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Question Number 208639    Answers: 3   Comments: 3

Question Number 209957    Answers: 1   Comments: 0

If x, y are contain in natural numbers and x² + y² = 613² Find the values of x + y = ?

If x, y are contain in natural numbers and x² + y² = 613² Find the values of x + y = ?

Question Number 208634    Answers: 0   Comments: 0

Question Number 208632    Answers: 1   Comments: 1

∫e^(−x^2 ) dx could this be integrated by part? What approach would most likely be suitable for this integral?

$$\int{e}^{−{x}^{\mathrm{2}} } {dx} \\ $$$${could}\:{this}\:{be}\:{integrated}\:{by}\:{part}?\:{What} \\ $$$${approach}\:{would}\:{most}\:{likely}\:{be}\:{suitable} \\ $$$${for}\:{this}\:{integral}? \\ $$$$ \\ $$

Question Number 208629    Answers: 0   Comments: 0

Question Number 208624    Answers: 1   Comments: 0

Question Number 208623    Answers: 1   Comments: 0

solve for x, 3^x −2^x =65

$$\mathrm{solve}\:\mathrm{for}\:\mathrm{x},\:\mathrm{3}^{\mathrm{x}} −\mathrm{2}^{\mathrm{x}} =\mathrm{65} \\ $$

Question Number 208619    Answers: 1   Comments: 0

If O is the othocentre of a ∆ and

If O is the othocentre of a ∆ and <AOC=78°.The measure of <ABC is?

Question Number 208617    Answers: 1   Comments: 0

Question Number 208608    Answers: 2   Comments: 0

Question Number 208594    Answers: 4   Comments: 0

Find x+3^x <4

$${Find} \\ $$$${x}+\mathrm{3}^{{x}} <\mathrm{4} \\ $$

Question Number 208591    Answers: 1   Comments: 0

Question Number 208581    Answers: 1   Comments: 2

Question Number 208569    Answers: 0   Comments: 0

help me to solve this please y′′−(√(1+y′^2 ))=x^2 solve this differential equation

$$\boldsymbol{{help}}\:\boldsymbol{{me}}\:\boldsymbol{{to}}\:\boldsymbol{{solve}}\:\boldsymbol{{this}}\:\boldsymbol{{please}} \\ $$$$\:\:\boldsymbol{{y}}''−\sqrt{\mathrm{1}+\boldsymbol{{y}}'^{\mathrm{2}} }=\boldsymbol{{x}}^{\mathrm{2}} \\ $$$$\boldsymbol{{solve}}\:\boldsymbol{{this}}\:\boldsymbol{{differential}}\:\boldsymbol{{equation}} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

Question Number 208567    Answers: 3   Comments: 0

Question Number 208637    Answers: 3   Comments: 0

s

$$\:\:\:{s} \\ $$

Question Number 208555    Answers: 1   Comments: 0

can you find any arrangement of nine digits of 1−9 such as 967854312 and the first digit should be divisible by 1 thefirst two digitds should be divisible by 2 the first three digitds should be divisible by 3 ...... the number should be fivisible by 9 if is such a number available

$${can}\:{you}\:{find}\:{any}\:{arrangement}\:{of}\:{nine}\:{digits}\:{of}\:\mathrm{1}−\mathrm{9} \\ $$$${such}\:{as}\:\mathrm{967854312} \\ $$$${and}\:{the}\:{first}\:{digit}\:{should}\:{be}\:{divisible}\:{by}\:\mathrm{1} \\ $$$${thefirst}\:{two}\:{digitds}\:{should}\:{be}\:{divisible}\:{by}\:\mathrm{2} \\ $$$${the}\:{first}\:{three}\:{digitds}\:{should}\:{be}\:{divisible}\:{by}\:\mathrm{3}\: \\ $$$$...... \\ $$$${the}\:{number}\:{should}\:{be}\:{fivisible}\:{by}\:\mathrm{9} \\ $$$${if}\:{is}\:{such}\:{a}\:{number}\:{available} \\ $$

Question Number 208554    Answers: 2   Comments: 0

Question Number 208553    Answers: 3   Comments: 0

$$\:\:\:\cancel{ } \\ $$

Question Number 208540    Answers: 2   Comments: 0

Question Number 208533    Answers: 2   Comments: 0

z′ = (1/2)(z+(1/z)) z and z′ are complex numbers show that z = 2e^(iθ) show that M′ describes a conic section

$${z}'\:=\:\frac{\mathrm{1}}{\mathrm{2}}\left({z}+\frac{\mathrm{1}}{{z}}\right) \\ $$$${z}\:{and}\:{z}'\:{are}\:{complex}\:{numbers} \\ $$$${show}\:{that}\:{z}\:=\:\mathrm{2}{e}^{{i}\theta} \\ $$$${show}\:{that}\:{M}'\:{describes}\:{a}\:{conic}\:{section} \\ $$

Question Number 208526    Answers: 1   Comments: 2

Question Number 208520    Answers: 1   Comments: 0

Question Number 208519    Answers: 1   Comments: 0

If a^x = b^y (a/x) + (b/y) = 1 then, a^x + b^y = ?

$$\mathrm{If}\:\:\:\:\:\mathrm{a}^{\mathrm{x}} \:\:=\:\:\mathrm{b}^{\mathrm{y}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\frac{\mathrm{a}}{\mathrm{x}}\:\:+\:\:\frac{\mathrm{b}}{\mathrm{y}}\:\:=\:\:\mathrm{1} \\ $$$$\mathrm{then},\:\:\:\:\mathrm{a}^{\mathrm{x}} \:\:+\:\:\mathrm{b}^{\mathrm{y}} \:\:=\:\:? \\ $$

Question Number 208515    Answers: 0   Comments: 0

∫_0 ^( ∞) ((ln^2 x)/(1+x^4 )) dx

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

Question Number 208508    Answers: 1   Comments: 0

Evaluate and leave your answer in exponent form. 5^(2024) − 5^(2023) − 5^(2022) − 5^(2021) − 5^(2020) − 5^(2019) = ?

$$\mathrm{Evaluate}\:\mathrm{and}\:\mathrm{leave}\:\mathrm{your}\:\mathrm{answer}\:\mathrm{in}\:\mathrm{exponent}\:\mathrm{form}. \\ $$$$\mathrm{5}^{\mathrm{2024}} \:−\:\:\mathrm{5}^{\mathrm{2023}} \:\:−\:\:\mathrm{5}^{\mathrm{2022}} \:\:−\:\:\mathrm{5}^{\mathrm{2021}} \:\:−\:\:\mathrm{5}^{\mathrm{2020}} \:\:−\:\:\mathrm{5}^{\mathrm{2019}} \:\:=\:\:? \\ $$

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