Let f (x) = asin (KX + pai3) and G (x) = btan (KX Pai / 3) (k greater than 0), if the sum of their minimum positive periods is 3pai / 2, f (PAI / 2) = g (PAI / 2), f (PAI / 4) = - root 3G (PAI / 4) + 1

Let f (x) = asin (KX + pai3) and G (x) = btan (KX Pai / 3) (k greater than 0), if the sum of their minimum positive periods is 3pai / 2, f (PAI / 2) = g (PAI / 2), f (PAI / 4) = - root 3G (PAI / 4) + 1

The minimum positive period of sine function is T1 = 2 π / K
The minimum positive period of tangent function is T2 = π / K
Because T1 + T2 = 3 π / 2, that is 2 π / K + π / k = 3 π / 2, k = 2
f（π/2）=asin（2*π/2+π/3）=-√3/2*a
g（π/2）=btan（2*π/2-π/3）=-√3*b
So) - √ 3 / 2 * a = - √ 3 * B, that is, a = 2B. 1
f（π/4）=asin（2*π/4+π/3）=1/2*a
g（π/4）=btan（2*π/4-π/3）=√3/3*b
1/2*a=-√3*（√3/3*b）+1.2
A = 1, B = 1 / 2
So f (x) = sin (2x + π / 3)
g（x）=1/2tan（2x-π/3）

Given that the square of the absolute value of n of equation (n-1) x = 1 is a linear equation of one variable with respect to x, what is n = then?

n=-1
1-1=0
So it can only be - 1

The inverse function of y = log2 (X & # 178; - 2x + 3), X ∈ (- ∞ 1)
Log is the inverse function of 2 (X & # 178; - 2x + 3), X ∈ (- ∞ 1)

Ask higher mathematics multiple function derivation problem!
Let z = f (XY, X / y) + G (Y / x), where f and G are differentiable, then ex / ey =?
(here e is used to indicate the inverted e sign)

=-Zy/Zx
ZX is the partial derivative of Z to X
ZY is the partial derivative of Z to y
The rest of their own calculation, this is the most basic problem

Given the function f (x) = ex-e2x, find the monotone interval of F (x), and explain its monotonicity in each interval, find the maximum and minimum value of F (x) in the interval [0,3]

It is known that a is an orthogonal matrix of order n and a * is an adjoint matrix of A. It is proved that a * is an orthogonal matrix

detA=1 or detA=1
A*A=E or A*A=-E
A*=A^T or A*=-A^T
A*^T=A or A*^T=-A,
A*^TA*=A*A*^T=E
So: a * is an orthogonal matrix

What lead to the subject clause predicate verb singular and plural?
Example:
what they need is/are two books.
Don't look for me on the Internet. I've checked everything

In the plural, two examples are provided
What seem to be two dead trees are blocking the road.
What most surprise me are the inflammatory remarks at the end of his article.

If f (x) = x (x + 1) (x + 2) (x + 3) (x + 4) (x + 5) + 6, then f '(0)=______ ．

∵f（x）=x（x+1）（x+2）（x+3）（x+4）（x+5）+6，∴f′（x）=（x+1）（x+2）（x+3）（x+4）（x+5）+x（x+2）（x+3）（x+4）（x+5）+x（x+1）（x+3）（x+4）（x+5）+x（x+1）（x+2）（x+4）（x+5）+x（x+1）（x+2...

Large amounts of countable nouns or uncountable nouns?

A large amount of damage has been done one by the earth quake. Large

As shown in the figure, the side length of the square oabc is 1cm, which is a visual image of a plane figure placed horizontally, then the perimeter of the original figure is______ ．

The length of oabc is 1, which is a visual image of a plane figure placed horizontally, so ob = 2cm, the height of parallelogram of the original figure is 22cm, so in the original figure, OA = BC = 1cm, ab = OC = (22) 2 + 12 = 3cm, so the perimeter of the original figure is 2 × (1 + 3) = 8cm, so the answer is: 8cm