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l∫sin 7xdx |
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Resolver ((∣x − 1∣ + ∣x + 2∣)/(∣x∣ − 1)) ≤ 3 |
a,b,c∈R a^2 +b^2 +c^2 =9 a^3 +b^3 +c^3 =21 ab+bc+ca=? |
Prove that sin351° = − (√(((4 − (√(10 + 2(√5))))/8) .)) |
show that the intergral ∫_1 ^∞ (1/x^p )dx converges for p>1 find it value |
Let a,b,c be real numbers satisfying the equations (1) a +b + c= 4 (2) a^3 + b^3 + c^3 = 34 Find ab+bc+ca |
Whether the following seriesconverge: determinant (((Σ_(n=1) ^∞ (−1)^n [1+n ln(1−(2/(2n+1)))]))) |
Let x,y,z be real numbers satisfying the equations x + y + z= 7 xy + yz + zx=10 xyz=6 Find the value of x^3 + y^3 + z^3 |
Find all three-digit numbers such that when the number is divided by the sum of its digits the quotient is 7 and the remainder is 5. |
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Find three consecutive integers such that the sum of their squares is 50. |
Find three consecutive integers such that the product of the first two is 16 more than twice the third integer. Provide all possible solutions. |
How is ψ^2 (1) = − 2ζ(3) and ψ^2 ((1/2)) = − 14ζ(3) ??? |
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Solve: ((x+2)/(x−3))−((x−1)/(x+4))=((10)/(x^2 +x−12)) |
∫_0 ^( 1) ((ln^2 (1−x))/x^2 ) dx= ? |
∫_0 ^1 sin^(−1) (1/( (√(1+x−x^2 )))) dx=? |
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∫_(−∞) ^(+∞) e^(−(x^2 /2)) dx=(√(2π)),∫_(−∞) ^(+∞) e^(−(x^2 /2)+x) dx. |
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find the following differential equation by eliminating the arbritrary constant (1)y=Ae^x +Bcosx (2) xy=Ae^x +Be^(−x) +x^2 |
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