It is proved that f (x, y) = sin (XY) / √ (x ^ 2 + y ^ 2) when x ^ 2 + y ^ 2 ≠ 0, and f (x, y) = 0 is continuous at (0,0) when x ^ 2 + y ^ 2 = 0
Note: F (x, y) DXDY is actually a constant, let a = ∫∫ f (x, y) DXDY, then f (x, y) = [1 - (x ^ 2 + y ^ 2)] ^ 0.5 - π A / 8 do double integration on both sides, then: ∫∫ f (x, y) DXDY integral region is: X & # 178; + (Y-1 / 2) & # 178; ≤ 1 / 4, X ≥ 0, polar coordinate equation of circle is: r = sin θ, θ: 0 - >
RELATED INFORMATIONS
- 1. Let f (x) = {arctan [1 / (x-1)], X not equal to 1,0, x = 1. Find the limit of F (x), X tends to 1 minus, and the limit of F (x), X tends to 1 plus
- 2. Find the left and right limit, and determine whether the limit of function at this point exists, f (x) = arctan (1 / x), x = 0
- 3. Limx - > ∞ arctan (√ x2 + 2x-x) how to use the continuity of function to find the limit and kneel down to find the answer It's the square of the root x plus 2x, and then minus X.
- 4. Is LIM (x - > 4) (x ^ 2-4x) / (x ^ 2-3x-4) suitable to use the lobita theorem? What is applicable and what is not. Can't it be used except those two types?
- 5. Limit LIM (sinx-x) / x ^ 3 = LIM (- x ^ 3 / 6 / x ^ 3) = - 1 / 6, where X - > 0 - how to deduce these two steps? Principle and explanation Limit LIM (sinx-x) / x ^ 3 = LIM (- x ^ 3 / 6 / x ^ 3) = - 1 / 6, where X - > 0 - how to deduce these two steps? Principle and explanation X ^ 3 is the third power of X
- 6. Let's work out a math problem for me with a formula A is 5 / 21 of B and C is 4 / 5 of A. A, B and C donate 310 to each of them. How much do they donate? Write down the formula
- 7. For a three digit number, a hundred digit number is a, a ten digit number is B, and a single digit number is C, and a > C, exchange the position of a hundred digit number and a single digit number to get a new three digit number, please explain: The difference between the original three digits and the new three digits must be a multiple of 99
- 8. a. B, C are three digit hundreds, tens and ones, and a Who can help me? My wealth is zero
- 9. Let a, B and C be a three digit number of hundred, ten and one respectively, and a ≤ B ≤ C, then the maximum value that | A-B | + | B-C | + | C-A | can obtain is______ .
- 10. If A.B.C is a three digit number of hundred, ten and one, and a ≤ B ≤ C, then the maximum value of | A-B | + | B-C | + | C-A |,
- 11. Is three times the root two a fraction The form should be score But by definition, rational numbers include integers and fractions. Obviously, three-thirds of the root sign two is irrational, so it can't be called fractions···
- 12. If a ≤ 0, simplify a - √ A & # 178
- 13. A = 1, B = - 2, C = - 3, simplify a + C - A + B + C - B - A + B + C with letters In letters
- 14. (1) The square root of 1-4 is_______ (2) The arithmetic square root of 121 is_______ (3) The arithmetic square root of (- 4.3) ^ 2 is_______ (4) The inverse of the arithmetic square root of the root sign 81 is______
- 15. If root 2 = x, then x =? If the root sign x = x, then x =? If the root sign x > x, then the value range of X is________ ? Is the following statement true? A. 5 is the arithmetic square root of 25 B. Plus or minus 5 is the arithmetic square root of 25
- 16. The square of (a + 3) + root (B-1 / 3) = 0, find B / A
- 17. Math problem arithmetic problem is very simple 200 - 500 = how much is it to solve a good mathematical answer
- 18. Mathematical problems (super simple) 4 1 4 1 - + - =? -* - =? 7 3 7 3 How much is 4 / 7 times 1 / 3?? 4 out of 7 plus 1 out of 3 = how much??
- 19. (-5p)*2pg=? 2x*5*x=? 1/4m*4n*(-p)=? 6 * 3x divided by 2x * 5 =? 7+m+6+3m=? 8x^+2x+7x^+3x=? Finally, why m + N-M + n = 2n?
- 20. Ask some math questions (- 5) - (- 2.5) + (- 1 / 2) (- 5 and 1 / 2) - (4 and 4 / 5) + (- 3 and 1 / 5) + + 2 and 1 / 2) (1.7) - absolute value of negative 4.3 + absolute value of negative 1.7 + (- 6.8) 1-0=( ) 0-1=( ) 0-(-2) a-( )=0 -b-( )=0 The number - 3 less than - 6 is