Math Problems
#Problems #Quest90
#Solutions | #Quest90
- Let f(x)=|x- π/6|+|x+π/3|, g(x)=arcsin(x^3-x+2)/2.
- g(x) defined, when -2 ≤ x^3 -x + 2 ≤ 2. If x > π/6, then f(x) > π/2 ≥ g(x) - no solution.
- If - π/3 ≤ x ≤ π/6, then f(x) = π2, so x^3 -x = 0, so x = 0 or x = -1.
- Only x= 0, x= -1 are solutions.
Author: @symplecticMan
- Let f(x)=|x- π/6|+|x+π/3|, g(x)=arcsin(x^3-x+2)/2.
- g(x) defined, when -2 ≤ x^3 -x + 2 ≤ 2. If x > π/6, then f(x) > π/2 ≥ g(x) - no solution.
- If - π/3 ≤ x ≤ π/6, then f(x) = π2, so x^3 -x = 0, so x = 0 or x = -1.
- Only x= 0, x= -1 are solutions.
Author:
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Math Problems
#Problems #Quest92
#Solutions | #Quest92
Book:Limits, Series, and Fractional Part Integrals Problems in Mathematical Analysis
Book:
Ovidiu Furdui 2010.pdf
3.7 MB
#Books
Limits, Series, and Fractional Part Integrals Problems in Mathematical Analysis
Source: @imc_training_materials
Limits, Series, and Fractional Part Integrals Problems in Mathematical Analysis
Source: @imc_training_materials
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Miscellany 1.pdf
139 KB
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