Question and Answers Forum

All Questions   Topic List

AllQuestion and Answers: Page 322

Question Number 186370    Answers: 1   Comments: 0

A gear with outer radius of r'=5cm move in a clockwise direction causing an interlocking gear with an outer radius of r"=4cm to move in a counter-clockwise direction at an angular speed of w"=25rev/min. What is the angular speed (w') in the outer gear.

$$ \\ $$A gear with outer radius of r'=5cm move in a clockwise direction causing an interlocking gear with an outer radius of r"=4cm to move in a counter-clockwise direction at an angular speed of w"=25rev/min. What is the angular speed (w') in the outer gear.

Question Number 186361    Answers: 1   Comments: 1

Question Number 186359    Answers: 2   Comments: 0

Question Number 186348    Answers: 0   Comments: 2

QUIZ: If the sum of the numbers 1 to 100 can be calculated with Carl Gauss′s method, then How do we calculate the sum of the numbers starting from 2 and going up to 100 by twos in an easy way with the same method? Or 2+4+6+8+10+...+100=?

$$\mathrm{Q}{UIZ}: \\ $$$${If}\:{the}\:{sum}\:{of}\:{the}\:{numbers}\:\mathrm{1}\:{to}\:\mathrm{100}\:{can} \\ $$$${be}\:{calculated}\:{with}\:{Carl}\:{Gauss}'{s}\:{method}, \\ $$$${then}\:{How}\:{do}\:{we}\:{calculate}\:{the}\:{sum}\:{of}\:{the} \\ $$$${numbers}\:{starting}\:{from}\:\mathrm{2}\:{and}\:{going}\:{up}\:{to} \\ $$$$\mathrm{100}\:{by}\:{twos}\:{in}\:{an}\:{easy}\:{way}\:{with}\:{the}\:{same} \\ $$$${method}? \\ $$$${Or}\:\mathrm{2}+\mathrm{4}+\mathrm{6}+\mathrm{8}+\mathrm{10}+...+\mathrm{100}=? \\ $$

Question Number 186347    Answers: 1   Comments: 1

∫_(−2) ^2 ((x^5 − 1 + 2)/(x^4 + x −2)) dx

$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\underset{−\mathrm{2}} {\overset{\mathrm{2}} {\int}}\:\:\:\:\frac{\boldsymbol{{x}}^{\mathrm{5}} \:−\:\:\mathrm{1}\:\:+\:\:\mathrm{2}}{\boldsymbol{{x}}^{\mathrm{4}} \:\:+\:\:\boldsymbol{{x}}\:\:−\mathrm{2}}\:\:\:\:\boldsymbol{{dx}}\:\:\:\:\:\:\: \\ $$$$ \\ $$

Question Number 186346    Answers: 0   Comments: 0

if S_a =cos(a)+sin(x+a) then ∫(S_1 /S_2 )−((x+S_1 )/(x−S_3 ))=?

$${if}\:{S}_{{a}} =\mathrm{cos}\left({a}\right)+\mathrm{sin}\left({x}+{a}\right) \\ $$$${then}\:\int\frac{{S}_{\mathrm{1}} }{{S}_{\mathrm{2}} }−\frac{{x}+{S}_{\mathrm{1}} }{{x}−{S}_{\mathrm{3}} }=? \\ $$

Question Number 186345    Answers: 1   Comments: 0

Question Number 186337    Answers: 1   Comments: 1

Question Number 186331    Answers: 0   Comments: 5

How many possibilities are there for picking random numbers that ranges from 1-3 that sum up to 7?

$$ \\ $$How many possibilities are there for picking random numbers that ranges from 1-3 that sum up to 7?

Question Number 186330    Answers: 0   Comments: 1

Question Number 186329    Answers: 1   Comments: 0

Question Number 186327    Answers: 0   Comments: 0

lim_(x→0) (((2/3)x^4 +x^2 −tan^2 x)/x^6 ) =?

$$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\frac{\mathrm{2}}{\mathrm{3}}{x}^{\mathrm{4}} +{x}^{\mathrm{2}} −\mathrm{tan}\:^{\mathrm{2}} {x}}{{x}^{\mathrm{6}} }\:=? \\ $$

Question Number 186323    Answers: 1   Comments: 1

Question Number 186322    Answers: 1   Comments: 0

Question Number 186321    Answers: 3   Comments: 0

Question Number 186320    Answers: 1   Comments: 0

Question Number 186310    Answers: 1   Comments: 0

((∫x(x^2 +5)^(1/2) dx − 3∫x(x^2 +5)^(−1/2) dx)/(∫ ((x[(x^2 +5)−3])/( (√(x^2 +5 )))) dx)) =??

$$ \\ $$$$\:\:\:\frac{\int\boldsymbol{{x}}\left(\boldsymbol{{x}}^{\mathrm{2}} +\mathrm{5}\right)^{\mathrm{1}/\mathrm{2}} \boldsymbol{{dx}}\:−\:\mathrm{3}\int\boldsymbol{{x}}\left(\boldsymbol{{x}}^{\mathrm{2}} +\mathrm{5}\right)^{−\mathrm{1}/\mathrm{2}} \:\boldsymbol{{dx}}}{\int\:\:\frac{\boldsymbol{{x}}\left[\left(\boldsymbol{{x}}^{\mathrm{2}} +\mathrm{5}\right)−\mathrm{3}\right]}{\:\sqrt{\boldsymbol{{x}}^{\mathrm{2}} +\mathrm{5}\:\:}}\:\boldsymbol{{dx}}}\:=??\:\:\:\: \\ $$$$ \\ $$

Question Number 186306    Answers: 0   Comments: 2

Evaluate ∫((ln(sin x))/(ln(tan x)+1)) dx

$$\mathrm{Evaluate}\:\int\frac{\mathrm{ln}\left(\mathrm{sin}\:{x}\right)}{\mathrm{ln}\left(\mathrm{tan}\:{x}\right)+\mathrm{1}}\:{dx} \\ $$

Question Number 186305    Answers: 0   Comments: 3

log (((3.2^ )/(3.1^ ))) find Characteristic?

$$\mathrm{log}\:\left(\frac{\mathrm{3}.\bar {\mathrm{2}}}{\mathrm{3}.\bar {\mathrm{1}}}\right)\:\:\:\:\:\:\:{find}\:\mathrm{Characteristic}? \\ $$

Question Number 186302    Answers: 1   Comments: 3

Question Number 186301    Answers: 1   Comments: 0

∫5x+6^x dx

$$\int\mathrm{5}{x}+\mathrm{6}^{{x}} {dx} \\ $$

Question Number 186300    Answers: 1   Comments: 0

solve in R ⌊ 2log_( 8) (x) + (1/3) ⌋ = log_( 4) (x )+ (1/2)

$$\:\:\: \\ $$$$\:\:\:\:\:\mathrm{solve}\:\:\mathrm{in}\:\:\:\mathbb{R} \\ $$$$ \\ $$$$\:\:\:\lfloor\:\:\mathrm{2log}_{\:\mathrm{8}} \left({x}\right)\:+\:\frac{\mathrm{1}}{\mathrm{3}}\:\rfloor\:=\:\mathrm{log}_{\:\mathrm{4}} \left({x}\:\right)+\:\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$ \\ $$

Question Number 186298    Answers: 1   Comments: 0

Question Number 186597    Answers: 1   Comments: 0

Question Number 186594    Answers: 5   Comments: 1

Question Number 186293    Answers: 0   Comments: 4

  Pg 317      Pg 318      Pg 319      Pg 320      Pg 321      Pg 322      Pg 323      Pg 324      Pg 325      Pg 326   

Terms of Service

Privacy Policy

Contact: info@tinkutara.com