If the function f (x) = (m-1) x & # 178; + MX + 3 is even, then the decreasing interval of F (x)__ Ask for detailed explanation

If the function f (x) = (m-1) x & # 178; + MX + 3 is even, then the decreasing interval of F (x)__ Ask for detailed explanation

The function f (x) = (m-1) x & # 178; + MX + 3 is even, so it is symmetric about the Y axis
m=0
So the function can be changed into:
f(x)=-x²+3
Therefore, the decreasing interval is [0, + ∞)

If the function f (x) = (m-1) x2 + MX + 3 & nbsp; (x ∈ R) is even, then the monotone decreasing interval of F (x) is______ ．

∵ f (x) is an even function, ∵ f (- x) = f (x), ∵ (m-1) x2 MX + 3 = (m-1) x2 + MX + 3 holds for any value of X, ∵ M = 0. Then f (x) = - x2 + 3, ∵ monotone decreasing interval is [0, + ∞). So the answer is: [0, + ∞)

If the function f (x) = (m-1) x2 + MX + 3 & nbsp; (x ∈ R) is even, then the monotone decreasing interval of F (x) is______ ．

∵ f (x) is an even function, ∵ f (- x) = f (x), ∵ (m-1) x2 MX + 3 = (m-1) x2 + MX + 3 holds for any value of X, ∵ M = 0. Then f (x) = - x2 + 3, ∵ monotone decreasing interval is [0, + ∞). So the answer is: [0, + ∞)

If the quadratic function y = ax & # 178; + (A & # 178; + 2a) x + 1 is even, then the monotone decreasing interval is

Quadratic function y = ax & # 178; + (A & # 178; + 2a) x + 1 is even function
So the axis of symmetry is the y-axis,
So a & # 178; + 2A = 0, the solution is a = 0 or a = - 2
∵a≠0
∴a=-2
The function is y = - 2x & # 178; + 1, with the image opening downward
Monotone decreasing interval is [0, + ∞)

On solving triangles
In △ ABC, a, B, and C are the corresponding side lengths of ∠ a, B, and C respectively. It is known that 2Sin & sup2; a = 3cosa
1) Find ∠ a
2) If a = √ 3, find the maximum area of △ ABC

1)2sin²A＝3cosA =>2sin²A-3cosA=0 =>2sin²A+2cos²A-2cos²A-3cosA=0
=>2 cos & sup2; a + 3 cos A-2 = 0 cos a = 1 / 2 or cos a = - 2 cos a = 1 / 2 because cos a must not be less than - 1
A = 60 degrees
2) When the three sides are equal, the area is the largest, 3 √ 3 / 4

What are the verb forms of the past tense?

There are four rules for the formation of the past tense of regular verbs: ① add - ed. for example: look looked. ② for verbs ending with the silent letter E, remove E and add - ed. for example: live-l

How to use watch to distinguish direction?
Which children's shoes know? Please simplify

Divide the time at that time by 2, and the pointer of the number is aimed at the direction of the sun, then the direction opposite 12 o'clock is the north. For example, two o'clock in the afternoon is 14 o'clock, divide by 2 to get 7, and point the position of 7 o'clock at the direction of the sun, then the direction of 12 is the north!

How to judge whether the circuit is in resonance state in the experiment

1. In theory, we can judge whether the reactance of inductance and capacitance is equal;
2. In the experiment, we can judge whether the waveform of circuit current and voltage is synchronous (in phase)

Based on the principle of mutual relationship between practice and cognition, this paper expounds the significance of implementing the scientific outlook on development?

1. Practice is the source of cognition, the driving force of cognition development and progress, and the only standard to test the correctness of cognition, Let people know that we should take the road of scientific outlook on development
2. Understanding guides practice. The scientific outlook on development is formed under the guidance of contemporary Marxism Leninism. It is the correct understanding that makes us realize that we should take the measures of new industrialization, resource-saving, environment-friendly society and building a new socialist countryside, We will certainly be able to build socialism with Chinese characteristics better
3. Material determines consciousness, and consciousness has active reaction to material. Among them, correct cognition promotes the development of things. Cognition belongs to one kind of consciousness, and the scientific outlook on development is a verified correct cognition. Therefore, it will promote our better practice and accelerate the process of socialist modernization

Favorite followed by singular? My favorite sports?

Single or complex is OK, eg.her favourite animals
My favorite sports!