O Find the first four term of the Maclaurin series of the function f(x) = log((1+ x)), then give an estimation for the value of log 2 using the previous part of the series!

Q: The time (in minutes) between arrivals of customers to a post office is to be modelled by the…

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Q: 6. Determine all fun et ions f analytic in |z| < 1 and satisfying k+ k2 1+k2 k = 2,3, 4, ...

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Q: 8. (a) Let I= f(x) dx where f(x) = 7x + 2 – V7x + 2. Use Simpson's rule with four strips to estimate…

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Q: Show first that (n – 1)!2 (2n)! 3(2) = 3 2 n=1 To evaluate the value of the series on the right-hand…

A: We have to show :      ζ2=3∑n=1∞n-1!22n! using the Taylor series     arcsin2x=∑n=1∞22n-1n-1!22n!x2n…

Q: Consider a taxi station where taxis and customers arrive in accordance with Poisson processes with…

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Q: This question is about the function f(e) = (0 – 3) cos(0). (a) Explain why the graph of f lies on or…

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Q: Prefinals Tesk #2 Find the in ver se L apla ie FO) = (S+37* (s-7)

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Q: (a) Which of the following matrices are orthogonal matrices? Explain your answer. 1 0 0 1 1 1 2 3 0…

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Q: Solve for the laplace transform using the formula. 9. F(t) = e-2t-

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Q: The undamped free vibration of system can be described by the following ODE: a?u(t) + 02и(t) — 0,…

A: Note : As per our policy, we are allowed to answer only first part of question kindly post remaining…

Q: 3. For the following permutations, find the number of inversions: Show your solution. a. 467918352…

A: Given some permutations, to find the number of inversions.

Q: 4.) Verify the Divergence Theorem where F(x, y, z)=(x',xz,3z) given by x' + y +z² <4. and E is the…

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Q: Find the general cowtion of the die. y9) + ya) - 24 =-e (9+67x+17 x²) + (861nax - o cosex) „(2).…

A: The given differential equation is , y(3)+y(2)-2y = -e3x(9+67x+17x2) +…

Q: (a) The P -value of a test of a null hypothesis is O A. the probability the null hypothesis is…

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Q: -t sin 4t -t sin 4t

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Q: Find the centre of mass of a uniform density equilateral trianqular sheet of side L.

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Q: NIIVISIDIE D 4. Prove that v3 is not rational. 5 Provo

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Q: Q4) Solve the boundary value problem y 3y' + 2y 0 with y'(1) = 1 , y(3) = 2e - e? h = 0.5

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Q: Find the period of small oscillations of a compound pendulum (see figure below), and the reaction at…

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Q: TRUE OR FALSE 1. If the statement "for some x, P(x)" is false, then the statement "for every x,…

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Q: a) RDL Corporation has one small plant located on the outskirts of Manila. Its production is limited…

A: First, we have to set up the linear programming model. Then, we can proceed further.

Q: Find all the Laurent series representations of the function f(z) = 1/(z − 3)z centered at 0.

A: We have to solve given problems:

Q: Find a harmonic conjugate of the function u(x, y) = arctan(x/y)− 6

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Q: For the normal distribution shown below, what area is contained between -2 and 1? -3 -2 -1 3 T2

A: Normal distribution is the most common continuous probability distribution. In a normal distribution…

Q: (31) Use Newton's Method to make the second approximation x2 to the solution of 2e" = ex. Take x1 =…

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Q: Calculate the formal asymptotic expansion of the initial value problem x' = -ɛx +1, x(0) = 0. up to…

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Q: 3. When origin is shifted to (3,4) by translation of axes, find the transformed equation of 2x² +…

A: We have to solve given problems:

Q: Given:  U = { 2, 5, 8, 11, 14 }             A = { 2, 5, 8, 11 }              B = { 2, 8, 11, 14 }…

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Q: Let Sbe the set of all (nonnegative) 4-digit integer. How many integers from start with 1 and end…

A: let S be the set of all 4-digit integer. how many integers from start 1 and end with 9

Q: 1. If a rock is thrown vertically upward from the surface of an unidentified planet. Its height s…

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Q: TRUE OR FALSE 16. The exclusive disjunction of -1 <1 and – 1+1 = 0 is true. 17. A conditional…

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Q: Q5) Solve the equation with y (0,1) = y (1,1) = 0 y (x,0) = sin x ! = 0,0 sxSI 8. ду (х .0) and…

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Q: 4. Let D = y²z°ãx + 2xyz³ ày + 3xy?z² đz pC/m² in free space. a. Find the total electric flux…

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Q: 4s + 12 s2 + 8s + 10

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: Theorem 2. Let G, and G, be groups, then @ Gx G,= G, × G, (6) If H = {(a, e,)| a e G} and H, = {(e,…

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: We are given the function  h(x, y) = x3-3x+3xy2 we have to find the relative maximum and minimum…

Q: Problem 23. Answer using Cauchy's Theorem. Given that C is a simple closed path, evaluate each of…

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Q: (a) Set up a (sum of) definite integral(s) with respect to x that is equal to the area of R. (b) Set…

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Q: 1. Solve the linear system using Jacobi and Gauss-Seidel Method 2x – y = 2 3y + z = -2 - -x + y – 3z…

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Q: Suppose n and m are integers. Prove by contrapositive: If (n + m) is an even integer and (nm) is an…

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Q: 4s+2 F(s) s+6s+34

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Q: Solve the DE: dy + 2xy = 2x³y3. dx

A: The given problem is to solve the given differential equation. The given differential equation is of…

Q: (a) Sketch the complex plane (i) the solution to |w − j2| = 2 and (ii) the solution to |w∗ − j2| =…

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Q: Hiws slove du 4 dt %3D dx2 h=I u(6,t) = L (8,t)=0 u(x,a) =0 =4X- ()X

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Q: Q4) Solve the boundary value problem y -- 3y' + 2y = 0 with y'(1) = 1, y(3) = 2e* - e? h = 0.5

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Q: QUESTION 1 (a) Determine the Inverse Laplace transform of the following expressions: 1 (s-4)' (b)…

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Q: Create an augmented matrix for the system. Then, solve the system using the Gauss Jordan elimination…

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Q: What is the intercept for observations with X2 equal to 0? a. 2.121 b. 0.055 c. 1.343 d. -0.723

A: The intercept for observations with X2 equal to 0 is determined as shown below.

Q: H Salve b Pinide diffrence methat Itx2 てメ+\ yot=t25,y4)=095

A: We can solve this using finite difference method

Q: Express each of the following in the form a + bi. cosh(1 – i2)

A: Solution