}}{}}$ $- - - - - - - - -$

Question Number 211694 Answers: 0 Comments: 4

Question Number 211691 Answers: 1 Comments: 0

Question Number 211680 Answers: 1 Comments: 1

x, y are positive integer such that, x^3 +y^3 +xy=911. (x,y)=?

$x, y a r e p o s i t i v e i n t e g e r s u c h$ $t h a t, x^{3} + y^{3} + x y = 911 . (x, y) = ?$

Question Number 211679 Answers: 1 Comments: 1

Inverse root formula: x=((2c)/(−b±(√(b^2 −4ac)))) (1)The“ antiroot formula” is derivedr fom the abovementionedt antiroo formula.

$Inverse root formula :$ $x = \frac{2 c}{- b \pm \sqrt{b^{2} - 4 a c}}$ $(1) The ‘ ‘ antiroot {formula}^{″} is derivedr$ $fom the abovementionedt$ $antiroo formula .$

Question Number 213343 Answers: 1 Comments: 0

Question Number 213342 Answers: 0 Comments: 1

Question Number 213341 Answers: 2 Comments: 3

Question Number 213340 Answers: 0 Comments: 3

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