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Question Number 71986 Answers: 1 Comments: 0

Question Number 71984 Answers: 1 Comments: 0

x, y ∈ I ⊂ R prove that ∣cosx − siny∣ ≤ ∣x − y∣

$$\:{x},\:{y}\:\in\:{I}\:\subset\:\mathbb{R}\:\:{prove}\:\:{that}\:\:\mid{cosx}\:−\:{siny}\mid\:\leqslant\:\mid{x}\:−\:{y}\mid \\ $$

Question Number 71983 Answers: 1 Comments: 0

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Question Number 74587 Answers: 0 Comments: 0

If sum of n arithmetic means between two number is 20.if last mean is double of 1st mean and one is three times of another number. find the numbers.

$$\mathrm{If}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{n}\:\mathrm{arithmetic}\:\mathrm{means}\:\mathrm{between}\: \\ $$$$\mathrm{two}\:\mathrm{number}\:\mathrm{is}\:\mathrm{20}.\mathrm{if}\:\mathrm{last}\:\mathrm{mean}\:\mathrm{is}\:\mathrm{double} \\ $$$$\mathrm{of}\:\mathrm{1st}\:\mathrm{mean}\:\mathrm{and}\:\mathrm{one}\:\mathrm{is}\:\mathrm{three}\:\mathrm{times}\:\mathrm{of} \\ $$$$\mathrm{another}\:\mathrm{number}.\:\mathrm{find}\:\mathrm{the}\:\mathrm{numbers}. \\ $$$$ \\ $$

Question Number 71972 Answers: 0 Comments: 2

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Question Number 71964 Answers: 5 Comments: 1

Question Number 71960 Answers: 1 Comments: 0

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Question Number 71955 Answers: 1 Comments: 1

Question Number 71946 Answers: 1 Comments: 0

Question Number 71939 Answers: 1 Comments: 1

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Question Number 71925 Answers: 1 Comments: 0

Solve (√(1 − x^2 )) = x^(4/3)

$$\:\boldsymbol{{Solve}}\:\:\sqrt{\mathrm{1}\:−\:\boldsymbol{{x}}^{\mathrm{2}} }\:=\:\boldsymbol{{x}}^{\mathrm{4}/\mathrm{3}} \\ $$

Question Number 71921 Answers: 0 Comments: 0

Question Number 72062 Answers: 1 Comments: 2

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Question Number 71903 Answers: 2 Comments: 0

ax + by = 3 ax^2 + by^2 = 7 ax^3 + by^3 = 16 ax^4 + by^4 = 42 ax^5 + by^5 = ?

$${ax}\:+\:{by}\:\:=\:\:\mathrm{3} \\ $$$${ax}^{\mathrm{2}} \:+\:{by}^{\mathrm{2}} \:\:=\:\:\mathrm{7} \\ $$$${ax}^{\mathrm{3}} \:+\:{by}^{\mathrm{3}} \:\:=\:\:\mathrm{16} \\ $$$${ax}^{\mathrm{4}} \:+\:{by}^{\mathrm{4}} \:\:=\:\:\mathrm{42} \\ $$$${ax}^{\mathrm{5}} \:+\:{by}^{\mathrm{5}} \:\:=\:\:? \\ $$$$ \\ $$

Question Number 71926 Answers: 1 Comments: 2

Question Number 71894 Answers: 0 Comments: 1

lim_(x→(π/2)) (sin x)^(tanx)

$$\underset{{x}\rightarrow\frac{\pi}{\mathrm{2}}} {\mathrm{lim}}\left(\mathrm{sin}\:\mathrm{x}\right)^{\mathrm{tanx}} \\ $$

Question Number 71991 Answers: 1 Comments: 0

Question Number 71886 Answers: 0 Comments: 0

Question Number 71868 Answers: 0 Comments: 3

Question Number 71864 Answers: 1 Comments: 2

Draw the graph of : x=∣y∣ (√(1−y^2 ))

$${Draw}\:{the}\:{graph}\:{of}\:: \\ $$$${x}=\mid{y}\mid\:\sqrt{\mathrm{1}−{y}^{\mathrm{2}} } \\ $$

Question Number 74678 Answers: 1 Comments: 0

A 5kg block rests on a 30° incline.The coefficient of static friction between the block and incline is 0.20.How large a horizontal force must push on the block if the block is to be on the verge of sliding (a)up the incline (b) down the incline?

$${A}\:\mathrm{5}{kg}\:{block}\:{rests}\:{on}\:{a}\:\mathrm{30}°\:{incline}.{The} \\ $$$${coefficient}\:{of}\:{static}\:{friction}\:{between} \\ $$$${the}\:{block}\:{and}\:{incline}\:{is}\:\mathrm{0}.\mathrm{20}.{How}\:{large} \\ $$$${a}\:{horizontal}\:{force}\:{must}\:{push}\:{on}\:{the} \\ $$$${block}\:{if}\:{the}\:{block}\:{is}\:{to}\:{be}\:{on}\:{the}\:{verge}\:{of} \\ $$$${sliding}\:\left({a}\right){up}\:{the}\:{incline}\:\left({b}\right)\:{down}\:{the} \\ $$$${incline}? \\ $$

Question Number 71852 Answers: 1 Comments: 0

show that 5^(22) + 17^(22) ≡ 6 (mod 11)

$${show}\:{that}\:\mathrm{5}^{\mathrm{22}} \:+\:\mathrm{17}^{\mathrm{22}} \:\equiv\:\mathrm{6}\:\left({mod}\:\mathrm{11}\right) \\ $$

Question Number 71850 Answers: 2 Comments: 0

∫ln(x^x^x .e^x^x )dx=?

$$\int\mathrm{ln}\left(\mathrm{x}^{\mathrm{x}^{\mathrm{x}} } .\mathrm{e}^{\mathrm{x}^{\mathrm{x}} } \right)\mathrm{dx}=? \\ $$

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