Find the minimum and maximum of the function y = 2x − 1x + 1, X ∈ [3,5]

Find the minimum and maximum of the function y = 2x − 1x + 1, X ∈ [3,5]


Method 1: derivative method y = 2x − 1x + 1 = 2 (x + 1) − 3x + 1 = 2-3x + 1 ∵ y '= 3 (x + 1) 2 ∵ 0 ∵ the function y = 2x − 1x + 1 monotonically increases on [3, 5] ∵ when x = 3, the minimum value of function y = 2x − 1x + 1 is 54, when x = 5, the maximum value of function y = 2x − 1x + 1 is 32. Method 2: the property of fractional function is - 3x + 1 in the region



How to calculate 9.8 times 3.6 in a simple way


9.8×3.6=(10-0.2)×3.6=36-0.72=35.28



1 / 2 2 / 3 4 / 5 8 / 9 find the general formula of this sequence


This problem is mainly to find the law of denominator, the numerator is less than 1, a denominator is 2, the second is 2 * 2-1, = 3, the third is 3 * 2-1 = 5, the fourth is 5 * 2-1 = 9
So it's the denominator of the previous number * 2-1



1-5 / 8 = (32) × (0) = (3.6) = △ 7.8 △ = ()


7.8÷【32×(1-5/8)+3.6】
=7.8÷(32×3/8+3.6)
=7.8÷(12+3.6)
=0.5



(), 2,3,6,5,10,7, (). What are the numbers in the brackets?


:( 1),2,3,6,5,10,7,( 14).



A non-zero natural number has only one and two factors. It must be prime
True or false


A non-zero natural number has only one and two factors. It must be prime



The maximum value of F (x) = 2x ^ 3 + 6x ^ 2 + 1 in X ∈ [- 1,1]


f'(x)=6x^2+12x=0
x=0,x=-2
0



There are 50 students going to visit the museum, 1.2 yuan for each person by tram, 4 yuan for each person by minibus, and 6 yuan for each person by subway. How many students are there by minibus?


Suppose there are x people in tram, y people in minibus, 50-x-y people in subway, 1.2x + 4Y + 6 (50-x-y) = 1101.2x + 4Y + 300-6x-6y = 1104.8x + 2Y = 110y = 55-2.4xx is a multiple of 5, y can have integer solution x = 5, y = 55-2.4 * 5 = 43, 50-5-43 = 2 people in subway, x = 10, y = 55-2.4 * 10 = 31, 50-10 - in subway



1 234 56789. The last number in line 8 of the table is (), which is the square of the natural number (). There are () numbers in line 8


The last number in line 8 of the table is (64),
1+3+5+…… +(1+7*2)=64
It's the square of the natural number (8),
There are (15) numbers in line 8



What does n mean in mathematics? (natural number or what)


Natural numbers, including 0,1,2
N + is a positive integer