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Question Number 101762 Answers: 0 Comments: 2

Question Number 101756 Answers: 2 Comments: 0

∫ ((3x^2 −11x+6)/((x^2 +1)(x−5))) dx

$$\int\:\frac{\mathrm{3}{x}^{\mathrm{2}} −\mathrm{11}{x}+\mathrm{6}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}−\mathrm{5}\right)}\:{dx}\: \\ $$

Question Number 101742 Answers: 3 Comments: 0

{ ((ab+a+b = 5)),((bc + b+c = 14)),((ac + a+c = 9)) :} find a+b+c = ___

$$\begin{cases}{{ab}+{a}+{b}\:=\:\mathrm{5}}\\{{bc}\:+\:{b}+{c}\:=\:\mathrm{14}}\\{{ac}\:+\:{a}+{c}\:=\:\mathrm{9}}\end{cases} \\ $$$$\mathrm{find}\:{a}+{b}+{c}\:=\:\_\_\_ \\ $$

Question Number 101747 Answers: 1 Comments: 0

∫(x^((−1)/2) /(1+x^(1/3) ))dx

$$\int\frac{{x}^{\frac{−\mathrm{1}}{\mathrm{2}}} }{\mathrm{1}+{x}^{\frac{\mathrm{1}}{\mathrm{3}}} }{dx} \\ $$

Question Number 101732 Answers: 2 Comments: 1

There are 10 identical mathematics books, 7 identical physics books and 5 identical chemistry books. Find the number of ways to compile the books under the condition that same books are not mutually adjacent.

$$\mathrm{There}\:\mathrm{are}\:\mathrm{10}\:\mathrm{identical}\:\mathrm{mathematics} \\ $$$$\mathrm{books},\:\mathrm{7}\:\mathrm{identical}\:\mathrm{physics}\:\mathrm{books} \\ $$$$\mathrm{and}\:\mathrm{5}\:\mathrm{identical}\:\mathrm{chemistry}\:\mathrm{books}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{ways}\:\mathrm{to}\:\mathrm{compile}\: \\ $$$$\mathrm{the}\:\mathrm{books}\:\mathrm{under}\:\mathrm{the}\:\mathrm{condition}\:\mathrm{that} \\ $$$$\mathrm{same}\:\mathrm{books}\:\mathrm{are}\:\mathrm{not}\:\mathrm{mutually}\:\mathrm{adjacent}. \\ $$

Question Number 101715 Answers: 0 Comments: 1

Deleted a few comments.

$$\mathrm{Deleted}\:\mathrm{a}\:\mathrm{few}\:\mathrm{comments}. \\ $$

Question Number 101713 Answers: 3 Comments: 0

Let a and b be positive numbers satisfying a^2 + b^2 = 5, If a cos(θ) − b sin(θ) = 1, find a sin(θ) + b(cosθ)

$$\mathrm{Let}\:\:\:\mathrm{a}\:\:\mathrm{and}\:\:\mathrm{b}\:\:\mathrm{be}\:\mathrm{positive}\:\mathrm{numbers}\:\mathrm{satisfying}\:\:\:\mathrm{a}^{\mathrm{2}} \:\:+\:\:\mathrm{b}^{\mathrm{2}} \:\:=\:\:\mathrm{5}, \\ $$$$\mathrm{If}\:\:\:\:\mathrm{a}\:\mathrm{cos}\left(\theta\right)\:\:−\:\:\mathrm{b}\:\mathrm{sin}\left(\theta\right)\:\:=\:\:\mathrm{1},\:\:\:\:\:\mathrm{find}\:\:\:\:\mathrm{a}\:\mathrm{sin}\left(\theta\right)\:\:+\:\:\mathrm{b}\left(\mathrm{cos}\theta\right) \\ $$

Question Number 105246 Answers: 4 Comments: 0

lim_(x→0) (cosx)^(1/x^2 )

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\mathrm{cos}{x}\right)^{\frac{\mathrm{1}}{{x}^{\mathrm{2}} }} \\ $$

Question Number 101730 Answers: 0 Comments: 3

Version 2.091 is available: - Slightly darker characters are used by default. A preference setting is available to revert to previous font. Change setting and restart app. - A new menu option mark as answered is added. This just mark as answered so that question will not show in unanswered question search.

$$\mathrm{Version}\:\mathrm{2}.\mathrm{091}\:\mathrm{is}\:\mathrm{available}: \\ $$$$-\:\mathrm{Slightly}\:\mathrm{darker}\:\mathrm{characters}\:\mathrm{are} \\ $$$$\:\:\:\:\mathrm{used}\:\mathrm{by}\:\mathrm{default}. \\ $$$$\:\:\:\:\mathrm{A}\:\mathrm{preference}\:\mathrm{setting}\:\mathrm{is}\:\mathrm{available} \\ $$$$\:\:\:\:\mathrm{to}\:\mathrm{revert}\:\mathrm{to}\:\mathrm{previous}\:\mathrm{font}. \\ $$$$\:\:\:\:\mathrm{Change}\:\mathrm{setting}\:\mathrm{and}\:\mathrm{restart}\:\mathrm{app}. \\ $$$$-\:\mathrm{A}\:\mathrm{new}\:\mathrm{menu}\:\mathrm{option}\:\mathrm{mark}\:\mathrm{as} \\ $$$$\:\:\:\mathrm{answered}\:\mathrm{is}\:\mathrm{added}.\:\mathrm{This}\:\mathrm{just}\:\mathrm{mark} \\ $$$$\:\:\:\mathrm{as}\:\mathrm{answered}\:\mathrm{so}\:\mathrm{that}\:\mathrm{question}\:\mathrm{will} \\ $$$$\:\:\:\mathrm{not}\:\mathrm{show}\:\mathrm{in}\:\mathrm{unanswered}\:\mathrm{question} \\ $$$$\:\:\:\mathrm{search}. \\ $$

Question Number 101693 Answers: 3 Comments: 2

There are 4 identical mathematics books, 2 identic physics books and 2 identical chemistry books . How many ways to compile the eight books on the condition of the same book are not mutually adjacent?

$$\mathrm{There}\:\mathrm{are}\:\mathrm{4}\:\mathrm{identical}\:\mathrm{mathematics} \\ $$$$\mathrm{books},\:\mathrm{2}\:\mathrm{identic}\:\mathrm{physics}\:\mathrm{books} \\ $$$$\mathrm{and}\:\mathrm{2}\:\mathrm{identical}\:\mathrm{chemistry}\:\mathrm{books} \\ $$$$.\:\mathrm{How}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{to}\:\mathrm{compile}\: \\ $$$$\mathrm{the}\:\mathrm{eight}\:\mathrm{books}\:\mathrm{on}\:\mathrm{the}\:\mathrm{condition} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{same}\:\mathrm{book}\:\mathrm{are}\:\mathrm{not}\:\mathrm{mutually} \\ $$$$\mathrm{adjacent}? \\ $$

Question Number 101686 Answers: 0 Comments: 5

Question Number 105306 Answers: 1 Comments: 1

(1/(2+(√2))) +(1/(3(√2)+2(√3) ))+(1/(4(√3)+3(√4)))+...+(1/(100(√(99))+99(√(100))))

$$\frac{\mathrm{1}}{\mathrm{2}+\sqrt{\mathrm{2}}}\:+\frac{\mathrm{1}}{\mathrm{3}\sqrt{\mathrm{2}}+\mathrm{2}\sqrt{\mathrm{3}}\:}+\frac{\mathrm{1}}{\mathrm{4}\sqrt{\mathrm{3}}+\mathrm{3}\sqrt{\mathrm{4}}}+...+\frac{\mathrm{1}}{\mathrm{100}\sqrt{\mathrm{99}}+\mathrm{99}\sqrt{\mathrm{100}}} \\ $$

Question Number 101680 Answers: 2 Comments: 0

Question Number 101671 Answers: 0 Comments: 0

What is the set of point M in each case: 1) ∣∣6MG^(→) ∣∣=∣∣−2GC^(→) ∣∣ 2) (6MG^(→) )×(−2GC^(→) )=0

$${What}\:{is}\:{the}\:{set}\:{of}\:{point}\:{M}\:{in}\:{each} \\ $$$${case}: \\ $$$$\left.\mathrm{1}\right)\:\:\:\:\mid\mid\mathrm{6}\overset{\rightarrow} {{MG}}\mid\mid=\mid\mid−\mathrm{2}\overset{\rightarrow} {{GC}}\mid\mid \\ $$$$\left.\mathrm{2}\right)\:\:\:\:\left(\mathrm{6}\overset{\rightarrow} {{MG}}\right)×\left(−\mathrm{2}\overset{\rightarrow} {{GC}}\right)=\mathrm{0} \\ $$

Question Number 105250 Answers: 1 Comments: 0

(1/(1×3))+(2/(1×3×5))+(3/(1×3×5×7))+.........n−terms Find sum

$$\frac{\mathrm{1}}{\mathrm{1}×\mathrm{3}}+\frac{\mathrm{2}}{\mathrm{1}×\mathrm{3}×\mathrm{5}}+\frac{\mathrm{3}}{\mathrm{1}×\mathrm{3}×\mathrm{5}×\mathrm{7}}+.........\mathrm{n}−\mathrm{terms} \\ $$$$\mathrm{Find}\:\mathrm{sum} \\ $$

Question Number 101650 Answers: 2 Comments: 1

Question Number 101658 Answers: 1 Comments: 0

solve in R x^3 −4x−1=0

$${solve}\:{in}\:\mathbb{R} \\ $$$${x}^{\mathrm{3}} −\mathrm{4}{x}−\mathrm{1}=\mathrm{0} \\ $$

Question Number 101645 Answers: 1 Comments: 0

E is a vectorial plane in B=(i^→ ,j^→ ) base. f is an endomorphism of E. f(i^→ )=4i^→ −j^→ and f(j^→ )=2i^→ +j^→ . u^→ =xi^→ +yj^→ ∈ E and x,y ∈ R. 1) Determinate f^( −1) (u).

Question Number 101641 Answers: 0 Comments: 1

hello every one for any user here please stop saying (please help me or who can help me or who is intellegent or.......) just post your question and if we can help you we will do.

$${hello}\:{every}\:{one} \\ $$$${for}\:{any}\:{user}\:{here}\:{please}\:{stop}\:{saying} \\ $$$$\left({please}\:{help}\:{me}\:{or}\:{who}\:{can}\:{help}\:{me}\:{or}\right. \\ $$$$\left.{who}\:{is}\:{intellegent}\:{or}.......\right) \\ $$$${just}\:{post}\:{your}\:{question}\:{and}\:{if}\:{we}\:{can} \\ $$$${help}\:{you}\:{we}\:{will}\:{do}. \\ $$$$ \\ $$

Question Number 101633 Answers: 1 Comments: 2

∫x^x^x ∙x^x ∙x dx=?

$$\int\mathrm{x}^{\mathrm{x}^{\mathrm{x}} } \centerdot\mathrm{x}^{\mathrm{x}} \centerdot\mathrm{x}\:\mathrm{dx}=? \\ $$

Question Number 101625 Answers: 0 Comments: 1