Use Euler-Maclaurin's formula to prove that E n² = "(n+ 1)(n +2) 6. %3D 1

Q: Greece has average precipitation of 652 mm per year. On a random week in Greece, what is the…

A: We  have to find E(x)..

Q: 1 Find the l0*h +ERM of Hhe given 3,16,12,24..

A: Dear, as per company guidelines we can answer only one question at a time, kindly post other…

Q: E (z + 5)" n=1

A: radius of convergence is range where series is convergent

Q: e value of e v2 is 3.844218759.

A: True

Q: Jordan has average precipitation of 111 mm per year. On a random week in Jordan, what is the…

A:

Q: solue the following D. E. using undetermind coefficient Method.

A:

Q: What is the largest positive constant K such that if 0 O A. e O B. 1 O C. e1 O D. e?

A:

Q: What happened to the absolute value of e^-|2t|?

A:

Q: c) Show that the series Em+2 diverges.

A:

Q: (f) In e 6.

A: The answer is found in step-2

Q: 67. Find a reduction formula for e- dx

A: Given that ∫xne-xdx find the reduction formula

Q: Find the exact value of n! and then approximate n! using Stirling’s Formula.    n = 12

A: Exact value: Since n!=n(n-1)(n-2)....3.2.1 Given that n=12 So…

Q: Answer the following questions by a proof or dis-proof. What is the big-O estimate for f(n) = 87 log…

A: To find- What is the big-O estimate for fn = 87log543n + 2n3log37n2 + 4n3n + 7 ?

Q: What function is represented by the power series E=o(-1)"x3n? n3D0 a. 1-x3 b. 1+x3 с. e-3x d. e3x…

A: The solution is given as

Q: (b) Use your answer to part (a) to approximate e-0.3.

A:

Q: For which (positive real) s does the series co nv er g

A:

Q: C. The rocket is not to be re-used again if the total number of maintenance visits exceed 50, then…

A:

Q: Quiz Find [E(x²-x)| from the following table: 2 0.2 3. 0.3 4 5 0.1 P(x) 0.1 0.1 0.2

A: Given that x 0 1 2 3 4 5 P(x) 0.1 0.1 0.2 0.3 0.2 0.1

Q: (b) Since the solution is unique, the resulting formula must agree with the answer to Exercise 9.…

A:

Q: n (e) in E(-1)" = 1 =D1 r=0

A: In this question, we use the advanced algebra concept with the binomial coefficient property.

Q: O we N. P.M. to estimate the root of -X for on initial guess of Xo

A:

Q: According to a report from the United States Environmental Protection Agency, burning one gallon of…

A: Test hypotheses: The hypotheses are given below: Null hypothesis: H0 : μ = 8.9 That is, the…

Q: A small metal bar, whose initial temperature was 15° C, is dropped into a large container of bowling…

A: Given Initial temperature=15°C temperature increase to=22°C in 1 second.

Q: -ST In 0.2 %D 1-8

A: To solve the equation for δ, first we remove square root by squaring both sides and then get an…

Q: Find the value of k that makes the antidifferentiation formula true. |(1- 10x) 1 dx=k In |1– 10x| +…

A: According to question given that ∫1-10x-1 dx=k ln1-10x+C

Q: (b) Guess the value of x^e-X dx when n is an arbitrary positive integer.

A: ∫xne-xdxlet u = xn+1→dudx = (n+1)xndx = 1(n+1)xndu ; x = u1n+1∫xne-xdx = 1n+1∫e-u1n+1du⇒∫e-u1n+1=…

Q: 9. Approximate both solutions of e* 5x to three decimal places

A: Given, The two curves y = 5x   and   y = ex   We have to find the solution of  ex = 5x  graphically.…

Q: :find E10 (-1)(n-1) Zn=1 (n+1)2 %3D1

A:

Q: 19. Quotations of Index Numbers of security prices of a certain joint stock tompany are given below…

A:

Q: g) Finally, we can manipulate the above formula to solve for î. Show that k = (AT A)-'A™b.

A: Given information :  ATA is invertible.

Q: A scientist investigating a new type of bacteria has created the following model for the population…

A:

Q: Solve the following formula for t. A=M+Mrt t=

A:

Q: e an The output is 3 more than th

A: Here The out put is three more than the input;  let input =x and output =y

Q: Find the exact value of n! and then approximate n! using Stirling’s Formula.   n = 15

A: Given n=15

Q: Let I be ar. V. has a Binomial dist. B(n,@) with the Pid.f. fex; G)o-0^,X:o,n Show that fex;)…

A: Given that X is a random variable which has binomial distribution Bn,θ with p.d.f is given by:…

Q: 5. A dish of 4000 cells is to grow at a rate of 11.76 % every 4 hours. How many cells will be in the…

A: y = a*bx

Q: For what values of x does the series E(Vn +1- Vn)(x – 3)" n=1 a) absolutely? b) conditionally?

A: Here, an = (√(n+1)-√n). Now,

Q: A small metal bar, whose initial temperature was 15° C, is dropped into a large container of bowling…

A: We know that, the standard form of Newton's law of cooling: T-T∞=T0-T∞e-kt Where; T∞ is the ambient…

Q: Calculate the residue of e.e5=0

A:

Q: Find if y = [In(e* + 1) + ešin #]³. Do not simplify.

A:

Q: 1) Find the value of e0.75 using first-through fifth-order approximation.

A: The Taylor's series expansion of a function f(x) about a point x=a  is given by;…

Q: 2と e こeo437 RK = k(-n.65)

A: To solve this problem, first we should bring all the terms with k to one side of the equation and…

Q: Find the sum of E n(n + 1)x" = for < x </

A:

Q: For what values of x does the series E-1 n=1 x21+3 12² converge?

A:

Q: Using n= 6 approximate the value of +1dx using Simpson's rule, and Display the answer to 4- digits.

A: Given that  The integral is  To find the value of integral by using simpsons rule

Q: For this problem, involving a weighted die. assume that all the odd numbers are equally likely to…

A:

Q: B. For the Pearson coefficient r, find sum((L - X) * (L2 - Y)/(24 * S * T) | and store this as R

A: Given, Age(X) BMI(Y) 25 30.5 42 34.3 26 23.1 42 34.7 58 39.2 32 30 24 37.6 21…

Q: ou have been assigned to determine whether more people prefer Coke or Pepsi. Assume that roughly…

A: First we find the critical value of z at 5% level Using Excel function NORMSINV(0.95+(0.05/2)) =…

Q: Develop a formula for D(-

A: To find: Dx1x

Q: show that for positive epsilon, |x-4| |3x-12|<e

A: a⇔b implies if a holds then also b holds and vice versa.