Given A-B = 5, ab = 6, find the value of the square of the algebraic formula 3 * a * b-6a * B + 18B + 6
Because A-B = 5, ab = 6,
So 3A ^ 2b-6ab ^ 3 + 18B + 6
=3a(ab)-6b(ab)+18b+6
=18a-36b+18b+6
=18a-18b+6
=18(a-b)+6
=18*5+6
=96.
Given the quadratic function y = - x2 + X-15, when the independent variable x is m, the corresponding value is greater than 0. When the independent variable x is M-1 and M + 1, the corresponding function values are Y1 and Y2
, then Y1 and Y2 must satisfy ()
Continue above, y = - x2 + X-15 is wrong, is the square of y = - x + X-1 / 5, is a, Y1 > 0, Y2 > 0 B, Y1 < 0, Y2 < 0 C, Y1 < 0, Y2 > 0 d, Y1 > 0, Y2 < 0
Function y = - X & # 178; + X-1 / 5 = - (x-1 / 2) 178; + 1 / 20
y(m) >0 ==> (m - 1/2)² < 1/20
==> 1/2 -√5/10 < m 0 ==> 1/2 -√5/10 < m-1 3/2 -√5/10 < m < 3/2 +√5/10 --(2)
y(m+1) >0 ==> -1/2 -√5/10 < m < -1/2 +√5/10 --(3)
Obviously, there is no common part between the solution set of (2) (3) and (1);
But y (m-1) < 0 solution m < 3 / 2 - √ 5 / 10 or M > 3 / 2 + √ 5 / 10
Y (M + 1) < 0 solution m < - 1 / 2 - √ 5 / 10 or M > - 1 / 2 + √ 5 / 10
The intersection part is {m | 1 / 2 - √ 5 / 10 < m < 1 / 2 + √ 5 / 10}
Therefore:
Y1, Y2 must satisfy Y1
Second derivative of implicit function in MATLAB
Write the program as sin (x + y) = X
clear all
syms x y
g=sym('sin(x+y(x))=x')
dgdx2=diff(g,x,2)
It is known that the function f (x) is an increasing function on R, a, B ∈ R. it is proved that if f (a) + F (b) > F (- a) + F (- b), then a + b > 0
In this paper, we prove the inverse negative proposition of the original proposition: "if a + B ≤ 0, then f (a) + F (b) ≤ f (- a) + F (- b)" is true. We prove that a + B ≤ 0 {a ≤ - B, B ≤ - a} f (a) ≤ f (- b), f (b) ≤ f (- a)} f (a) + F (b) ≤ f (- b) + F (- a). So the original proposition: if f (a) + F (b) > f (- a) + F (- b), then a + b > 0 is also true
If the power a of 2, the power B of 8, and the power a + B of 8 are equal to?
If the power a of 2 = m, the power B of 8 = n, the power a + B of 8 is equal to?
A + B power of 8
=A power of 8 × B power of 8
=(a power of 2) & B power of # 179; × 8
=m³n
Gerund phrases as subjects
walk to school instead of going by bus.
Eating too much, why not the first one and the second one?
Is it better to see a doctor
The first one is verb predicate, right? The second one is instead of preposition;
Had better go to see a doctor
If the solution of the linear equation AX + B-5 = 0 with respect to X is x = 2, then the value of 4a2 + B2 + 4ab-2a-b + 3 is______ .
Substituting x = 2 into the equation, we get: 2A + B-5 = 0, that is, 2A + B = 5, then the original formula = (2a + b) 2 - (2a + b) + 3 = 25-5 + 3 = 23
The difference between a quantity of and quantities of
It means the same, but pay attention
The subject is the quantity in it
therefore
The verb after a quantity of is / does;
The verb after quantities of is / do
In △ ABC, if AB = 8, AC = 6, ∠ a = 60 °, then the area s of △ ABC=___
Using a high school formula s = (1 / 2) * AB * ac * Sina = (1 / 2) * 8 * 6 * (radical 3) / 2 = 12 * radical 3
The usage of some English phrases
Nothing improves the memory more than trying to forget
Another question is why is a good reliable car good in the front?
There is nothing more memorable than trying to forget. The more you remember the things you most want to forget, the more you remember them