It is known that the function f (x) is an even function defined on R. when x ≥ 0, f (x) = (12) x (1) draw the image of the function f (x); (2) write the monotone interval of F (x) according to the image, and write the value range of the function

It is known that the function f (x) is an even function defined on R. when x ≥ 0, f (x) = (12) x (1) draw the image of the function f (x); (2) write the monotone interval of F (x) according to the image, and write the value range of the function

(1) The image of function f (x) is shown in the figure. (2) from the image, the monotone interval of F (x) is: (- ∞, 0) is an increasing function, (0, + ∞) is a decreasing function, and the range is (0, 1)

What color sweater do you want?

what color of the sweater do you want?

How many centimeters is five feet four inches?

1 inch = 2.540 cm
1 foot = 12 inches = 0.3048 meters
Five feet four inches: 1.6256 meters

Find the limit LIM (t tends to - 2) (t power of E) + 1 / T

See picture

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Proof: when n is an integer, the square difference of two consecutive odd numbers: the square of (2n + 1) minus the square of (2n -- 1) is a multiple of 8

（2n+1)^2-(2n-1)^2=4n^2+1+4n_ (4n^2+1-4n)=8n

Let y = UX, then dy / DX = u + XDU / DX, how can this equation be solved
Why is dy / DX equal to U + XDU / DX?

1. This is a general solution of differential equation for odd function
Odd equation means that the sum of x power and Y power in numerator and denominator is the same
2. The special solution in this case is zero u = Y / x, that is y = UX
Y is a function of X, so u is also a function of X;
In this way, y is not only the direct explicit function of X, but also the composition of U,
It becomes the implicit function of X, so when y is derived from X, it must use the chain derivative of compound function
Y = UV, dy / DX = (DU / DX) V + U (DV / DX), where V is X
If you have any questions, welcome to discuss

Find the rule 2 6 13 39 15 45 23 find the next one

46

The general formula of sequence 1,1 / 3,1 / 7,1 / 9,1 / 11 is ()

1/(2n-1)

How to find the projection of a curve or surface to a specified plane?
1. The known surface equation is f (x, y, z) = 0
Specify the plane as ax + by + CZ = D
The product of ABCD ≠ 0
How to find the projection equation of the surface on the specified plane?
2. What about the curve?
Please don't talk about flipping books and searching online,

A more troublesome method: 1. First, if the projection plane is the coordinate axis plane, the projection equation can be written directly by the parameter equation. 2. According to the above method, for the general plane, the oxy plane of the new coordinate can be parallel to the projection plane by coordinate transformation, and the surface equation can be written by the coordinate transformation formula