The known complete set u = {0,1,2 If (CUA) ∩ (cub) = {0,4,5}, a ∩ (cub) = {1,2,8}, then the sum of all subset elements of B is

The known complete set u = {0,1,2 If (CUA) ∩ (cub) = {0,4,5}, a ∩ (cub) = {1,2,8}, then the sum of all subset elements of B is


Let B's complement in the complete set be D, and a's complement in the complete set be C, then a and C = U. because C intersection d = {0,4,5}, a intersection d = {1,2,8}, that is, (A and C) intersection d = u intersection d = {0,4,5,1,2,8}, so B = {3,6,7,9}, subset has {3}. {6}. {7}. {9}. {3,6}. {3,7}. {3,9}



As shown in the figure, AC ⊥ CB, DB ⊥ CB, ab = DC are known





Let n-order matrix a satisfy that the square of a = a, prove that e-2a is invertible, and the inverse of (e-2a) = e-2a


Figure out the inverse matrix
Economic Mathematics team to help you solve



Define the set a ⊙ B = {Z | z = XY + (x / y), X ∈ a, y ∈ B}. Let the set a = {0,2}, B = {1,2}, use enumeration method to express the set a ⊙ B


x=0,y=1,z=0*1+0/1=0
x=0,y=2,z=0*2+0/2=0
x=2,y=1,z=2*1+2/1=4
x=2,y=2,z=2*2+2/2=5
So a ⊙ B = {0,4,5}



Definite integral upper limit 5, lower limit 1, under the root sign (x minus 1) divided by X


Let u & # 178; = x - 1, 2U Du = DXX = 1, u = 0x = 5, u = 2 ∫ [1 → 5] √ (x - 1) / X DX = ∫ [0 → 2] U / (U & # 178; + 1) * [2U Du] = 2 ∫ [0 → 2] [(U & # 178; + 1) - 1] / (U & ∫ [0 → 2] [1 - 1 / (U & # 178; + 1)] Du = 2 [U -



Which two identical numbers multiply by 10


The meaning of this question is that () ^ 2 = 10
What is the square root of 10?
Easy to get is root 10 or - root 10



If the cost of a 5kg parcel is 57 yuan, 8 yuan for each 1kg. If the cost is 166 yuan, how much is the weight of the parcel?


The cost of a 5kg parcel is 57 yuan
It costs 8 yuan per kilogram
(166-57)÷8=13.625
So the weight of a parcel is 5 + 13.625 = 18.625 kg



Take any two numbers from 1, 3 and 5, and take any two numbers from 0, 2 and 4. How many double digits can be formed? How many of them are even numbers


Taking any two numbers from 1, 3 and 5 is C (2,3) = 3, and taking any two numbers from 0, 2 and 4 is C (2,3) = 3.3 * 3 = 9
Among the four numbers, the two digits that make up the number without repetition are p (2,4) = 12.9 * 12 = 108
How many two digit numbers without repetition can be formed
Among them, even numbers are 0, 2 and 4, which account for half of the mantissa and 54 even numbers



The definition field of function f (x) is d = {x | x > 0}, and satisfies that for any m, n ∈ D, there is a flying (MN) = f (m) + F (n). (1) find the value of F (1)
If f (2) = 1, f (3x + 1) + F (2x-6) ≤ 2, and f (x) is a monotone increasing function on (0, + ∞), find the value range of X


F (MX1) = f (m) = f (m) + F (1), f (1) = 0
F (3x + 1) + F (2x-6) = f [(3x + 1) (2x-6)], 2 = 1 + 1 = f (2) + F (2) = f (4). From the meaning of the question: (3x + 1) (2x-6) ≤ 4 and 3x + 1 & gt; 0 and 2x-6 & gt; 0, 3 & lt; X is less than or equal to (4 + radical 31) / 3



1. Let s = the second power of 1 + 2 + 2 + +The two sides are multiplied by 2 to get: 2S = 2 + 2 to the second power + 2 to the third power + 2 to the nth power; ② - ① to get: S = 2 to the nth power - 1, i.e. 1 + 2 + 2 to the 2nd power + +The N-1 power of 2 = the N-1 power of 2 +3 to the power of 99
2. When n is a natural number, what is the value of the square of N + 1 of - 1 - (- 1)?


1、
Let 1 + 3 + 3 ^ 2 + +3^99=x
Multiply left and right by 3 at the same time
Then 3 + 3 ^ 2 + +3^100=3x
Add 1,1 + 3 + 3 ^ 2 + on both sides +3^100=3x+1
x+3^100=3x+1
x=(3^100-1)/2
2. When n is odd, the value is - 3 / 2
When n is even, the value is 1 / 2