The monotone increasing interval of the function y = x2 + LNX is,

The monotone increasing interval of the function y = x2 + LNX is,

The derivative of this function is y '= 2x + 1 / x, which is always greater than zero
So this function increases monotonically in the domain
The monotone increasing interval is (O, + ∞)

A problem of proving the limit of sequence of higher numbers
Let the sequence {xn} be bounded and limyn = 0, and prove that limxnyn = 0

Because the sequence {xn} is bounded
So let's assume that | xn | 0)
Because the limit of sequence {yn} is 0
Then for any given e, there is always n such that when n > N, | xnyn | when | yn | n = | xn | yn|

Let f (x, y) = {x + y, 0} be the joint density function of two-dimensional random variables (x, y)

Solving the equation t.x = sin (x) with MATLAB

Is x = sin (x)? & gt; & gt; & nbsp; ezplot (& # 39; x-sin (x) & # 39;); Grid & gt; & gt; & nbsp; X = fzero (& # 39; x-sin (x) & # 39;, 0) x & nbsp; = & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 0 draw a graph first, and then fzero finds the solution of the equation

How do three five's and one one's equal 24

1:5 × (5 - 1 ÷ 5)
2:5 × (5 - (1 ÷ 5))
3:(5 - 1 ÷ 5) × 5
4:(5 - (1 ÷ 5)) × 5

The area of a parallelogram is equal to that of a triangle. It is known that the bottom of a triangle is 36 decimeters, which is 6 decimeters less than 3 times the height. The height of a parallelogram is 2 decimeters shorter than the height of a triangle. How many decimeters is the bottom of a parallelogram?
I hope we don't use equations

The bottom of the triangle is 36 decimeters, 6 decimeters less than three times the height
So height = (36 + 6) / 3 = 14 decimeters
The height of a parallelogram is 2 decimeters shorter than that of a triangle
So parallelogram height = 14-2 = 12 decimeters
Triangle area = 36 * 14 / 2 = 252
Bottom of parallelogram = 252 / 12 = 21 decimeters

The quadratic function y = - 3x ^ 2 + 6x-1 is transformed into vertex form

y=3x^2+6x-1
=3(x^2+2x)-1
=3(x^2+2x+1-1)-1
=3(x+1)^2-4

The square of x = 25 the value of ball X
Square of X - 81 = 0 25X square = 36 the value of ball x

X^2-81=0
X^2=81
X = 9 or x = - 9
25X^2=36
X^2=36/25
X^2=(6/5)^2
X = 6 / 5 = 1.2 or x = - 6 / 5 = - 1.2

Cut a round piece of hard paper into the largest square. The area of the square is 200 square centimeters. What is the area of the circle?
Please give me the formula,

That is to say, there is an inscribed square in the circle with an area of 200 square centimeters, which means that the side length of the square multiplied by the side length is 200 square centimeters. According to the groin theorem, we can know that the diameter is square (that is, the square of the diagonal) = 200 + 200 = 400
So diameter = 20 cm, radius: 20 / 2 = 10 cm
Area: 3.14 * 10 * 10 = 314 square centimeters

When x < 0, in which quadrant is the image of inverse scale function y = - 1 / 3x?
In the second quadrant, y increases with the increase of X

When x