Given the arc length, chord height, how to find the radius or chord length?
Given arc length C and chord height h, how to find radius r?
Use the following formula to find r!
Rn+1=(1-(Rn*COS(C/(2*Rn))-Rn+H)/((C/2)*SIN(C/(2*Rn))-H))*Rn
Please give a specific data! I'll ask you to see!
(x-1) ^ n = A0 + a1x ^ 1 + a2x ^ 2 + a3x ^ 3 +... + anx ^ n find A0 + an
(x-1) ^ n = A0 + a1x ^ 1 + a2x ^ 2 + a3x ^ 3 +... + anx ^ n find A0 + an
an = 1,a0 = (-1)^n
When n is odd, A0 + an = - 1 + 1 = 0
When n is even, A0 + an = 1 + 1 = 2
Given (1 + 2x) ^ n = A0 + a1x + a2x ^ 2 +... + anx ^ n, find a1 + 2A2 + 3a3 +... + Nan and give the expression
(1+2x)^n=a0+a1x+a2x^2+...+anx^n
If both sides take derivatives of X at the same time, we get the following result
2n(1+2x)^[n-1]=a1+2a2x+...+nanx^[n-1]
Let x = 1
A1 + 2A2 + 3a3 +... + Nan = 2n (1 + 2) n-1 power = 2n × 3 n-1 power
The function f (x) is defined by the right table: if A0 = 5, a (n + 1) = f (an), n = 0,1,2 Then a2013=
Table: (omit table line)
x 2 5 3 4
f(x) 2 3 4 5
a0=5,a1=f(a0)=f(5)=3
a2=f(a1)=f(3)=4
a3=f(a2)=f(4)=5
a4=f(a3)=f(5)=3
...
Therefore, the above results show that every three are a cycle, so there is 2013 / 3 = 671, and there is no remainder, so a2013 = A3 = 5
The function f (x) is defined by a small table: if A1 = 1, A2 = 5, a (n + 2) = f (an), a2013 =? X 1 2 3 4 5, f (x) 3 4 5 2 1
x 1 2 3 4 5
f(x) 3 4 5 2 1,
a3=f(a1)=f(1)=3,
a4=f(a2)=f(5)=1,
a5=f(a3)=f(3)=5,
a6=f(a4)=f(1)=3,
3 is the period of an,
a2013=a3=3.
The function f (x) is defined by the following table x 2 5 3 1 4 f (x) 1 2 3 4 5
A1 = 5, a (n + 1) = f (an), n = 1,2,3, l, then the value of A2009 is ()
A 1 B 2 C 4 D 5
A1 = 5, A2 = f (A1) = 2, A3 = f (A2) = 1, A4 = f (A3) = 4, A5 = f (A4) = 5, so it is a cycle with a period of 5
a2009=a4=4
The function f (x) is defined by a small table: if A1 = 1, A2 = 5, a (n + 2) = f (an), A2010 =?
x 1 2 3 4 5
f(x) 3 4 5 2 1
Since A1 = 1, let n = - 1, then a (- 1 + 2) = f (- a) = A1 = 1, so f (- a) = 1, let x = - A, then f (x) = 1, then f (5) = 1
So if - a = 5, then a = - 5, then A2010 = - 5 × 2010 = - 10050
It is known that the graph of the function F & nbsp; (x) defined on R is continuous and has the following corresponding value table: X 123 F & nbsp; (x) 6.12.9 - 3.5, then the interval where the function f (x) must have zero is______ .
∵ the image of function F & nbsp; (x) defined on R is continuous, and f (2) = 2.9 > 0, f (3) = - 3.5 < 0, that is, f (2) · f (3) < 0. According to the existence theorem of function zeros, the interval of function f (x) must have zeros is (2,3), so the answer is: (2,3)
If m, n ∈ {x | x = A2 + a1x10 ^ 2 + a1x10 + A0}, where a1 ∈ {1,2,3,4,5,6,3q}
If m, n ∈ {x | x = A2 + a1x10 ^ 2 + a1x10 + A0}, where a1 ∈ {1,2,3,4,5,6,7} (I = 0,1,2), and M + n = 636, find the real number pair (m, n) representing the number of different points on the plane
Remember a = {x | x = A2 * 10 ^ 2 + A1 * 10 + A0}, that is, to find the number of solutions of M + n = 636 in a, we can investigate it according to the decimal bit. First, look at the individual bit, A0 (m) + A0 (n) = 6, there are 5 possibilities. Then look ahead: A1 (m) + A1 (n) = 3 and A2 (m) + A2 (n) = 6, there are 2 * 5 = 10 possibilities, A1 (m) + A1 (n) = 13 and A2 (m) + A2 (n) = 5, there are 2 * 4 = 8 possibilities, so there are (10 + 8) * 5 = 90 solutions, corresponding to 90 different points on the plane
Let f (x, y) = (1 + m / y) ^ x (M > 0, Y > 0) if f (4, y) = A0 + A1 / y + A2 / y ^ 2 + A3 / y ^ 3 + A4 / y ^ 4 and A3 = 32, find ∑ AI
Let f (x, y) = (1 + m / y) ^ x (M > 0, Y > 0) if f (4, y) = A0 + A1 / y + A2 / y ^ 2 + A3 / y ^ 3 + A4 / y ^ 4 and A3 = 32, find ∑ (4 above, I = 0 below) AI
f(4,y)=(1+m\y)^4
Because A3 = 32
So C34 * m ^ 3 = 32 ----- M = 2
The formula = (1 + 2) ^ 4 = 81