Given that the cube of (2x-1) = the cube of AX + the square of BX + CX + D, if the value of a + B + C + D, then the following () idea is the most simple A. substituting x = 1 into B. substituting x = 1 / 2 into C. substituting x = 0 into D. substituting x = - 1 into D

Given that the cube of (2x-1) = the cube of AX + the square of BX + CX + D, if the value of a + B + C + D, then the following () idea is the most simple A. substituting x = 1 into B. substituting x = 1 / 2 into C. substituting x = 0 into D. substituting x = - 1 into D


Any power of 1 is 1
So just x = 1
Choose a



If the cube of (2x-1) = the square of a + BX + CX + the cube of DX requires the value of a + B + C + D, then x = 1, a + B + C + D = 1, the sum of a and the value of a + C can be obtained by the above method
Write down the reasons and steps


Let x = - 1, then - 27 = A-B + C-D, then add it to a + B + C + D = 1 to get 2A + 2C = - 26, that is, a + C = - 13
Let x = 0, then a = - 1



Let f (x) = X3 + bx2 + CX (x ∈ R), if G (x) = f (x) - F ′ (x) is an odd function, (1) find the value of B and C; (2) find the monotone interval of G (x)


(1) ∵ f (x) = X3 + bx2 + CX, ∵ f '(x) = 3x2 + 2bx + C. Thus g (x) = f (x) - f' (x) = X3 + bx2 + CX - (3x2 + 2bx + C) = X3 + (B-3) x2 + (c-2b) x-C is an odd function, so g (0) = 0 leads to C = 0, and B = 3 is defined by the odd function; (2) g (x) = x3-6x



Given that the function f (x) = x's cube plus BX's Square plus CX plus D is a decreasing function in the interval [negative 1.2], then B + C =?


f(x)=x^3+bx^2+cx+d
f'(x)=3x²+2bx+c
Let f '(x) = 0
Then - 1,2 are two parts of the equation 3x & # 178; + 2bx + C = 0
-1+2=-2b/3
-1*2=c/3
have to
b=-3/2
c=-6
b+c=-3/2+(-6)=-15/2



Calculus, let z = XY + X / y, then DZ =?


dz=(y+1/y)dx+(x-x/y^2)dy



A kind of car with prescription medicine is used to transport coal. The length is 3 meters, the width is 2.5 meters, and the coal loading height is half of the car height,
Each cubic meter weighs 1.4 tons. How many tons of coal are transported by five same cars?


5*{[3*2.5*(2.2/2)]*1.4}
=5*[7.5*1.1*1.4]
=5*(8.25*1.4)
=5*11.55
=57.75
57.75 tons



If three lines intersect at one point, they can form several pairs of vertex angles
What about four? Five, n


There are two pairs when two lines intersect
Three lines intersect, there are six corners, so it's three pairs
and so on
N is n pair



Given the function f (x) whose domain is R +, any XY belongs to R +, f (XY) = f (x) + F (y)
Let f (x) have an inverse function and prove: F-1 (x1 + x2) = F-1 (x1) F-1 (x2)


According to the definition of inverse function F-1 [f (x) + F (y)] = XY
Let f (x) = x1, f (y) = X2, that is, F-1 (x1) = x: F-1 (x2) = y
F-1 (x1 + x2) = F-1 [f (x) + F (y)] = xy = F-1 (x1) F-1 (x2) the world is harmonious~



What is the difference between chemical properties and physical properties


Physical properties can be reflected without chemical changes, while chemical properties can only be reflected with chemical changes



The relationship between temperature and sound speed?


Generally speaking, the propagation speed of sound is only related to the medium. The propagation speed of the same medium will be different under different conditions. But this is the result of scientific research, and there is no need to study it in detail. The following is the relationship between sound and temperature. Sound is the energy transmission of sound body in the form of sound wave