If a & # 178; = B & # 178;, then a = B is true or false. If a proposition is true, please prove it. If a proposition is false, please give counter examples

If a & # 178; = B & # 178;, then a = B is true or false. If a proposition is true, please prove it. If a proposition is false, please give counter examples


False proposition
prove:
If a = 1, B = - 1,
a²=b²
a ≠ b
To sum up, a & # 178; = B & # 178; a = B is a false proposition



Sum formula of arithmetic sequence divided by arithmetic sequence
Sum formula of arithmetic sequence divided by arithmetic sequence:
Sn= 24/1.12+(24*2)/(1.12^2)+(24*3)/(1.12^3)+(24*4)/(1.12^4)+…… +(24*8)/(1.12^8)


0.5Sn=24/(1.12^2)+(24*2)/(1.12^3)+(24*3)/(1.12^4)+…… +(24*7)/(1.12^8)+(24*8)/(1.12^9)
Sn-0.5Sn=24/1.12+24/(1.12^2)+24/(1.12^3)+24/(1.12^4)+…… +24/(1.12^8)-(24*8)/(1.12^9)=0.5Sn,Sn=48/1.12+48/(1.12^2)+48/(1.12^3)+48/(1.12^4)+…… +48/(1.12^8)-(48*8)/(1.12^9),48/1.12+48/(1.12^2)+48/(1.12^3)+48/(1.12^4)+…… +48/(1.12^8)
Specific you can send an email to me to solve to you



Let f (x) = 1 / 3x & # 179; - (1 + a) x & # 178; + 4ax, where a ∈ R
(1) When a > 1, find the monotone interval of function f (x);
(2) If x > = 3, the derivative of F (x) > 0 is constant, the value range of real number a is obtained


(1) The derivation of F shows that when a > 1, monotone interval is required, then 0 point is required
The square of X - 2 (1 + a) x + 4A = 0
X = 2A or 2
So when x > 2A or x = 3, the derivative is greater than 0
The square of X - 2 (1 + a) x + 4A = 0, so the solution is less than or equal to 3
3 / 2 > a > 1
When A1



Solve several math problems in grade one of junior high school
(super simple) but it must be right. The process can be simple, but it needs to be written down
It is known that a = 2x square + 3y-2x-1, B = - x square + XY-1
@Find 3A + 6B
2 if the value of 3A + 6B has nothing to do with X, find the value of Y


3A + 6B: substitution, merging similar items, is this meeting right?
If the value of 3A + 6B has nothing to do with X: that is, the result does not contain the term x (the first power of x), after finding 3A + 6B, the first term of X is raised, and its coefficient is equal to 0, then y can be obtained



There is a column of numbers, which are arranged into 1, - 2,4,18,16, - 32 according to certain rules. The sum of some three adjacent numbers is - 1536. What are the three numbers?


It can be seen from the question:
The sequence is an equal ratio sequence with the first term of 1 and the common ratio of - 2
Then: an = (- 2) ^ (n-1)
The three adjacent numbers are: a (n-1), an, a (n + 1)
Then: a (n-1) + an + a (n + 1) = an / (- 2) + an + an * (- 2) = an * [(- 1 / 2) + 1 + (- 2)] = (- 3 / 2) * an = - 1536
The result is: an = 1024 = 2 ^ 10
Namely: (- 2) ^ (n-1) = 2 ^ 10 = (- 2) ^ 10
n=11
These three numbers are the 10th, 11th and 12th of the sequence
Then the three numbers are: - 5121024, - 2048



Linear algebra | x 1 A computes the determinant of order n d = a x... A... a... X|


D = | x a.aa x a.a.a.x | = (add all to the first column) | x + (n-1) a a a.ax + (n-1) a x a.a.x + (n-1) a a a.x | = (subtract the first row from each row) | x + (n-1) a.a0 x-a 0.0.0.x-a | = [x + (n-1) a] (x-a) ^ (n-1)



Please provide some exercises to get the denominator of linear equation of one variable





Line up some natural numbers starting from 1 into the following shape, then the number 1 from the left of line 10 is______ .


The number at the end of line 9 is 9 × 9 = 81; the first number from the left of line 10 is 81 + 1 = 82



What is the product of all negative integers with absolute values not less than 2 and not more than 6


The range of this number is - 6 ≤ a ≤ - 2
So these numbers are - 2. - 3. - 4. - 5. - 6
So, their product is (- 2) * (- 3) * (- 4) * (- 5) * (- 6) = - 720



Page 30 question 6: there are 52 students in the class, of which boys are 8% more than girls. How many boys and girls are there?


There are x girls
x+(1+8%)x=52
The solution is x = 25
So there are 25 girls and 27 boys