How many compulsory courses should I study in the semester of higher education?

Mathematics, English and Chinese compulsory 3, 4
Chemistry compulsory 2
Physics compulsory 2 + elective 3-1

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1. Given that the constraint condition x − 2Y + 7 ≥ 04x − 3Y − 12 ≤ 0x + 2Y − 3 ≥ 0 is satisfied, then the minimum value of Z = x2 + Y2 is 0______ ．
2. Sum: SN = 1 * 2 * 3 + 2 * 3 * 4 + +n(n+1)(n+2)
3. Sum: SN = (1 / 2) + (3 / 2 ^ 2) + (5 / 2 ^ 3) +... + [(2n-1) / 2 ^ n] It seems to be a process of seeking hope by subtracting dislocation
4. Summation formula of second order arithmetic sequence Not the nth term
5. Algebraic calculation of summation formula of equal ratio sequence Formula s = A1 (1-Q ^ n) / 1-Q Suppose the sequence is 1,4,8,32128 A1 = 1, common ratio q = 4, isn't that a negative number?
6. Excel. Number sum, the number is the text format. How to become conventional. And then sum? Text can not sum!
7. Rookies turn to math problems Why does equation 2 (a + 1) x ^ 2 + 4ax + 2a-1 = 0 have only one real root?
8. Very basic and novice mathematical problems A * b = 144 and a = 2B
9. Second order arithmetic summation formula I've just been in the first grade of senior high school, and I don't know anything about it. Can you tell me the general formula for the summation of second order arithmetic? Another topic is: known, the general term formula F (n) = 12n ^ 2-12n + 3 Find f (1) + F (2) + F (3) + ＋f（500）.
10. By analogy with the definition of equal difference and equal ratio sequence, the general term formula and summation formula of equal product sequence are derived from the definition
11. Mathematics problems of compulsory five in senior one Let the opposite sides of the inner angles a, B and C of the acute triangle ABC be a, B and C respectively, and a = 2bsina (1) Find the size of ∠ B (2) If a = 3 √ 3, C = 5, find B If I'm not wrong, the first question B is 30 degrees?
12. I would like to ask you ∞Σ n = 0 (- 1) ^ n * (n ^ 2-N + 1) / 2 ^ n sum and ∞Σn = 1 2 ^ n / (3 ^ n (2n-1)) sum
13. Proof: for any positive integer n, (2n + 1) & sup2; - 1 must be divisible by 8
14. If n is a natural number, can you explain why the value of n (2n + 1) - 2n (n-1) must be a multiple of 3?
15. 1 / M + 1), 2 / M + 2),. M / M + 1 I don't understand the answer
16. A problem of summation of mathematical sequence in Senior High School Sum: SN = (1 / 1 × 3) + (4 / 3 × 5) + (9 / 5 × 7) + +Square of N / (2n-1) (2n + 1)
17. Sum of the first n terms of a sequence Given an = 1 / (4N + 1) (4N-1), find SN
18. The sum of the first n items of high school mathematics sequence The leading formula is 2n + 1-3 ^ n / 2 ^ n. help to find the sum of the first n terms of the leading formula. Thanks. (n > 1)
19. Sum of sequence (1 / 1 * 3) + (1 / 3 * 5) + (1 / 5 * 7) +... + (1 / (2n-1) (2n + 1)) ( 1/1*3)+(1/3*5)+(1/5*7)+...+(1/(2n-1)(2n+1)) The final answer is the original
20. Note CN = an × BN, find the first n terms and TN of sequence {CN}, online and so on! an=4n-11 bn=2^n-1