(a) P(2 < Xs 5), (b) P(3 < X s 7), and (c) P(X 2 6). *

Q: 5. Give a general form for T(n) for n > 2

A:

Q: %3D k (n+1) (k-10 (n+1) k +1 (*) n+1)

A: The correct option is the last option. The detailed solution is as follows below:

Q: Σ k! k=1

A:

Q: k! k 1

A: Consider the given series

Q: 1. In your own words, what is the binomial theorem. Find the 5th term of (x+7)

A: Given : x+77

Q: M8 etermine whether th 4(3k)! k=1 (k!)3

A:

Q: In a group, there were 115 people whose proofs of identity we passport, some had voter id and some…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Suppose X - X(3). Find k such that P(X > k) = 0.01. Round your answer to 3 decimals. k :

A: It is needed to find the value of k, such that, P(X &gt; k) = 0.01.

Q: first four terms of the recruisive sequnes . f(1)=3;f(n)=f(n-1)+1

A: f(1)=3 ,  f(n)=f(n-1)+1For n=2f(2)=f(1)+1       =3+1       =4⇒f(2)=4For n=3f(3)=f(2)+1       =4+1…

Q: (b) Find the big O of the function f(n) = n²" + n"

A:

Q: If 6th term of a G.P. is 9375 and its 4th term is 375.Find its 9th term.

A:

Q: 8+ド. K 13 let y6)=1 andyい し" Find Ķ

A:

Q: (a) In (x - 3) = 7 (b) In (x + 4) + In (x- 4) = 1

A: Given(a) In(x-3) = 7(b) In(x+4) +In(x-4) =1solve for x(a) In(x-3) = 7In(x-3) =7take Ine  both…

Q: -7 lim r any N > 0, there is a ô > 0 so that the following implication involving inequalities hold…

A: Limit

Q: N(x) = x² - 2x 5 N(X)=x²-2x-5 N of N

A:

Q: 1 lim 1+ n 1 + 2 + n 1 +...+ n→∞ п +n, : =?

A: first, calculate the sum of the series then find the limit of the given problem as following:-

Q: How do I find f prime of 3 if f(x)=13x/4+x2

A: Given,           fx=13x4+x2

Q: lim еxp is n exp 1. (e-e) 2. (e -). 3. (e* - e2). 4. None of the above O 1 O 2 O 4 3.

A:

Q: 9. If f(x) # 0f and f(x) is relatively prime to Or, what can be said about f(x)?

A: Relatively prime elements: Two elements f(x), g(x) ∈ F[x] are said to be relatively prime if…

Q: n a b=1

A: The combination formula to prove the given relation is nr+nr-1=n+1r. Break the summation of the…

Q: 2x-3 for *く-S メ+4 %3D ーメ+3 for マ-S メ+2 for x) -5 メ+ヒ find *ビ" し 1n for order f(x) to メ- -5

A:

Q: 2016 N Q3 -= V3-3. V3 - 1 a Without using a calculator, find the integers a and b such thất V3 +1

A:

Q: 3- (a) Complete k (-1)k 2 k! (k +n+ 1)! 2k+n = -h(x) k=1

A: First I have written the Bessele's function as in an infinite series form then by making a…

Q: sequence is defined recursively as sk = sk-1 + 3k  for k ≥ 2. s1 = 4 s2 =  s3 =  s4 =  s5 =

A: A sequence is defined recursively as sk = sk-1 + 3k  for k ≥ 2. s1 = 4

Q: 64. Suppose that 3 < f (x) < 5 for all values of x. Show that 18 < f(8)- f(2) < 30.

A:

Q: (a) Complete k (-1)* 2k+n = -½(x) k! (k + n + 1)! k=1

A: Solution a: Given ∑k=1k(-1)kk!(k+n+1)!x22k+n=-J?(x)            (1) Since we know that…

Q: Suppose X - x²(16). Find k such that P(X < k) = 0.01. Round your answer to 3 decimals.

A: consider, (1-0.01)=0.99  to obtain thecritical value to the left side

Q: Σ (-1)* True/False: We have = -1. (2k)! k=0

A: We know thatcos(x) = ∑k=0∞-1kx2k2k!

Q: A binomial distributinon with parameter n=5 satisfy the property 8P(X=4)= P(X=2). Find P left…

A:

Q: x+(x+1)+(x+2)+(x+3)+(x+4)=5x+10 What does this prove about the sum of these natural numbers?

A: The sum of the given equation is calculated as follows.

Q: Show that E( X - K )2 = var( X) + [E(X) - K]2

A: var(X)=E(X2)-E(X)2 E(a)=a  where a is constant (a-b)2=a2-2ab+b2

Q: 6* – 2 - lim x→0 ekx +7 k = (If any value of k will work, enter any; if none will work, enter none.)…

A:

Q: Compute аn+1 lim n-00 An for (-3)" an = 2n+1 * Enter your answer as a decimal number, not as a…

A:

Q: (a) Complete k (-1)* 4 k! (k +n+ 1)! 2k+n = -½(x) k31

A:

Q: Use a combinatorial argument to show that n 1(n 3 |

A: The LHS of the expression is nn-2. This is the number of ways selecting n-2 objects from n objects.…

Q: 16. Find the positive integer that maximizes the sum of the numbers and its reciprocals?

A: Take integer and add them with his reciprocal Diifferenciate and get

Q: In binomial if g(x) =0, then

A: Given:  gxnx=0                                        (1)

Q: For n≥2, let an= 5n/n2-2. Determine for which n, |an|<1.

A: Use the inequality on and find the inequality for n

Q: 4. Theoretically, what is the highest possible value for the slugging average? Could a player ever…

A: Given, the baseball example.     We have to find the highest value for slugging average?

Q: Using Wilson's Theorm, Fermat's Little Theorm and The Pollard Factorization Metod how could I solve…

A: We have to find the remainder when 7·8·9·15·16·17·23·24·25·43 divided by 11.

Q: 1 lim n4 n(n+1) 2 nー+ k=1

A: Given,           limn→+∞1n4∑k=1nk3

Q: k+1 In k + 2

A:

Q: 16. Kerys is trying to expand the binomial (2x + y)* using the () binomial theorem expression, >,…

A:

Q: Suppose that 3 =< f’(x) =< 5 for all the values of x . What are the minimum and maximum possible…

A: By the mean value theorem( applies because the f' is defiend for all x)f(9)=f(4)+f'(x*)*(9-4), where…

Q: 6. Using only Definition 4.1.: (a) For any real number k *(b) For any real number k 4n +1 (c) lim…

A:

Q: (-1)*k 42. k4 + 1 k=1

A:

Q: 3n – 5n is n→ o n° - 2n² +1 lim 3

A: It is given that, limn→∞3n3-5nn3-2n2+1.We have to evaluate it.

Q: Let k(x) f(2)g(x) h(x) .If f(x) = x + 2, g(x) = 2x + 4, and h(x) = -x² – x – 2, what is k' (–1)? Do…

A:

Q: If 6th term of a G.P is 9375 and its 4th term is 375.Find its 9th term

A: