Are 1 and 3 multiples of 6? What are the multiples of 6?

Are 1 and 3 multiples of 6? What are the multiples of 6?


It's not a multiple of 6. The least common multiple of 6 is itself. Numbers that can divide 6, such as 6, 12.18, etc



Multiple of 1-100 Li 3
Please indicate the Chinese meaning!


3 :three
6 :six
9 :nine
12 :twelve
15 :fifteen
18 :eighteen
21 :twenty one
24 :twenty four
27 :twenty nine
30 :thirty
33 :thirty three
36 :thirty six
39 :thirty nine
42 :forty two
45 :forty five
48 :forty eight
51 :fifty one
54 :fifty four
57 :fifty seven
60 :sixty
63 :sixty three
66 :sixty six
69 :sixty nine
72 :seventy two
75 :seventy five
78 :seventy eight
81 :eighty one
84 :eighty four
87 :eighty seven
90 :ninety
93 :ninety three
96 :ninety six
99 :ninety nine



Online and so on! Thank you for your kindness! Find the necessary and sufficient condition for the image of function f (x) = (a + 4a-5) x-4 (A-1) x + 3 to be all above the x-axis


The necessary and sufficient condition is 1



Given the function y = X2 - (m2-4m + 8) X-2 (m2-4m + 10), the intersection of the image and the Y axis is a, and the X axis intersects B and C (C is on the right side of B)
The vertex of the graph is in the fourth quadrant, a is on the negative half axis, connecting AB and AC
(1) Find BC on both sides of y-axis
(2) Verify that angle c is a fixed value
(3) When m is the value, the area of triangle ABC is the smallest, and the minimum value is obtained


F (x) = x ^ 2-11x + 30 + A has two different zeros



Is it necessary and sufficient to make the image of function y = (a ^ 2 + 4A - 5) x ^ 2 - 4 (a - 1) x + 3 all above the x-axis?


Necessary and sufficient condition: A ^ 2 + 4A - 5 > 0 and "get him"



Given a point P (1.1) on the quadratic power of function y = x, what is the slope of the tangent passing through point P?


Using the geometric meaning of the derivative: the derivative of the function y = x ^ 2 is y = 2x. The function value of the derivative at x = 1 is 2, which is the slope of the tangent line of the curve at point P. in addition, some questions are not necessary according to your statement. It depends on whether the point P is on the curve, and the point is very simple. If it is not, it is necessary to set a tangent point



From the stationary point, we can get that the first derivative of F (x0) is 0. Can we get that the extremum at x = x0 is differentiable?


The first derivative of F (x0) can be obtained as 0 from the stationary point, which can be derived at x = x0, but not necessarily the extremum
Y = x ^ 3, x = 0 are stationary points, but not extreme points



Extremum of multivariate function -- Lagrange multiplier method
Find the length of the major and minor semiaxes of the ellipse cut by the plane x + y + Z = 0 from the elliptic surface (x ^ 2) / 3 + (y ^ 2) / 2 + Z ^ 2 = 1
Including if the later calculation needs hard calculation, also write out the process
My idea is that the distance from the point on the intersection line of ellipsoid and plane to the origin d ^ 2 = x ^ 2 + y ^ 2 + Z ^ 2
Then the constructor
L(x,y,z)=x^2+y^2+z^2 +λ[(x^2)/3 +(y^2)/2 +(z^2)-1]+u(x+y+z)
And then I'm going to come up with five formulas. I can only work out λ at most
Is there a better algorithm?
The maximum of the distance from the point on the intersection to the origin is the long half axis, and the minimum is the short half axis


Take two vectors x, y whose units are orthogonal on the plane, and write the plane x + y + Z = 0 as the parameter formula: (x, y, z) = UX + vy. Substitute the above parameter formula into (x ^ 2) / 3 + (y ^ 2) / 2 + Z ^ 2 = 1 to get the equation about u, V, but it contains the quadratic term such as UV



What is the half power derivative of X?


It can be obtained by using the derivative rule of compound derivative
The half power derivative of X is 1 / (2 radical x)



The half power derivative of logarithmic function


First, the logarithm is regarded as a whole, which can be simplified as f (x) = (logarithm) ^ (1 / 2), and the global derivative is 0.5 * (logarithm) ^ (- 1 / 2). Then, the logarithm is regarded as a whole, and the derivative is obtained. Then, the derivative of the true number in the logarithm is obtained, and the result is multiplied, and the final result is: 0.5 * (logarithm) ^ (- 1 / 2) * derivative of the logarithm whole * logarithm true