The intersection point of the functions y = SiNx and y = cosx in [0, π / 2] is p, and the area bounded by their two tangent lines at point P and X axis is? Can you do the calculation for me. It's not the same as what I found on the Internet. I do it this way

The intersection point of the functions y = SiNx and y = cosx in [0, π / 2] is p, and the area bounded by their two tangent lines at point P and X axis is? Can you do the calculation for me. It's not the same as what I found on the Internet. I do it this way


1、 The intersection coordinates of sine function and cosine function on [0, π / 2] are obtained;
2、 The slopes of the two tangents on the point are obtained (the simplest is y '︱ x =? With the first derivative);
3、 Two intersections of two lines and X-axis are obtained;
4、 Conclusion



F (x) is an even function on R, and its image is symmetric with respect to the line x = 1. It is proved that f (x) is a periodic function


F (x) is an even function on R. f (- x) = f (x)
Its image is symmetric with respect to the line x = 1 and deduces f (1-x) = f (1 + x)
So f (x + 2) = f (1 + (1 + x)) = f (1 - (1 + x)) = f (- x) = f (x)
So f (x) is a periodic function and 2 is its period



If the function y = f (x) is even, then the image of the function g (x) = f (f (x)) is symmetric with respect to ()


Y-axis, you think, for example, y = x ^ 2 is even function, y = FF (x) = (x ^ 2) ^ 2 = x ^ 4, is still even function, so: About Y-axis symmetry. Welcome to "play math 8 bar" to ask questions, dedicated to provide you with free detailed answers!



The distance from the origin of the points representing + 3 and - 3 on the number axis is () unit length


3



Boys wear white hats. Girls wear red hats. Every boy sees white hats as much as red hats. Every girl sees white hats twice as much as red hats


Suppose x men and Y women, then
x-1=y
y-1=x/2
Substituting y = X-1 into the second formula, we get X-1-1 = x / 2, then x = 4
So y = 3
The solution is x = 4, y = 3
The total number is 7



The addition and subtraction of integers should be simplified before evaluation
1.5x & sup2; + radical 5 X-2 (2x & sup2; - 3) + (1-x), where x = radical 5
1 / 2 x - (2x - (2 / 3) y & sup2;) + ((- 3 / 2) x + (1 / 3) y & sup2;), where x = - 1 / 4, y = - 1 / 2
&Sup2: it means square. If you can't see clearly, please use a magnifying glass


1. The original formula = 5 * x ^ 2 + (sqr5) * x-4 * x ^ 2 + 6 + 1-x = x ^ 2 + ((sqr5) - 1) * x + 7, substituting x = root 5 into the original formula = 5 + 5-sqr5 + 7 = 17-sqr52. The original formula = (1 / 2) * X-2 * x + (2 / 3) y ^ 2 - (3 / 2) x + (1 / 3) y ^ 2 = y ^ 2-x, substituting x = 1 / 4, y = 1 / 2 into the original formula = 1 / 4-1 / 4 = 0



The cube of () is - 64 / 343


-64/343=-(4×4×4)/(7×7×7)
-64 open cubic = - 4
343 to the third power = 7
So the answer is [- 4 / 7]
I hope I can help you~



A passenger car and a freight car start from a and B at the same time. They travel in opposite directions. The speed ratio of the passenger car and the freight car is 5:3, which is 36 kilometers more than 2 / 5 of the whole journey
Both algebra and equation are needed


What's this? It seems that I've seen it before... The distance between the bus and the bus is 5 / (3 + 5) = 5 / 8, 36 ^ (5 / 8-2 / 5) = 36 ^ (9 / 40 = 160 km). Do you want to know the distance? The equation is as follows: the distance between a and B is x km, 5 / 8x = 2 / 5x + 36 5 / 8x-2 / 5x = 36, x = 36



It is known that the function y = 2Sin ω x (ω > 0) has at least two maximum values in the interval [0,1]. The value range of ω is obtained
Urgent!


ω>5π/2
It can be seen from the meaning of the problem that the 5 / 4 period of the equation needs to be less than 1 (the highest point of the sine image appears twice within 1, at least another period plus a quarter period)
The period is 2 π / ω, so the equation 5 / 4x2 π / ω is obtained



It takes 20 days to transport a pile of soil. If you transport 30 vehicles a day, you need to complete the task five days in advance. How many vehicles do you need to transport every day?


30 × 20 (20-5) = 600 △ 15 = 40 (cars); answer: 40 cars are transported every day