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AllQuestion and Answers: Page 675

Question Number 148417 Answers: 0 Comments: 0

Question Number 148408 Answers: 2 Comments: 0

∫x^5 e^x^2 dx Help please!

$$\int{x}^{\mathrm{5}} {e}^{{x}^{\mathrm{2}} } {dx} \\ $$$${Help}\:{please}! \\ $$

Question Number 148404 Answers: 0 Comments: 0

Question Number 148403 Answers: 1 Comments: 0

Question Number 148397 Answers: 0 Comments: 0

Question Number 148395 Answers: 1 Comments: 0

x^x = 64 ⇒ x = ?

$$\boldsymbol{{x}}^{\boldsymbol{{x}}} \:=\:\mathrm{64} \\ $$$$\Rightarrow\:\boldsymbol{{x}}\:=\:? \\ $$

Question Number 148388 Answers: 1 Comments: 0

cos40°(1 - 2cos80°) = ?

$${cos}\mathrm{40}°\left(\mathrm{1}\:-\:\mathrm{2}{cos}\mathrm{80}°\right)\:=\:? \\ $$

Question Number 148382 Answers: 0 Comments: 0

0.8%×544

$$\mathrm{0}.\mathrm{8\%}×\mathrm{544} \\ $$

Question Number 148381 Answers: 0 Comments: 0

Question Number 148376 Answers: 1 Comments: 0

∫_1 ^∞ x^i lnxdx i^2 =−1

$$\int_{\mathrm{1}} ^{\infty} {x}^{{i}} {lnxdx}\:\:\:\:\:\:{i}^{\mathrm{2}} =−\mathrm{1} \\ $$

Question Number 148374 Answers: 0 Comments: 0

Solve the equation on the set of real number: (8/( (√(6 - 2z)))) + (2/( (√z))) = z^2 - 2z + 7

$${Solve}\:{the}\:{equation}\:{on}\:{the}\:{set}\:{of}\:{real} \\ $$$${number}:\:\:\:\frac{\mathrm{8}}{\:\sqrt{\mathrm{6}\:-\:\mathrm{2}{z}}}\:+\:\frac{\mathrm{2}}{\:\sqrt{{z}}}\:=\:{z}^{\mathrm{2}} \:-\:\mathrm{2}{z}\:+\:\mathrm{7} \\ $$

Question Number 148375 Answers: 0 Comments: 0

∫_1 ^∞ sin(x+lnx)dx

$$\int_{\mathrm{1}} ^{\infty} {sin}\left({x}+{lnx}\right){dx} \\ $$

Question Number 148372 Answers: 1 Comments: 0

calculate ∫_γ z^3 e^(1/z^2 ) dz with γ(t)=3e^(it) and t∈[0,2π]

$$\mathrm{calculate}\:\int_{\gamma} \mathrm{z}^{\mathrm{3}} \:\mathrm{e}^{\frac{\mathrm{1}}{\mathrm{z}^{\mathrm{2}} }} \mathrm{dz}\:\:\mathrm{with}\:\gamma\left(\mathrm{t}\right)=\mathrm{3e}^{\mathrm{it}} \:\:\:\:\mathrm{and}\:\mathrm{t}\in\left[\mathrm{0},\mathrm{2}\pi\right] \\ $$

Question Number 148371 Answers: 1 Comments: 0

calculate ∫_γ ze^(2/z^2 ) dz with γ(t)=(√3)e^(it) t∈[0,2π]

$$\mathrm{calculate}\:\int_{\gamma} \mathrm{ze}^{\frac{\mathrm{2}}{\mathrm{z}^{\mathrm{2}} }} \mathrm{dz}\:\:\:\mathrm{with}\:\gamma\left(\mathrm{t}\right)=\sqrt{\mathrm{3}}\mathrm{e}^{\mathrm{it}} \:\:\:\:\:\:\mathrm{t}\in\left[\mathrm{0},\mathrm{2}\pi\right] \\ $$

Question Number 148368 Answers: 0 Comments: 0

Question Number 148356 Answers: 0 Comments: 2

Question Number 148362 Answers: 0 Comments: 0

Show that the equation 4xy-x-y=z^2 has no solution in natural numbers.

$${Show}\:{that}\:{the}\:{equation}\:\:\mathrm{4}{xy}-{x}-{y}={z}^{\mathrm{2}} \\ $$$${has}\:{no}\:{solution}\:{in}\:{natural}\:{numbers}. \\ $$

Question Number 148350 Answers: 0 Comments: 1

(((1/2)+(1/3)+....+(1/9))/((9/1)+(8/2)+...+(1/9)))=?

$$\frac{\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+....+\frac{\mathrm{1}}{\mathrm{9}}}{\frac{\mathrm{9}}{\mathrm{1}}+\frac{\mathrm{8}}{\mathrm{2}}+...+\frac{\mathrm{1}}{\mathrm{9}}}=? \\ $$

Question Number 148341 Answers: 0 Comments: 0

Solve the inequality: (5 - ∣x∣ )^(− (1/3)) ∙ (x^2 - 4) < 0

$${Solve}\:{the}\:{inequality}: \\ $$$$\left(\mathrm{5}\:-\:\mid{x}\mid\:\right)^{−\:\frac{\mathrm{1}}{\mathrm{3}}} \:\centerdot\:\left({x}^{\mathrm{2}} \:-\:\mathrm{4}\right)\:<\:\mathrm{0} \\ $$

Question Number 148339 Answers: 1 Comments: 0

arccos (cos 9) = ?

$${arccos}\:\left({cos}\:\mathrm{9}\right)\:=\:? \\ $$

Question Number 148334 Answers: 1 Comments: 0

Question Number 148333 Answers: 2 Comments: 0

((x)^(1/3) + (1/( (√x))))^(15) Find the limit that does not inclued the variable x in the opening of the binomial.

$$\left(\sqrt[{\mathrm{3}}]{{x}}\:+\:\frac{\mathrm{1}}{\:\sqrt{{x}}}\right)^{\mathrm{15}} \\ $$$${Find}\:{the}\:{limit}\:{that}\:{does}\:{not}\:{inclued} \\ $$$${the}\:{variable}\:\boldsymbol{{x}}\:{in}\:{the}\:{opening}\:{of}\:{the} \\ $$$${binomial}. \\ $$

Question Number 148330 Answers: 1 Comments: 0

Question Number 148328 Answers: 2 Comments: 0

lim_(x→0) ((sin 2x+2sin^2 x−2sin x)/(cos x−cos^2 x)) =?

$$\:\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\mathrm{2x}+\mathrm{2sin}\:^{\mathrm{2}} \mathrm{x}−\mathrm{2sin}\:\mathrm{x}}{\mathrm{cos}\:\mathrm{x}−\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}}\:=? \\ $$

Question Number 148326 Answers: 1 Comments: 0

Find Lim_(x→∞) (e^x +x)

$${Find}\: \\ $$$${Li}\underset{{x}\rightarrow\infty} {{m}}\left({e}^{{x}} +{x}\right) \\ $$

Question Number 148324 Answers: 2 Comments: 0

x^2 −y^2 =3, find dy/dx

$${x}^{\mathrm{2}} −{y}^{\mathrm{2}} =\mathrm{3},\:{find}\:{dy}/{dx} \\ $$

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