Now for X- N(2,9) the p(-3< X – 2<3) is nearly O 0.28 0.68 O 0.88 0,98

Q: Describe the long run behavior of f(n) = nº – 5n' + 3nº + 4 As n → - o, f(n) ? v As n → 0, f(n) → 00

A: topic - end behavior of function

Q: f'(2) for (x- x)(x² +2)(x² +x- 1) S(x) = %3D x + 2 O 676/5 O 379/7 O 587/3 O 384/9 O 585/4 O 699/7

A:

Q: Let f(2) = In[="(= + 7)*(z² + 7)°] f'(x) =

A: Given : fx = lnx8x+72x2+76

Q: 2. f(x) = In 3r on [1,4 with n =5

A:

Q: Which of the following statements is TRUE? (a) The function f(n) = 4log (n³) grows faster than the…

A: Given that: (a)f(n)=4log2(n3) grows faster than the function…

Q: What is s' (x) when s(x) = In (5x³ + 2x? + 4x +6)? Select the correct answer below: O In (15a2 + 4.x…

A:

Q: evaluate nCx px qn-x  for n=5 x=2 p= 1/2

A: Given: n=5 , x=2 , p= 1/2 We need to find, nCx  px  qn- x We know that, nCx= n!/[(n-x)!(r)!] q= 1-p

Q: If n^2+6n+11 = x^2+y^2 for positive integer n, x and y prove [xy/2] is composite. Note: [t]…

A: Given :              n2+6n+11 = x2+y2              t ≤ t

Q: 14)- Consider the following formula f"(x,) = a-4fo+3f-1 _ 2hfm(C) 6h2 3 Find the optimal h.

A:

Q: 3 2 Suppose f(x) = 9x° + 7x? + 8. Which of the following are true? Select all that apply. OAs x → ∞,…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (d) For k satisfying -8 < k < k + 4 < 8, compute P(k < X < k + 4). (Round your answer to two decimal…

A:

Q: Compute P(X=7), and Identify N: P(X ≥ N) ≥ 0.025.

A: During the first hour in the office, 6 minutes are spent in average for phone calls. We note by X…

Q: 8. The forward-difference formula can be expressed as f'(xo) = [f(xo+h)-f(xo)]-f"(x0) f"(xo) +…

A: Label the given equation as equation (1). f'x0=1hfx0+h-fx0-h2f''x0-h26f'''x0+Oh3         ...1

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: Another means of rejecting Ho is if the p-value is greater than a. O less than a. O less than 0. O…

A: We have to find the another means of rejecting null hypothesis is the the p-value is ?.

Q: 4. Use the definition of "f(x) is 0(g(x))" to show that 2* + 17 is O(3*).

A:

Q: 63. Given n nonzero numbers o1,...,on, show that the minimum value of S(x1....,xn) = xfo7 +..+ x…

A:

Q: Show that for any 1 ≤k≤n. T (1) = n²(n²-1²)...(n² (k − 1)²) 1.3.5 (2k-1)

A:

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: 7) Use the definition to find k'(9) where k(x) = Vx, then decide if k is increasing or decreasing at…

A: We have to use Taylor series expansion to find the limit using limit definition.

Q: 3 If ƒ (x) = 2 + x, evaluate Σƒ (k+1). k=1

A: We can answer the question as below.

Q: 4cos20 + 2/3 = 0 on the interval[0, 3t]

A:

Q: Show that for any n E N, n(n + 1)(2n + 1) k=0

A: The solution is given as

Q: Find P( -2.64 < Z < 0.43): Using table E " 0.7733 O 0.3377 O 0.3773 0.7337

A: Here, we need to find out that the probability between two z-scores i.e.  P( -2.64 &lt; z &lt; 0.43…

Q: Suppose f"(x) = N,(h) + a,h + azh³ + azh5 + .. The value of N2(h) using Richardson's extrapolation…

A: The value of N2(h) using Richardson's extrapolation is: N2 (h)=2N1 (h/2)-N1 (h) with error of order…

Q: Find x for which det(A)=0 7-x -2 A = 1- x 0. 5- x The sum of the answers is....

A: See the detailed solution below.

Q: Find the value of K by determines. |1 2 3 0 1 2- |2 1 3 3 4 3 kl

A:

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: Suppose that X~ N(100, 20). For some valle x, we have that P(X ≤ x) = 0.7605. What must be the value…

A: given data x~N (100,20)here μ = 100σ=20p(X≤x)= 0.7605we have to find out the value of x for given…

Q: 5. For z=x2siny show that 332 332 = дудхду дугдх

A: Topic = Derivative

Q: Show that f (x) = 3x² - x - 1 is O(x²) with suitable C and k.

A:

Q: (5) Show that T(n)o(n) > n for all n E N. 11

A:

Q: at k ( k) = n(k-₁) fo 1) for in

A: To prove, knk=nn-1k-1

Q: et x be the number of red balls among 3 balls randomly selected from a bag containing 9 black ball…

A: Given that  x = The number of red balls among 3 balls randomly selected from bag. Number of black…

Q: ν4-x (h) N(x)=; In|x|–1

A:

Q: For #9 & 10 solve for all x in the interval [0,2x). Round to 3 decimal places only where necessary.…

A:

Q: find an integer n such that f(x)= 0 for some x between n and n+1. f(x) = x^3 - x + 3

A: Given:The function f(x) = x3−x+3.Known fact:Newton Rphson's method.It is an iterative process to…

Q: Let X~N(3,0²). Suppose that P(3<X<6)=0.4 · find P(X<0) ?

A: Given: X~N3, σ2 and P3&lt;X&lt;6=0.4.

Q: If you are asked to find L4 for f(x) = edz) + In(x) on the interval [2,10], what would the value of…

A: From the given problem:   fx=e3x2+lnxa,b⇒2,10   As we know that the expression for the step size is:…

Q: Can you please solve this question and show the steps

A: a. Finding the probability of getting 7:It is given that die is rolled one time.When a six sided die…

Q: (It v5)" (1 Vsy (b) Prove that f. for all integers n> 1.

A:

Q: The function f:N N is defined by f(0) = 7 f(n) = f(n – 1) + 10n – 6 for n > 1 What is f(n)? Of(n) =…

A:

Q: The expansion 1 + x + x² ... approximates (1 - x)1 if O x is not equal to 1 本 O absolute value of x…

A: The expansion 1+x+x2+.........approximtes 1-x-1

Q: 5. For non-negative integer n and r, where 1<rsn, show that (n-r+1)"C,1=n(""C,). r-1

A: Given n and r non negative integers with  1≤ r≤ n. We need to prove (n-r+1)nCr-1=n(n-1Cr-1)

Q: Find all values of x for which ∑ (n=0 to ∞) 1/(1+x)^n equals 4

A:

Q: Show that for any n E N, n(n + 1)(2n + 1) %3D k=0

A:

Q: Find (f 1)(a) for f(7)=0, f'(1)=-1, and a=0. -л -1 1/л -1/n

A: topic - derivative of inverse function

Q: Find the relative eror of the following cases. Also, detemine the number of significant digits in…

A:

Q: 1. Consider the conquer and divide relation f(n) = 2f(n/5) +4 with f(1) = 2. Considering only…

A: Theorem: If f is increasing function that satisfies the recurrence relation f(n)=afn/b+c, when n=bk…

Q: 5. Find the general solutions to the nonhomogencous, lincar difference cquations. (a) x,12 + X141 –…

A: