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Question Number 186447 Answers: 0 Comments: 1

Question Number 186446 Answers: 0 Comments: 0

Question Number 186445 Answers: 1 Comments: 0

Show that the function y = ∣ x −5 ∣ has no derivative at x = 5.

$$\mathrm{Show}\:\:\mathrm{that}\:\:\mathrm{the}\:\:\mathrm{function}\:\:\mathrm{y}\:=\:\:\mid\:\mathrm{x}\:−\mathrm{5}\:\mid\:\:\mathrm{has}\:\:\mathrm{no}\:\:\mathrm{derivative}\:\:\mathrm{at}\:\:\mathrm{x}\:\:=\:\mathrm{5}. \\ $$

Question Number 186442 Answers: 2 Comments: 0

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Question Number 186439 Answers: 1 Comments: 1

Question Number 186437 Answers: 1 Comments: 2

∫_0 ^( 1) (1/( (√(x(√(x^2 (√(x^3 (√(x^4 +1)))))))) )) dx

$$ \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{1}}{\:\sqrt{{x}\sqrt{{x}^{\mathrm{2}} \sqrt{{x}^{\mathrm{3}} \sqrt{{x}^{\mathrm{4}} +\mathrm{1}}}}}\:}\:{dx} \\ $$$$\: \\ $$

Question Number 186419 Answers: 3 Comments: 0

If , (( 1 − lo^ g_( 2) (x)))^(1/3) + ((1+^ log_( 2) (x)))^(1/3) −1=0 ⇒ x = ?

$$ \\ $$$$\:\:\mathrm{I}{f}\:,\:\sqrt[{\mathrm{3}}]{\:\mathrm{1}\:−\:{l}\overset{} {{o}g}_{\:\mathrm{2}} \left({x}\right)}\:\:+\:\sqrt[{\mathrm{3}}]{\mathrm{1}\overset{} {+}{log}_{\:\mathrm{2}} \left({x}\right)}\:−\mathrm{1}=\mathrm{0}\:\:\:\:\:\:\:\: \\ $$$$ \\ $$$$\:\:\:\:\:\:\Rightarrow\:\:\:{x}\:=\:?\:\:\:\: \\ $$

Question Number 186416 Answers: 1 Comments: 1

Question Number 186410 Answers: 1 Comments: 1

Question Number 186403 Answers: 0 Comments: 0

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Question Number 186401 Answers: 1 Comments: 0

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Question Number 186376 Answers: 1 Comments: 0

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

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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