Question and Answers Forum

If a body of 2kg mass is at a distance of 7200km from the centre of the earth . What would the acceleration due to gravity be at this point in the Earths field ? (a) 9.6m/s^2 (b) 10m/s^2 (c) 11.3m/s^2 (d) 12.7m/s^2 (e) 15.6m/s^2

$$\mathrm{If}\:\mathrm{a}\:\mathrm{body}\:\mathrm{of}\:\mathrm{2kg}\:\mathrm{mass}\:\mathrm{is}\:\mathrm{at}\:\mathrm{a}\:\mathrm{distance}\:\mathrm{of}\:\mathrm{7200km}\:\mathrm{from}\:\mathrm{the}\:\mathrm{centre}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{earth}\:.\:\mathrm{What}\:\mathrm{would}\:\mathrm{the}\:\mathrm{acceleration}\:\mathrm{due}\:\mathrm{to}\:\mathrm{gravity}\:\mathrm{be}\:\mathrm{at}\:\mathrm{this}\:\mathrm{point}\:\mathrm{in} \\ $$$$\mathrm{the}\:\mathrm{Earths}\:\mathrm{field}\:? \\ $$$$\left(\mathrm{a}\right)\:\mathrm{9}.\mathrm{6m}/\mathrm{s}^{\mathrm{2}} \:\left(\mathrm{b}\right)\:\mathrm{10m}/\mathrm{s}^{\mathrm{2}} \:\left(\mathrm{c}\right)\:\mathrm{11}.\mathrm{3m}/\mathrm{s}^{\mathrm{2}} \:\left(\mathrm{d}\right)\:\mathrm{12}.\mathrm{7m}/\mathrm{s}^{\mathrm{2}} \:\left(\mathrm{e}\right)\:\mathrm{15}.\mathrm{6m}/\mathrm{s}^{\mathrm{2}} \\ $$

Question Number 12414 Answers: 1 Comments: 0

does Σ_(i=1) ^∞ p_i converge, p_i ∈P

$$\mathrm{does}\:\underset{{i}=\mathrm{1}} {\overset{\infty} {\sum}}{p}_{{i}} \:\:\:\mathrm{converge},\:\:\:\:{p}_{{i}} \in\mathbb{P} \\ $$

Question Number 12405 Answers: 0 Comments: 1

how to prove that there exist infinitely many rationals between any two irrationals?

$${how}\:{to}\:{prove}\:{that}\:{there}\:{exist}\:{infinitely}\:{many}\:{rationals}\:{between}\:{any}\:{two}\:{irrationals}? \\ $$$$ \\ $$

Question Number 12403 Answers: 1 Comments: 0

f(x)=⌊x−(3/e)⌋+⌊x+(3/e)⌋⇒f(1)=?

$${f}\left({x}\right)=\lfloor{x}−\frac{\mathrm{3}}{{e}}\rfloor+\lfloor{x}+\frac{\mathrm{3}}{{e}}\rfloor\Rightarrow{f}\left(\mathrm{1}\right)=? \\ $$

Question Number 12402 Answers: 0 Comments: 2

12sgn(x^2 −x−20)+3≥0⇒ (ss)=?

$$\mathrm{12}{sgn}\left({x}^{\mathrm{2}} −{x}−\mathrm{20}\right)+\mathrm{3}\geqslant\mathrm{0}\Rightarrow \\ $$$$\left({ss}\right)=? \\ $$

Question Number 12401 Answers: 1 Comments: 1

∫_0 ^(2π) sgn(cosx)dx=?

$$\int_{\mathrm{0}} ^{\mathrm{2}\pi} {sgn}\left({cosx}\right){dx}=? \\ $$

Question Number 12394 Answers: 0 Comments: 0

Question Number 12386 Answers: 2 Comments: 0

f(x + (1/x)) = ((x^6 + 1)/(27)) f(x) = ?

$${f}\left({x}\:+\:\frac{\mathrm{1}}{{x}}\right)\:=\:\frac{{x}^{\mathrm{6}} \:+\:\mathrm{1}}{\mathrm{27}} \\ $$$${f}\left({x}\right)\:=\:? \\ $$

Question Number 12382 Answers: 2 Comments: 0

lim_(x→0) ((ln cos(3x))/(ln cos(2x)))

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\:\frac{\mathrm{ln}\:\mathrm{cos}\left(\mathrm{3x}\right)}{\mathrm{ln}\:\mathrm{cos}\left(\mathrm{2x}\right)} \\ $$

Question Number 12377 Answers: 3 Comments: 0

∫ ((√(1 + (√x)))/x) dx

$$\int\:\:\frac{\sqrt{\mathrm{1}\:+\:\sqrt{\mathrm{x}}}}{\mathrm{x}}\:\:\mathrm{dx} \\ $$

Question Number 12378 Answers: 1 Comments: 2

Prove that, sinθ + 2cosθ = 1

$$\mathrm{Prove}\:\mathrm{that}, \\ $$$$\mathrm{sin}\theta\:+\:\mathrm{2cos}\theta\:=\:\mathrm{1} \\ $$

Question Number 12368 Answers: 1 Comments: 0

Question Number 12365 Answers: 0 Comments: 5

Question Number 12361 Answers: 1 Comments: 0

((√2) +(√3) +2 + (√5))(−(√2) + (√3) + 2 − (√5))((√(10)) + 2(√3)) Can you solve this without solving them manually?

$$\left(\sqrt{\mathrm{2}}\:+\sqrt{\mathrm{3}}\:+\mathrm{2}\:+\:\sqrt{\mathrm{5}}\right)\left(−\sqrt{\mathrm{2}}\:+\:\sqrt{\mathrm{3}}\:+\:\mathrm{2}\:−\:\sqrt{\mathrm{5}}\right)\left(\sqrt{\mathrm{10}}\:+\:\mathrm{2}\sqrt{\mathrm{3}}\right) \\ $$$$ \\ $$$$\mathrm{Can}\:\mathrm{you}\:\mathrm{solve}\:\mathrm{this}\:\mathrm{without}\:\mathrm{solving}\:\mathrm{them}\:\mathrm{manually}? \\ $$

Question Number 12359 Answers: 1 Comments: 0

Question Number 12371 Answers: 0 Comments: 0

tank you

$${tank}\:{you} \\ $$$$ \\ $$

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