etermine value of the smallest natural number N such that E1(-1)*- is within (0.001 of the value 2k +3 E(-1)* 2k +3

Q: where does the N come out of? at 2t=n*pi

A:

Q: 10. Give a combinatorial proof: For n ≥ 1 and k ≥ 1, (n)k = n · (n − 1)k-1.

A: To give: A combinatorial proof: For n≥1 and k≥1, k·nk=n·n-1k-1.

Q: 5(x+ 11) (x+11)(x+ 12) O 5 x**-11, x* -12 5 x+ 12 X* -11 O simplified form

A: = 5(x+11)/(x+11)(x+12)   Value of x other than x=-11. making (x+11) = c = 5c/c(x+12) =5/(x+12);…

Q: (n + )an-1(5) 6n(n + ) а, (1/3) -

A: In the given question we have to write infinite product expression of the given sequencegiven by…

Q: solve 5.3 (using k(pi-k)/2) and setting k =pi/2 or by your own methods if you have easier ones

A: It is known to us that

Q: where did you find 0.3679?  I can never find these numbers  e-1 = 0.3679  ? how did you find this…

A: e is known as euler numer , Standard value of e is :   e= 2.71828183

Q: Which of the following is an equivalent expression of -1? A (x- 1)* 8. (- 1) C. (- 1)°(x+ 1)? (- -…

A:

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Find the coefficient of the

A: Given,           (3-2x2)12

Q: Evaluate / 6 xе*dх 012 (-х — 1) е* +с O(-x – 1) e-* +c О36 (-х — 1) е* + с | О6 (-х — 1) е* + с

A:

Q: x + 6 Let n(x) = x + 12 and p(x) %3D a. Write the formula defining n o p. n(p(x)) = [ b. Write the…

A:

Q: 151.50 = 24 / 4 (6 + 8 ) + c / 2 ( 21 + 24)

A: The objective is to compute c.

Q: Comment on the statement “The decimal expansion of 3/2 ​is terminating'

A:

Q: Which is greater where n > 8?

A:

Q: (iii) Pi(-1) = (-1)"-1.n(n+ 1)

A:

Q: E(-1)n + 1(n + 8)x" n = 0

A:

Q: The value of the erf(-∞) * 0 1 O -1 O -0.5 O0 00 8.

A: To find value of erf(-infinitely), we have to draw the graph of erf(x):

Q: how to show the following coefficient is less than 1

A: Given information: An expression involving gamma function is given.

Q: 50. For precisely which positive integers n is U (2") cyclic?

A:

Q: Score: 07 078 answered Question 2 [G] = -3 5 93 [G] + [A] = -[ [A] = > -5 -2 5 -1 Enter an integer…

A:

Q: True or False. Briefly explain why.  The least nonnegative residue of −123 modulo 12 is 3.

A: We recall the definition.

Q: Select all the correct answers for the expression T(n) below. T(n) = () +2100 + 81logs n +n³ lg (7)…

A:

Q: lim 81x 0 xe + 1 dx is equal to Odoes not exist O 0 O 0.5

A: Given that

Q: 6 What is the smallest integer that makes the difference (3 X- 2greater than 1? Use estimation to…

A:

Q: n+2 3. Evaluate E (-1)

A:

Q: k(z - a)*-1 +0((k +1)(z - a)*) (2 - a)k + O((z - a)k+1)

A: =z-akkz-a-1+Ok+1z-ak1+Oz-a

Q: Write the answer using rational exponents. Ex: 95 would look like 9(5^(1/3)). Make sure to include…

A:

Q: MAT 132: Calculus with Analytic Geometry truction: 1. Answer Must be handwritten with step-by-step…

A: The  term of  =

Q: Is 0.101001000100001000001… a repeating decimal? Is it rational or irrational? Explain (hint if the…

A: Explained below

Q: True or False. Briefly explain why.  {−13, −6, −3, 1, 10} is a complete residue system modulo 5.

A:

Q: How much larger than 1/9 of 3 is 2/5 of 1 2/3

A: First, we need to find 19 of 3,then find 25 of 123, then find the difference between the two!

Q: n/27=14/21  what is n?

A: