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Question Number 111383 Answers: 1 Comments: 0

lim_(s→∞) (√(20s^2 +2s))−(√(5s^2 +1))−(√(5s^2 −2s))

$$\:\:\underset{{s}\rightarrow\infty} {\mathrm{lim}}\sqrt{\mathrm{20}{s}^{\mathrm{2}} +\mathrm{2}{s}}−\sqrt{\mathrm{5}{s}^{\mathrm{2}} +\mathrm{1}}−\sqrt{\mathrm{5}{s}^{\mathrm{2}} −\mathrm{2}{s}} \\ $$

Question Number 111382 Answers: 2 Comments: 1

Question Number 111377 Answers: 0 Comments: 0

A baggage tractor pulling luggage carts from an airplane. The tractor has mass 6500 kg while cart A has mass 2500 kg and cart B has mass 150 kg. The driving force acting for a brief period of time accelerates the system from rest and acts for 3s. (a) If this driving force is given by F=820N. find the speed after 3s (b) Wat is the horizontal force acting on the conneting cable between the tractor and cart A at this instant

$$ \\ $$$$\mathrm{A}\:\mathrm{baggage}\:\mathrm{tractor}\:\mathrm{pulling}\:\mathrm{luggage}\:\mathrm{carts}\:\mathrm{fro}{m}\:{an} \\ $$$$\:\mathrm{airplane}.\:\mathrm{The}\:\mathrm{tractor}\:\mathrm{has}\:\mathrm{mass}\:\mathrm{6500}\:\mathrm{kg}\:\mathrm{while} \\ $$$${c}\mathrm{art}\:\mathrm{A}\:\mathrm{has}\:\mathrm{mass}\:\mathrm{2500}\:\mathrm{kg}\:\mathrm{and}\:\mathrm{cart}\:\mathrm{B}\:\mathrm{has}\:\mathrm{mass} \\ $$$$\mathrm{150}\:\mathrm{kg}.\:\mathrm{The}\:\mathrm{driving}\:\mathrm{force}\:\mathrm{acting}\:\mathrm{for}\:\mathrm{a}\:\mathrm{brief} \\ $$$$\mathrm{perio}{d}\:\mathrm{of}\:\mathrm{time}\:\mathrm{accelerates}\:\mathrm{the}\:\mathrm{system}\:\mathrm{from}\:\mathrm{rest} \\ $$$$\mathrm{a}{n}\mathrm{d}\:\mathrm{acts}\:\mathrm{for}\:\mathrm{3}{s}.\:\left(\mathrm{a}\right)\:\mathrm{If}\:\mathrm{this}\:\mathrm{driving}\:\mathrm{force}\:\mathrm{is}\:\mathrm{given} \\ $$$$\mathrm{b}{y}\:\mathrm{F}=\mathrm{820}{N}.\:\mathrm{find}\:\mathrm{the}\:\mathrm{speed}\:\mathrm{after}\:\mathrm{3}{s}\:\left({b}\right) \\ $$$$\mathrm{Wat}\:\mathrm{is}\:\mathrm{the}\:\mathrm{horizontal}\:\mathrm{force}\:\mathrm{acting}\:\mathrm{on}\:\mathrm{the} \\ $$$$\mathrm{conneting}\:\mathrm{cable}\:\mathrm{between}\:\mathrm{the}\:\mathrm{tractor}\:\mathrm{and}\:\mathrm{cart}\:\:{A}\: \\ $$$$\mathrm{at}\:\mathrm{this}\:\mathrm{instant} \\ $$

Question Number 111374 Answers: 1 Comments: 1

Question Number 111365 Answers: 0 Comments: 0

Question Number 111471 Answers: 0 Comments: 0

using power expension, compute the follplowing limit as a function of α>0 lim_(x→0^+ ) ((x^(7/2) ln(x)−sinh(x^2 )+cosh(ln(1−(√2)x))−1)/x^α )

$${using}\:{power}\:{expension},\:{compute}\:{the}\:{follplowing} \\ $$$${limit}\:{as}\:{a}\:{function}\:{of}\:\alpha>\mathrm{0} \\ $$$$ \\ $$$$\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:\frac{{x}^{\frac{\mathrm{7}}{\mathrm{2}}} {ln}\left({x}\right)−{sinh}\left({x}^{\mathrm{2}} \right)+{cosh}\left({ln}\left(\mathrm{1}−\sqrt{\mathrm{2}}{x}\right)\right)−\mathrm{1}}{{x}^{\alpha} } \\ $$

Question Number 111357 Answers: 0 Comments: 0

∫_0 ^1 ((tan^(−1) x)/(1+x^3 ))dx

$$\:\:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{tan}^{−\mathrm{1}} {x}}{\mathrm{1}+{x}^{\mathrm{3}} }{dx} \\ $$

Question Number 111351 Answers: 2 Comments: 0

(√(bemath)) lim_(x→−∞) ((x−(√(4x^2 +1)))/( (√(x^2 +2x+1)))) ?

$$\:\:\:\sqrt{\mathrm{bemath}} \\ $$$$\underset{{x}\rightarrow−\infty} {\mathrm{lim}}\:\frac{\mathrm{x}−\sqrt{\mathrm{4x}^{\mathrm{2}} +\mathrm{1}}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{2x}+\mathrm{1}}}\:? \\ $$

Question Number 111347 Answers: 0 Comments: 0

convert the plane with cartesian equation: x−3y + 2z = 7 into its vector parametric form.

$$\mathrm{convert}\:\mathrm{the}\:\mathrm{plane}\:\mathrm{with}\:\mathrm{cartesian}\:\mathrm{equation}:\:{x}−\mathrm{3}{y}\:+\:\mathrm{2}{z}\:=\:\mathrm{7} \\ $$$$\:\mathrm{into}\:\mathrm{its}\:\mathrm{vector}\:\mathrm{parametric}\:\mathrm{form}. \\ $$$$ \\ $$

Question Number 111344 Answers: 0 Comments: 3

(√3)!=?

$$\sqrt{\mathrm{3}}!=? \\ $$

Question Number 111343 Answers: 0 Comments: 1

i!=?

$${i}!=? \\ $$

Question Number 111342 Answers: 1 Comments: 0

When the terms of a Geometric Progression(GP) with common ratio r=2 is added to the corresponding terms of an Arithmetic Provression (AP), a new sequence is formed. If the first terms of the GP and AP are the same and the first three terms of the new sequence are 3, 7 and 11 respectively, find the n^(th) term of the seauence.

Question Number 111340 Answers: 1 Comments: 2