Calculation of 2 (x Λ 3) Λ2 × x Λ 2-3 (x Λ 2) Λ3 + 5x Λ 2 × x Λ 7

Calculation of 2 (x Λ 3) Λ2 × x Λ 2-3 (x Λ 2) Λ3 + 5x Λ 2 × x Λ 7

=The 8th power of 2x - the 6th power of 3x + the 9th power of 5x

Equations: 3 (x-1) = 4 (y-4), 0.5x + 0.3y = 0.25

0.5X+0.3Y＝0.25
Multiply two sides at the same time to get x + 0.6y = 0.5
That is: x = 0.5-0.6y
And because 3 (x-1) = 4 (y-4)
So there is: 3 (0.5-0.6y-1) = 4 (y-4)
Y = 2.5, x = - 1

The total storage capacity of the Three Gorges Reservoir on the Yangtze River is about three times that of the Xiaolangdi Reservoir on the Yellow River, more than 250 million cubic meters. The total storage capacity of the Three Gorges Reservoir on the Yangtze River is 30.25 billion cubic meters
How many billion cubic meters is the total capacity of Langdi reservoir?

Xiaolangdi Reservoir on the Yellow River is set with a total capacity of X billion cubic meters
Then, 3x + 2.5 = 302.5
The solution is x = 100
Therefore, the total capacity of Xiaolangdi Reservoir on the Yellow River is 10 billion cubic meters
This problem is to solve the equation with unknowns

X → 0 which of the following functions are infinitesimals of higher order of X, which are infinitesimals of the same order, and point out which of them are equivalent infinitesimals
X → 0, which of the following functions are higher order infinitesimals of X, which are of the same order infinitesimals, and point out which of them are equivalent infinitesimals
(1) 3x + 2x ^ 2
(2) (1 / 2) x + (1 / 2) SiNx
(3) Ln (1 + x) (the answer is equivalent)

x→0
(1) LIM (3x + 2x ^ 20 / x = LIM (3 + 2x) = 3 is of the same order but not equivalent
(2) Lim [(1 / 2) x + (1 / 2) SiNx] = (1 / 2) Lim [1 + (SiNx) / x] = 1 is equivalent
(3) Lim [ln (1 + x)] / x = ln [LIM (1 + x) ^ (1 / x)] = lne = 1 is equivalent

What number minus the square of Exxon plus one equals Exxon minus one. Actually Exxon is a number. I can't express it with symbols. You should understand it. Help

(x-1)+(x²+1)
=x-1+x²+1
=x²+x
So this number is X & sup2; + X

How much is 1 / 2 + 2 times 1 / 3 + 3 times 1 / 4 +. + 29 times 1 / 30?

1/2 + 1/(2*3) + 1/(3*4) + …… + 1/(29*30)
= 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + …… + 1/28 - 1/29 + 1/29 - 1/30
= 1 - 1/30
= 29/30

A decreasing sequence, its limit is zero, how to explain that each of its terms is greater than zero

To the contrary, this question can only be disproved
The proof is as follows:
Suppose item n xn

Xiao Dong's mother received 380 yuan of bonus from her unit, of which 80 were 2 yuan, 5 yuan and 10 yuan. The number of 5 yuan and 10 yuan were equal. How many of these three kinds of RMB
Formula

Let 5 yuan and 10 yuan each have X sheets, then 2 yuan has 80-2x sheets
10x + 5x + 2 (80-2x) = 380
11x + 160 = 380
11x = 220
x=20
So there are 40 for 2 yuan, 20 for 5 yuan and 20 for 10 yuan

Find the rules: 2,5,9,12,17, (), (), 29,36. What are the rules? Please explain, unreasonable do not accept!

（20）（26）
5-2=3 9-5=4
12-9=3 17-12=5
20-17=3 26-20=6
29-26=3 36-29=7
.

Proving x ^ n + 1 / x ^ n = 2cosnx (n is natural number) by mathematical induction

Is the title right?
For example, x = pi / 4, n = 1
x^n=pi/4
1/x^n=4/pi
x^n+1/x^n=pi/4+4/pi=2.058637708
2cosnx=2cos(pi/4)=1.414213562
x^n+1/x^n2cosnx