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How to prove that the function f (x) = 2sinx-x + 1 is continuous on the closed interval [0,3]? Such as the title
It is easy to prove that SiNx and X are continuous on the closed interval [0,3]
And the four operations of continuous function result in continuous function, so the problem is solved
How to understand the marginal income function in Higher Mathematics
It's better to give an example,
Every time the sales volume of a product is increased, the increased revenue is the marginal revenue
Total revenue tr = PQ
In the case of constant price, the marginal revenue function = (TR) '= P
The problem of higher number function
(1) Finding monotone interval of function f (x) = x-x Λ 2 + 1
(2) Finding the concave convex interval of function y = (x + 1) ∧ 4 + e∧ x
Answer: 1) f (x) = x-x ^ 2 + 1 = - x ^ 2 + X-1 / 4 + 5 / 4 = - (x-1 / 2) ^ 2 + 5 / 4, so: monotone increasing interval is (- ∞, 1 / 2], monotone decreasing interval is [1 / 2, + ∞) 2) y = (x + 1) ^ 4 + e ^ x derivation: y '(x) = 4 (x + 1) ^ 3 + e ^ x derivation again: y' '(x) = 12 (x + 1) ^ 2 + e ^ x > 0, so: y concave interval is (- ∞, + ∞)
1、5/6xπx6x6
2、1/6xπx2x2x2
130 Pai is about 94.2478
2 4 / 3 is about 4.188790
As shown in the figure, the quadrilateral ABCD is a parallelogram, AC and BD intersect at point O, DB is perpendicular to AD and D, BF is perpendicular to CD and F, OB = 1.5, ad = 4, calculate DC and BF
If you are the one!
This is a sketch
A quadrilateral ABCD is a parallelogram
∴DO=BO=1.5,AB=CD
∴DB=3
Using Pythagorean theorem, ab = 5, so DC is also equal to 5
Reuse area method
S parallelogram ABCD = ad × BD = 12
It can also be expressed as CD × BF
So CD × BF = 12
BF=2.4
The distance between the sun and the earth is very far, about 1.5 times 10 km. When does the sunlight we see at noon start from the sun?
The propagation of light is the process of energy transmission, and it is a process of one by one transmission. If we don't consider other conditions, we only consider the distance between the sun and the earth - an astronomical unit, 149.6 million kilometers, and the propagation speed of light is 3 million meters per second. It only takes about 10 minutes (498.6 seconds) for light to reach the earth. Therefore, the sun at 12 noon starts from the sun at 11:50 local time!
Find the volume and surface area of the cylinder and the volume of the cone
Cylinder: 5 cm in diameter, 6 cm in height
Cone: radius 4 cm, height 5 cm
I'm done. How can the cone be divided?
Cylinder: 5 △ 2 = 2.52.5 * 2.5 * 3.14 * 6 = 117.75
Cone: 4 * 4 * 3.14 * 5 * 1 / 3 ≈ 83.73
the perimeter of a rectangular playground is 300 meters. Now the length and width are increased by 10 meters respectively. How many square meters is the area of the increased part?
Using elementary methods, equations and formulas, we need to analyze,
Primary school students should draw a rectangle as follows, and then draw a rectangle 10 long on each side. The increased part is the extra L-shape. The area of L-shape is: (300 / 2 + 10 + 10) x10-10x10 = 1600. Because the area of 10x10 is calculated repeatedly, it needs to be reduced. May my answer be helpful to you! If you have any questions, please go after
Approximate 45 million by rounding
Approximate 45000300 by rounding
Yuyii,
45 million = 45 million
45000300 ≈ 45000000
A 470 meter long train passes the 1030 meter long bridge in 1 minute and 20 seconds, and then passes a tunnel in 40 seconds at the same speed. How long is the tunnel?
1 minute 20 seconds = 80 seconds, [(470 + 1030) △ 80] × 40-470 = 18.75 × 40-470 = 750-470 = 280 meters; answer: the tunnel is 280 meters long
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