The function expression of y = sin3x after translation according to vector a (- Π / 6,1)

Let (x, y) be a point on the original function
After translation, the corresponding point on the new function image is (x1, Y1)
So X1 = x - π / 6
y1=y+1
So x = X1 + π / 6, y = Y1 - 1
Bring in the analytic expression of the original function:
y1 -1=sin3(x1+π/6)
That is, Y1 = 1 + sin (3x1 + π / 2) = 1 + cos3x1
Then the new analytic formula is y = 1 + cos3x

If a normal vector of plane α n = (3,3,0) and a direction vector of line L A = (1,1,1), then the cosine of the angle between L and plane α is?

If a normal vector of plane α n = (3,3,0) and a direction vector of line L A = (1,1,1), then the cosine of the angle between L and plane α is √ 3 / 3

If the direction vector of line L is a = (1,2,0), and the normal vector of plane a is u = (- 2,0, - 4), then the relationship between L and a is?

Using the formula of angle between straight line and plane
sinθ=│a*u│/（│a││u│）=1/5
The angle is θ = arcsin (1 / 5)

If a 6.28-long iron wire is enclosed into a square, the area of the square is () square meters; if it is enclosed into a circle, the area of the circle is () square meters

If a 6.28-long wire is enclosed into a square, the area of the square is (2.4649) square meters; if a circle is enclosed, the area of the circle is (3.14) square meters

Given a + B = 5, ab = 3. Find a square + b square, a fourth power + B fourth power

Several mathematical problems, the answer and the process
36÷（-4）
（-7/16）÷3/8
-3 / 4 ^ (- 1 and 1 / 2) ^ (- 2 and 1 / 4)
(-2/3)×（-1/2)÷（-2）
-3.14×35.2+6.28×（-23.3）-1.57×36.4

36 ^ (- 4) = - 36 ^ (- 4) = - 9 (- 7 / 16) ^ (- 3 / 8) = - 7 * 8 ^ (16 * 3) = - 7 / 6-3 / 4 ^ (- 1 and 1 / 2) ^ (- 2 and 1 / 4) = - 3 * 2 * 4 ^ (4 * 3 * 9) = - 2 / 9 (- 2 / 3) × (- 1 / 2) ^ (- 2) = - 2 ^ (- 2) ^ (- 2) = - 1 / 6 - 3.14 × 35.2 + 6.28 × (- 23.3) - 1.57 × 36.4 = - 3.14 × 35.2 + 2 × 2

If the side length of a square is increased by 3 cm, the area will be increased by 45 square cm. The original area of a square is 3 cm______ ．

(45-3 × 3) / (3 + 3), = 36 △ 6, = 6 (CM); the area of the original square: 6 × 6 = 36 (cm 2); answer: the area of the original square is 36 cm 2. So the answer is: 36 cm 2

What is the name of the earth's orbit plane
A white way B ecliptic silver way D red way
It needs proof

B
Then what proof? This is fixed!

Difference between plane stress and plane strain

Both plane stress and plane strain are concepts derived from simplifying space problems
Plane stress: there is stress only in the plane, and the stress perpendicular to the plane can be ignored, such as tension and compression of thin plate
Plane strain: there is strain only in the plane, and the strain perpendicular to the plane can be ignored, such as the lateral water pressure of dam
Specifically, plane stress means that all stresses are in one plane. If the plane is oxy plane, then there are only normal stress σ x, σ y, shear stress τ XY (they are all in one plane), and no σ Z, τ YZ, τ ZX. Plane strain means that all strains are in one plane. Similarly, if the plane is oxy plane, then there are only normal strain ε x, ε y and shear strain γ XY, but no ε Z, γ YZ, γ ZX
For example: plane strain problems, such as pressure pipes and dams, are cylindrical bodies with a long longitudinal axis, and the size and shape of the cross section remain unchanged along the axis; the applied external force is perpendicular to the longitudinal axis and remains unchanged along the length; both ends of the cylinder are subject to fixed constraints, The thickness of the thin wall is much smaller than that of the other two directions of the structure. The middle plane of the thin plate is a plane, and the external force, including the physical force, is parallel to the inner plane of the middle plane and does not change along the thickness direction

The function expression of y = sin3x after translation according to vector a (- Π / 6,1)