Given the function f (x) = x Λ 2 - (a + 2) + ainx, where constant a > 0, when a > 2, (1) find the monotone increasing interval of function f (x)

Given the function f (x) = x Λ 2 - (a + 2) + ainx, where constant a > 0, when a > 2, (1) find the monotone increasing interval of function f (x)


If there is no X, when x > 0, f (x) increases monotonically
If there is x, then its monotone increasing interval is 0



If the circumscribed circle radius of a right triangle is 5cm and the inscribed circle radius is 1cm, then the perimeter of the triangle is 5cm___ .


⊙ I cut AB to e, BC to F, AC to D, connect ie, if, ID, then ⊙ CDI = ⊙ C = ⊙ CFI = 90 °, id = if = 1cm, ⊙ quadrilateral CDIF is square, ⊙ CD = CF = 1cm, according to the tangent length theorem: ad = AE, be = BF, CF = CD, ⊙ the radius of circumscribed circle of right triangle is 5cm, the half diameter of inscribed circle is 1cm



It is known that u = {x | x ≤ 4}, a = {x | - 1}


1、A∩B={x|-1



It is known that ad is the middle line of triangle ABC and CE is the middle line of triangle ACD. If the area of triangle ABC is 4, what is the area of triangle DCE?


The answer is 1. The proof is as follows: Triangle DCE area = 1 / 2DE * CF, triangle ACD area = 1 / 2ad * cf. because ad = 2 * De, the area of triangle ACD is 2 times DCE. Similarly, the area of triangle ABC is 2 times ACD. Therefore, the area of triangle ABC is 4 times DCE, so the area of triangle DCE is 1



How to draw these two images?





Finding indefinite integral x ^ 2 / (a ^ 6-x ^ 6) DX


∫ x^2/(a^6-x^6) dxletx^3= a^3 siny3x^2 dx= a^3.cosy dy∫ x^2/(a^6-x^6) dx= [1/(3a^3)]∫ (1/cosy) dy=[1/(3a^3)] ln|secy + tany | +C=[1/(3a^3)] ln| a^3/√(a^6-x^6) + x^3/√(a^6-x^6) | +C



Mathematical problems (arithmetic)
1. For a project, team a and team B work together, team a work alone takes 30 days to complete, team B work alone takes 25 days to complete, team a work first for 3 days, the rest two teams work together, how many days to complete?
2. It takes 15 hours for the bus to go from place a to place B, and 10 hours for the truck to go from place B to place A. when they meet, what percentage of the whole journey does the bus take?
3. It takes 15 hours for a bus to go from place a to place B. the trucks travel 60 kilometers per hour and meet each other in 5 hours. When they meet, what percentage of the whole journey does the bus travel?
My requirements:
1. Do it arithmetically.
2. The following is required:
For example:
1. How many are three apples and two apples?
3 + 2 = 5
A: five in all?
reason:
XXX。
It seems to be demanding ^_ ^…) Thank you for answering for me!
No answer? Too demanding? 55555555555555555555555


1. Party A does 1 / 30 every day, Party B does 1 / 25 every day, Party A and Party B cooperate 1 / 30 + 1 / 25 every day = 11 / 150, Party A works for 3 days first, the remaining 1-3 * 1 / 30 = 9 / 10, the number of days of Party A and Party B cooperate = 9 / 10 divided by 11 / 150 equals 12 and 3 / 11 days



In order to be safe, the necessary distance should be kept between the vehicles on the highway. Given the speed limit of 120 km / m on a certain highway, suppose that the vehicle in front stops suddenly, and the driver of the vehicle behind finds this situation, it needs to pass the displacement of 17 m from the braking operation to the deceleration of the vehicle, and the resistance of the vehicle when braking is 0.5 times of the gravity of the vehicle. What is the minimum distance between the vehicles on the highway?


When braking, the vehicle resistance is f, the acceleration is a, the vehicle mass is m, and the displacement from braking to stopping is s. The distance between vehicles on the highway should be at least S1
f=0.5mg
a=f/m=0.5g=5m/s²
s=v²/(2a)=(120/3.6)²/(2*5)=111.1m
s1=s+17=128.1m
So the distance between cars on the highway should be at least 128.1m



There are 440 students in three grades. How many students are there in each grade


There are 35 more people in grade 3 than in grade 2. That is to say, if you add 35 to grade 2, it will be the same as grade 3. If you add 15 to grade 1, it will be the same as grade 3. So 440 + 35 + 15 + 35 = 525 equals three three years



A proof of solid geometry in senior one
In the parallelogram ABCD, AC and BD intersect at O, P is a point outside the plane ABC. If PA = PC, Pb = PD, we prove that Po ⊥ plane ABC
(there is no picture in the original title.)


Because ABCD is a parallelogram, AC intersects BD with O, then OA = OC, and PA = Pb is known. Then the triangle Pao is equal to the triangle PCO, and the angle POA = angle POC = 90 degrees, Po is perpendicular to ac. similarly, it can be proved that Po is perpendicular to BD, and AC intersects BD plane a with O, so Po is perpendicular to the plane ABCD
Graduation is too long! I don't know if it's right!