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How to find the sum of the coefficients in binomial
If all the letters in the binomial are equal to 1, the result is equal to the sum of the coefficients of the binomial expansion
Mathematical binomial coefficient
If the power of (2x + radical 3) 3 = A0 + a1x + a2x + a3x3, then the value of (A0 + A2) - (a1 + a3) is A-1 B1 c0d2
A (2x + radical 3) 3 power = A0 + a1x + a2x power + a3x3 power take x = 1 (2 + radical 3) 3 power = A0 + A1 + A2 + a3 take x = - 1 (- 2 + radical 3) 3 power = a0-a1 + A2-A3 left and right multiplication (2 + radical 3) 3 power * (- 2 + radical 3) 3 power = (A0 + A1 + A2 + a3) * (a0-a1 + A2-A3) = (A0 + A2) power - (A1
On the coefficient of mathematical binomial
If (1 √ 2) ∧ 4 = a B √ 2, then a B=
AB is also a plus sign in the middle
(1+√2)^4=ab√2ab=(1+√2)^4/√2 =(1+√2)²(1+√2)²/√2 =(1+2√2+2)(1+2√2+2)/√2 =(3+2√2)²/√2 =(9+12√2+8)/√2 =(17+12√2)/√2 =(17√2+24)/2∴ab=12+17/2√2...
On the problem of binomial coefficient in Mathematics
We know that in the expansion of (1 + 2x) to the nth power, the sum of the coefficients of all terms is equal to 6561, then the coefficient of X3 power in this expansion is________ ...
448
When x = 1, it is easy to get n = 8
How does Casio fx-82tl calculate the nth power of a number today?
For example, how to use the 10th power of 1.06?
I've learned it for a long time, but now I forget it
XY key
(below the off key, right side of the cube key)
Such as 1.6 to the 10th power, that is: 1.6 XY 10=
Shift XY is the root of n power
What's the meaning of the value of sine and cosine? For example, sin30 is equal to half. What can this do? What's the fundamental meaning,
What's the use and significance of half
In triangle ABC, ∠ C = 90 °,
Let the hypotenuse AB = C, the right angle AC = B, BC = a (the angle should be in upper case, the edge should be in lower case)
If ∠ a = 30 °, there must be sin30 ° = BC / AB = A / C = 1 / 2,
In the design of machinery, geodesy, transportation, has a wide range of applications
How to calculate sine 1 × sine 2 + cosine 1 × cosine 2
cos2cos1+sin2sin1=cos(2-1)=cos1.
Y = x ^ 2 + 1 / 2x-1, y = x sin1 / x, find the discontinuity point, point out the type of discontinuity point and explain the reason
If the function f (x) is defined in a centreless neighborhood of point x0, and there are one of the following cases: (1) it is not defined in x = x0; (2) although it is defined in x = x0, but x → x0 limf (x) does not exist; (3) although it is defined in x = x0, and X → x0 limf (x) exists, but x → x0 limf (x) ≠ f (x0), then the function f (x) is defined in x = x0
What is the derivative of the function f (x) = (1 + x) ^ 2-ln (1 + x) ^ 2
f(x)＝(1+x)^2-ln(1+x)^2
f‘(x)＝2(1+x)-2/(1+x)
Derivative function of F (x) = X-1 / x + 2 + ln (x2 + 1)
f(x)=x-1/x+2+ln(x2+1)
f'(x)=1+1/x^2+2x/(x^2+1)
RELATED INFORMATIONS
- 1. It is known that the coefficient with X term in the expansion of F (x) = (1 + 2x) m + (1 + 4x) n (m, n ∈ n *) is 36. The minimum coefficient with x 2 term in the expansion and the value of M, n are obtained
- 2. What is the difference between the binomial coefficient of binomial expansion and that of binomial expansion
- 3. How to find the maximum or minimum term of binomial coefficient expansion It's a coefficient, not a binomial coefficient,
- 4. In the expansion of binomial (2x + 6) ^ 6, what is the coefficient with x ^ 4 term
- 5. If the constant term in the expansion of binomial (1 / x-ax ^ 2) ^ 9 is - 21 / 2, then the real number a =? RT
- 6. If we know that in the expansion of (1 + ax) 6, the coefficient of X3 is equal to 160, then the real number a=______ ．
- 7. In the expansion of (1 + 2x) ^ n, let the sum of binomial coefficients of odd terms be the sum of the first n terms of an sequence and be Sn, then what is Liman / Sn equal to
- 8. Let the sequence {an} {BN} be Lim an BN = 0. If an is unbounded, then BN must be bounded. Is it correct? Why?
- 9. Let one of {an} and {BN} be a convergent sequence and the other a divergent sequence. It is proved that {an ± BN} is a divergent sequence We also ask whether {anbn} and {an / BN} (BN ≠ 0} must be divergent sequences
- 10. An is an arithmetic sequence, an = 13 + (n-1) 2. An = log2bn. It is proved that BN is an arithmetic sequence
- 11. If the limit (1 + A + A ^ 2 +... + A ^ (n-1)) = 2 / 3, then the coefficient sum of binomial (x-2a) ^ 10 expansion is
- 12. Prove the boundedness of function f (x) = x / (x ^ 2 + 1)
- 13. If f (x) has a limit at x = x0, then f (x) has a limit at x = x0 A may not be defined B continuous C-differentiable D discontinuity
- 14. What is the definition of function limit when x → x0?
- 15. If f (x) is defined at point x0, what is the condition (sufficient, necessary or sufficient) for the existence of limit f (x), and vice versa?
- 16. Given the function f (x) = log2 (x + A / x) (a is a constant), if the function is an increasing function at (2, positive infinity), find the value of A
- 17. Let f (x) = x + λ / x, constant λ > 0 If λ = 1, the monotonicity of F (x) on the interval [1,4] is judged and proved 2 if f (x) increases monotonically in the interval [1,4], find the range of λ
- 18. Let the domain of definition of function f (x) be D, and there exists x0 ∈ D, so that f (x0) = x0 holds. The point with (x0, x0) as the coordinate is called the fixed point on the image of function f (x) 1. If the function f (x) = 3x + A / x + B (a, B ∈ R) has two symmetric fixed points about the origin, find the conditions that real numbers a and B satisfy; 2. Is the proposition "if there are finite fixed points on the image of odd function f (x) defined on R, then there are odd fixed points?" correct? Give proof or give counterexample. What is the conclusion about even function?
- 19. Let the intersection of the image of the function y = x ^ 3 and y = 2 ^ (2-x) be (x0, Y0), then what is the interval of x0
- 20. Let the image of the function y = 2Sin (2x + π 3) be centrosymmetric with respect to point P (x0, 0). If x0 ∈ [− π 2, 0], then x0 ∈=______ ．