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1. Solve the following tasks:
At 1.15 rectilinear segment AB, which connects the two light sources A (power p) and B (force q), find the point M illuminated by the weakest if | AB | = a. (Illumination is inversely proportional to the square of the distance from the light source.)
2. Carry out a full investigation of these functions and build their schedules.
2.15 y = -ln ((1 + x) / (1 - x))
3. Carry out a full investigation of these functions and build their schedules.
3.15 y = ((x - 2) / (x + 1)) 2
4. Find the minimum and maximum values of the function y = f (x) on the interval [a; b]
4.15 y = (1 + lnx) / x, [1 / e; e]
At 1.15 rectilinear segment AB, which connects the two light sources A (power p) and B (force q), find the point M illuminated by the weakest if | AB | = a. (Illumination is inversely proportional to the square of the distance from the light source.)
2. Carry out a full investigation of these functions and build their schedules.
2.15 y = -ln ((1 + x) / (1 - x))
3. Carry out a full investigation of these functions and build their schedules.
3.15 y = ((x - 2) / (x + 1)) 2
4. Find the minimum and maximum values of the function y = f (x) on the interval [a; b]
4.15 y = (1 + lnx) / x, [1 / e; e]
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- Added to the site 12.08.2020
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Detailed solution. Decorated in Microsoft Word 2003 (Target decided to use formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent
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