Ask a problem of periodic function on higher numbers There is a paragraph in the tutorial as follows: If f (x) is a function with period T, then the period of F (AX) is t / A, where a > 0 It is proved that f (x) is periodic with T, so for any x, f (x) is periodic F (AX + T) = f (AX), then f [a (x + T / a)] = f (AX), that is to say, f (AX) has a period of T / A I can't figure out how f (AX + T) = f (AX) came from. Please tell me,

Ask a problem of periodic function on higher numbers There is a paragraph in the tutorial as follows: If f (x) is a function with period T, then the period of F (AX) is t / A, where a > 0 It is proved that f (x) is periodic with T, so for any x, f (x) is periodic F (AX + T) = f (AX), then f [a (x + T / a)] = f (AX), that is to say, f (AX) has a period of T / A I can't figure out how f (AX + T) = f (AX) came from. Please tell me,

The definition of periodic function is that the values of F () are equal when the values in brackets differ from each other by T
Let g (x) be any function of X
F (g (x)) = f (g (x) + T) is independent of X
Obviously, it holds when G (x) = ax
That is, f (AX + T) = f (AX)

How to find the period of function y = sin3x?
Freshman math It's advanced for me, a mathematical idiot
I just want to know why it's 2 beats divided by the number in front of X, based on what?

SiNx period 2tt
2tt / 3 is the period of sin3x

Is the function y = cosx bounded in (- ∞, + ∞)? Is this function infinite when x → + ∞? --- concrete process,

Forgive me for not being able to play the mathematical symbol on my mobile phone... Wuwei is bounded, because the value range of this function is negative 1 to 1... When x is close to infinity, the value of the function jumps, because it is a periodic function. If x is 1000 pies, it is 11001 pies, it is 0... The value is constantly changing, so this function has no limit when x is close to infinity

A cylindrical reservoir with a bottom radius of 10 meters can store 1570 cubic meters of water. If the depth of excavation is 2.5 meters, how many cubic meters can the reservoir store?

3.14 × 102 × 2.5 + 1570, = 314 × 2.5 + 1570, = 785 + 1570, = 2355 (M3); a: this storage capacity can store 2355 m3

Count 24: 1, 4, 5, 6
24 o'clock!

1:4 ÷ (1 - 5 ÷ 6)
2:4 ÷ (1 - (5 ÷ 6))
3:6 ÷ (5 ÷ 4 - 1)
4:6 ÷ ((5 ÷ 4) - 1)

The plane figure D is surrounded by parabola y = 1-x ^ 2 and X axis. Is the volume of the body of revolution obtained by D rotating around Y axis 2 π / 3?

V=∫πX^2dy (y=0->1)
=∫π(1-y)dy
=π/2

3 ÷ () = 24 parts () = 0.25 = ()% 2.8 cubic decimeter = () cubic centimeter

3 ÷ (12) = 6 / 24 = 0.25 = (25)%
2.8 cubic decimeter = (2800) cubic centimeter

What is the top view of a geometry whose front view and side view are squares with side length 1? Write out all the possibilities
And the volume is half!

If the front view and side view of a geometry are squares with side length of 1, its top view is of course a square, if it is not a triangle (that is, a triangular column)
And the volume is half!

First, translate the parabola y = x ^ 2 + BX + C upward by 2 units, and then to the left by 4 units to get the parabola y = x ^ 2, and find the value of B and C?

Up translation is: y = x ^ 2 + BX + C + 1, and then to the left, so, y = (x + 4) ^ 2 + B (x + 4) + C + 1, this parabola is the same as y = x ^ 2! Using the undetermined coefficient method, there is y = x ^ 2 + (8 + b) x + 16 + 4B + C + 1, so B + 8 = 0, 16 + 4B + C + 1 = 0, B = - 8, C = 15!

How many cubic meters of water is one ton of water

1 ton = 1000 kg
Known water density = 1.0 * 1000 kg / m3 mass = 1000 kg
Find the volume
Volume = mass / density
=1000/1.0*1000
=1 cubic meter