Внимание задания на английском языке!!!
1.Observe that 18 = 4² + 1² + 1² + 0². How many of the first fifteen positive integers can be written as the sum of the squares of four integers ?
2. If c is a constant, what is (2 − 3x²)² dx ?
3 If y = xe^x then dy/dx =
4 For each real number x, let [x] be the biggest integer which is less than or equal to x. What can you say about the following three equations ?(i) [p + 3] = [p] + 3
(ii) [p + q] = [p] + [q]
(iii) [5p] = 5 [p]
1.Observe that 18 = 4² + 1² + 1² + 0². How many of the first fifteen positive integers can be written as the sum of the squares of four integers ?
2. If c is a constant, what is (2 − 3x²)² dx ?
3 If y = xe^x then dy/dx =
4 For each real number x, let [x] be the biggest integer which is less than or equal to x. What can you say about the following three equations ?(i) [p + 3] = [p] + 3
(ii) [p + q] = [p] + [q]
(iii) [5p] = 5 [p]
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