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Judge and prove the monotonicity of function f (x) = X-1 / x + 2 on (2, positive infinity), and draw its general image
F (x) is an increasing function on (2, + ∞)
Set 2
It is known that 2 - √ 5 is a solution of the quadratic equation x of one variable with the square of - 4x + C = 0. Find its other root and the value of C
Let the other root of the equation be X2, then from the relationship between the root and the coefficient, there is a
2-√5+X2＝4
∴X2＝2+√5
And ∵ (2 + √ 5) (2 - √ 5) = C
∴c=4-5=-1
A: the other root of the equation is 2 + √ 5, and the value of C is - 1
Voltage calculation formula of series parallel circuit
Voltage distribution of series circuit
If the resistance is large, the voltage at both ends will be high?
Why is the voltage distribution of series circuit distributed in this way
I didn't pay attention in class. Please explain it in detail,
The principle of voltage distribution of series circuit: the current of series circuit is the same everywhere, if the resistance value of each resistor in series is R1 R2 R3, then the voltage of each resistor is U1 = I * R1 U2 = I * R2 U3 = I * R3, so the greater the resistance, the greater the voltage at both ends
M-3m + 2 m-m-0.0
3m-4m
The total power of all the household appliances in Xiaoming's house is 2200W. The electric kettle's name plate: 220V, 880W, frequency: 50Hz, volume: 2L
If the actual current through the electric kettle is 2a, what is the actual power?
R=U^2/P=(220)^2/880Ω=55Ω
So p real = I ^ 2 * r = 2 ^ 2 * 55W = 220W
Given a ^ 2 + A-1 = 0, find the value of 2A ^ 3 + 4A ^ 2 + 2; find (A-1 / a) ^ 2
A ^ 2 + A-1 = 0, so a ^ 2 + a = 1
2a^3+4a^2+2
= 2a (a^2 + 2a) +2
= 2a (1 + a) + 2
= 2 (a + a^2) + 2
= 4
A ^ 2 + A-1 = 0, so a ^ 2 - 1 = a
(a-1/a)^2
= [(a^2 - 1)/a]^2
= [a/a]^2
= 1
Is Brazilian power supply 110V or 220V
The central part of Brazil is 220 V and the southern part is 110 v
As shown in the picture, Xiaolin walked 3 m eastward from point a, 1 m northward, 1 m northward, and finally 5 m eastward to point B to find the distance between ab
Train of thought: 1 meter to the north, 1 meter to the north, 2 meters to the north. 3 meters to the East, 5 meters to the East, 8 meters to the East. A total of 8 + 2 = 10 meters
The distance of AB is 10 meters
Formula: 1 + 1 + 3 + 5 = 10 (m)
A: the distance of AB is 10 meters
Consequences of total electric power of electric appliance exceeding rated power of electric energy meter
If the total power of the household appliances used at the same time exceeds the rated power of the energy meter, it will happen_______ Even________ Electric energy meter
The electric current is too large and even burns the electric energy meter
What is 4 / 9 + 9 / 16-1 / 16
4/9+9/16-1/16
=(64+81-9)/144
=136/144
=17/18
RELATED INFORMATIONS
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- 4. It is known that the function f (x) = the cube of X + the square of AX + 3bx + C (B is not equal to 0), and G (x) = f (x) - 2 is an odd function?
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- 7. Given that X and y satisfy X & # 178; + Y & # 178; + 5 / 4 = x-2y, what is the value of 2x + y?
- 8. Given X & # 178; + x = 1, find the value of X & # 179; + 2x & # 178; = 891 2. Proof: for any natural number n, the value of n (n + 5) - (n-3) (n + 2) can be divided by 6
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- 10. 1/(2-x)²,x/x²-4 Using common points, we need to do it now,
- 11. Given the function f (x) = x + m / x, and the function image passes through the point (1,5), judge the monotonicity of function f (x) on [2, + ∞), and prove your conclusion with the definition
- 12. The graph of function f (x) defined on R has two symmetry axes x = A and x = B (a is not equal to b). Find the period of F (x)
- 13. If the function f (x) defined on R is symmetric about x = A and about point (B, 0), and a is not equal to B, the period of function f (x) is obtained
- 14. Try to discuss the number of zeros of function H (x) = f (x + 1) - G (x) in the interval (- 2,0) Given function f (x) = LG (x + 1) 1. If G (x) is an even function and G (x) = g (x + 2), when 0 ≤ x ≤ 1, G (x) = f (x), find the analytic expression of y = g (x) (x belongs to [- 2,0]; 2. Under the condition of (1), the number of zeros of the function H (x) = f (x + 1) - G (x) in the interval (- 2,0) is discussed
- 15. The zero point of function y = (AX-1) (X-2) is discussed
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- 18. The function f (x) = ax ^ 3 + BX ^ 2 + CX + 3 defined on R satisfies the following conditions 1. F (x) is a decreasing function on (0,1) and an increasing function on (1, + OO) 2. F '(x) is even function 3. The tangent of F (x) at x = 0 is perpendicular to the line y = x + 2 Finding the analytic expression of function y = f (x) Let g (x) = 4lnx-m, if x belongs to [1, e], Let g (x)
- 19. F (x) = x ^ 3 + BX ^ 2 + CX + D (x belongs to R). It is known that f (x) = f (x) - f '(x) is an odd function and f (1) = t (T)
- 20. We know that the function is an odd function on f (x) = AX3 + CX + D. when x = 1, we take the extremum - 2 and find the monotone interval and maximum of F (x)