What is the symmetry of the image of the function f (x) = (1 / x) + SiNx

What is the symmetry of the image of the function f (x) = (1 / x) + SiNx

f(x)+f(-x)
=1/x+sinx-1/x-sinx
=0
So f (x) is an odd function, symmetric about the origin

If the image of F (x) = SiNx + acosx is symmetric with respect to x = π / 6, then a =?

f(x)=√(a^2+1)sin(x+z)
tanz=a/1=a
SiNx axis of symmetry is to go to the maximum value
So x + Z = k π + π / 2
x=π/6
z=kπ+π/3
A = Tanz = Tan (K π + π / 3) = Tan π / 3 = radical 3

If the function f (x) = f (π - x), then the image is symmetric with respect to which line, why and when x ∈ (- π / 2, π / 2), f (x) = x + SiNx compares f (1)
F (x) = x + SiNx compare the size of F (1) f (2) f (3)

If f (x) = f (π - x), then f (x) is symmetric with respect to x = π / 2
When x ∈ (- π / 2, π / 2), f (x) = x + SiNx is an increasing function
So when x ∈ (π / 2,3 π / 2), f (x) is a decreasing function
F (1) = f (π - 1)
π/2f(3)

7.8 cubic decimeter = () cubic centimeter 8700 cubic centimeter = () cubic decimeter 5400 cubic decimeter = () cubic meter 0.34 cubic meter = () M3

7.8 cubic decimeter = (7800) cubic centimeter 8700 cubic centimeter = (8.7) cubic decimeter 5400 cubic decimeter = (5.4) cubic meter 0.34 cubic meter = (0.34) M3

If the expansion of polynomial multiplication (MX + 8) (2-3x) does not contain x term, then the value of M is?

（mx+8）(2-3x)=2mx-3mx^2+16-24x
Because there is no X term, 2mx-24x = 0
m=12
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Finding the plane equation of X + y + Z = 100 and tangent to the sphere x ^ 2 + y ^ 2 + Z ^ 2 = 4

Make the title clear
X + y + Z = 100. What's the use of this plane?
Parallel to it?
Let's say it's parallel to the plane x + y + Z = 100
Let the plane be x + y + Z = n
According to Cauchy Inequality: (x ^ 2 + y ^ 2 + Z ^ 2) * (1 + 1 + 1) > = (x + y + x) ^ 2 = n ^ 2
x^2+y^2+z^2>=n^2/3
The shortest distance from any point on the plane to the origin = root (n ^ 2 / 3) = 2
n^2/3=4
N = 2 root 3 or - 2 root 3
The plane obtained is as follows:
X + y + Z = 2 root 3 or x + y + Z = - 2 root 3

How fast is seventy miles

It's 70 kilometers an hour

1 () - 999 () = 1 () what is the length unit in the brackets?

1 (km) - 999 (m) = 1 (m)
1 (s) - 999 (MS) = 1 (MS)
1 (kg) - 999 (g) = 1 (g)
……
……
……

Let a and B be the left and right vertices of the ellipse C: x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0), the length of the major axis of the ellipse is equal to twice the focal length, and x = 4 is its right guide line
(1) Find the elliptic equation (2) m (x0, Y0) (different from a, b) is an ellipse with any P on the right directrix, and a, m, P are collinear. Use x0, Y0 to express the coordinates of P, and prove that ∠ PBM is an acute angle

I'll do it for you

A rectangle with a length of 9 decimeters, if the length is removed by 4 decimeters, the area will be reduced by 20 square decimeters. What is the perimeter of the original rectangle?

The width of the rectangle is
20/4=5
So the perimeter is (9 + 5) * 2 = 28