How to prove that the image is infinitely close to the x-axis? X ≥ 0, a ≠ 0 (originally a physics problem in Senior Two) because the teacher didn't understand what I said, it was transformed into a mathematical model

How to prove that the image is infinitely close to the x-axis? X ≥ 0, a ≠ 0 (originally a physics problem in Senior Two) because the teacher didn't understand what I said, it was transformed into a mathematical model


First, the analytic expression of F (x) is obtained, that is, to solve the differential equation f (x) = - f '(x) f' (x) / F (x) = - 1 [LNF (x)] '= - 1lnf (x) = - x + CF (x) = e ^ (- x + C) = CE ^ (- x) when x = 0, y = a = > C = AF (x) = AE ^ (- x), f (x) is infinitely close to the x-axis, that is, y = 0 is the horizontal asymptote Lim (x)



The solutions of the equations x + 4 = y + 3a 2x-y = 2A of XY are opposite to each other, and the value of a is obtained


If the solutions are opposite to each other, then y = - X
Substituting in the above formula, we get
x+4=-x+3a 2x-(-x)=2a
That is, 2x-3a = - 4
By substituting 3x = 2A x = (2 / 3) a into 2x-3a = - 4, we can get the following result:
(5/3)a=4
a=12/5



W = ut / R is a variant of which formula of physics?


Maybe you wrote it wrong, it should be: w = uit, r = u / I, then I = u / R, so, w = u ^ 2 * t / R, the square of voltage times time ratio of resistance



The solution of 2x ^ 3 + √ 3x ^ 2-3 √ 3 = 0


8 + 3-3 radical 3 = 11-3 radical 3



A bottom area is cube carton, side length is 5 decimeters, height is 6 decimeters, at least with how much cardboard


Find the surface area
5 * 5 * 2 + 5 * 6 * 4 = 170 (square decimeter)
A: at least 170 square decimeters of cardboard



Who is the inventor of alternator? Faraday or Tesla?


Nikola Tesla
It must have come



A rectangular cardboard is 24cm in length and 18cm in width. Cut out squares of the same size at its four corners to make a box without a cover
The bottom is half of the original rectangle, seeking height


Let the height be X
(24-2x)(18-2x)=1/2+24*18
(12-x)(9-x)=3*18
x²-21x+108=54
x²-21x+54=0
(x-3)(x-18)=0
X1 = 3, X2 = 18
The height is 3cm
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What's the proportion between work efficiency and working hours when the total amount of work is fixed


In proportion
Because: total amount of work = working time × working efficiency
The total amount of work △ work efficiency = working time (certain)
Time is fixed. The larger the total amount of work, the higher the work efficiency
The higher the work efficiency, the greater the total amount of work
Do you understand?



Use a piece of fan-shaped paper with a center angle of 72 degrees and an area of 62.8 square centimeters to roll it into a large cone. The area of the bottom of the cone is______ Square centimeter


62.8 △ 72360 = 314 (square centimeter) the square of the radius of the circle is: 314 △ 3.14 = 100 (square centimeter) 100 = 10 × 10, so the radius is 10 centimeter, 2 × 3.14 × 10 × 72360 = 62.8 × 15 = 12.56 (centimeter) 12.56 △ 3.14 △ 2 = 2 (centimeter) 3.14 × 22 = 3.14 × 4 = 12.56 (square centimeter) answer: the area of the bottom of the cone is 12.56 square centimeter



In a division without remainder, the divisor is 252 greater than the divisor, and the quotient is 7. What are the divisor and the divisor?


Let the divisor be y and the divisor be X
From the meaning of the question, the equation can be listed
y-x=252
y=7x
The solution is x = 42
y=294