By setting x equal to the appropriate values in the binomial expansion ( or one of its derivatives) evaluate the following : sum(k=1 to n) (n,k) k^2
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Wine bottles are never completely filled: a small volume of air is left in the glass bottle's cylindrically shaped neck (inner diameter d = 18.5mm) to allow for wine's fairly large coefficient of thermal expansion. The distance H between the surface of the
Using the binomial theorem, Find the first three terms in the expansion of (x-(1/x))^5. My solution: C(5,0)x5 + C(5,1)(x4)(-1/x) + C(5,2)(x3)(-1/x)2 x5 + (5)(x4)(-1/x) + 10(x3)(-1/x)2 x5 + (-5x4/x) + 10(x3)(1/x2) x5 + (-5x3) + 10(x) x5 -5x3 + 10x The first
Math - binomial
Find the indicated term in the expansion of the given binomial. The term that does not contain x in the expansion of (6x+1/2x)^12 Is there an easier way to find the answer instead of going through finding 13 terms Thanks.
Algebra 2 -Linear Programming
Find the values of x and y that maximize or minimize the objective function. x+y < or equal to 8 2x+y < or equal to 10 x> or equal to 0, y > or equal to 0 A. (0,5) Maximum value is 100 B.(1,7) Maximum value is 220 C.(2,6) Maximum value is 280 D. (5,0)
For what real values of 2x^2+ax+25 the square of a binomial? If you find more than one, then list the values separated by commas.
With n=13 and p= 0.7, find the binomial probability p(9) by using a binomial probability table. If np> and nq> 5, also estimate the indicated probability by using the normal distribution as an approximation to the binomial, if np
How do you determine if a mapping, table, or set of ordered pairs represents a function? A-all x values are different B-some x values repeat C-some y values repeat D-all y values are different I really have no clue what it is.
A popular resort hotel has 300 rooms and is usually fully booked. About 4% of the time a reservation is cancelled before 6:00 PM deadline with no penalty. What is the probability that at least 280 rooms will be occupied? Use binomial distribution to find
Compare and Contrast American Expansion in the late 1800's with the expansion in the 1900's. (How the expansion efforts were the same and how they were different.) During the expansion of the late 1800's and early 1900's shared similarities in that the
In the expansion of (2x^2 + a/x)^6, the coefficients of x^6 and x^3 are equal. Find the value of the non-zero constant a and the coefficient of x^6 in the expansion of (1 - x^3)(2x^2 + a/x)^6.