Using the given data. Compute f"(1.8) at O(h²) using Richardson Extrapolation.

Q: nt population of a city is estimated to be 77,435 people. Assume the city population grows by about…

A: We have to  predicted  population  after 18 years from now.

Q: Q3-by using newton divide deference interpolation compute f(1.28) from S(1)=3. . f(1.2)=2.98007. S(…

A: The aim is to find f(1.28). Given that, f(1)=3, f(1.2)=2.98007, f(1.4)=3.92106, f(1.6)=2.82534,…

Q: Consider the initial value problem a. Form the complementary solution to the homogeneous equation.…

A:

Q: Evaluate the following F(5;4) (the incomplete gamma

A: F(5; 4): Formula: Fx;α=∫0x1γαyα-1e-ydy Consider, F5;4=∫051γ4y4-1e-ydy          =16∫05y3e-ydy…

Q: Given F (1.0) 35 f(0.9) = 2.4, f(1.0) = 2.3, f(1.1) = 2.9 can be estimated as : 67 3.5 70 9 then

A:

Q: by using newton divide deference interpolation compute f(1.28) from S( 1)=3. . f( 1.2)3D2.98007. , f…

A: The value of table for x and y x 1 1.2 1.4 1.6 1.8 2 y 3 2.98007 2.92106 2.82534 2.6967 2.54030…

Q: Find F(s). F(s)

A: We use the table of Laplace transform to answer the given question.

Q: Using the equation e2x/3 – x2 – 1 , determine f(2.3) utilzing Forward-difference,…

A: Note: Solution can only be provided by using one method since you have not mentioned one so the…

Q: Find the LU-decomposition of the 3 x 3 matrix 6 -9 A = 2 5 -3 -4 1 10 The triangular matrices L and…

A:

Q: Let f(x) = x + 9x and g(x) = 5-x. Find (x) and (2).

A: The given functions are: f(x)=x2+9x, g(x)=5-x

Q: 3. Prove that Q(0) = 0.5 sing the definition of error function.

A:

Q: Does the MVT apply to f(x) = - on the interval [1, 4]?

A:

Q: 3. Let h(x) = (f og)(x). Given f(x) = 3x2 +5 and g(x) = Vx – 3. a. Evaluate h(4). b. Determine fx).

A:

Q: For a given table 1 3 6. 10 f (x) 4 7 11 15 Using linear interpolation formula, find f (5).

A: The linear interpolation formula  is given by  y=y1+(x-x1)y2-y1x2-x1 where, x1,y1 and (x2,y2) be two…

Q: [Q1] The relation between the independent variable x and y obtained by performing experiment is…

A: Given: The relation between the independent variable; x 1 3 10 16 26 36 y 42 50 75 100 150 200…

Q: D) Identify the even function among the following. A) f(x) = 2|x| - x² %3D B) h (x) = 2x – x² %3D C)…

A:

Q: A bullet is fired upward with its velocity against time given in the table below: Time t in seconds…

A: The given problem is to find the value of velocity of time t=16 from the given data using Lagrange…

Q: Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) = 12 |x| over the interval…

A: fx=12-x As we know  ⇒x=-xit x<0xif x≥0

Q: The function f(1) = cSC Z satisfles the requirements of the Mean Value Theorem on 0, . Select one:…

A: Given,

Q: 1. Classify each of the following representations as a function or a non-function. (a) (b) (c) y 3 y…

A:

Q: Q2: Find the total energy of the signal: fcos*(«) -sts π (x) Sts. x(t) : 0.w. (-R2, 0) (x2,0)

A: We will integrate the function in the given range.

Q: Exercise 1.16. 1. Show that for any function f Ep(æ|9y)f(y) = f(3)

A:

Q: (15.2): Find In(x) – In(x² – 1) +2 In(z +3) 3

A: Find 13ln(x)-lnx2-1+2lnx+3. Logarithmic properties used: alogcb=logcba logca-logcb=logcab…

Q: Your last pdf for this week is f(2)=z³ for 2 < z ≤ 3. (a) Find the cdf of Z. You don't have to give…

A: f(z)=4/64z3 ; 2&lt;Z≤3

Q: Let f(r) = 2. 1 + Find f(1/2) 1. Find the domain of f ii.

A: Given data is: fx=11-21+11-x Calculate the value of f12 and the domain of the function.

Q: Consider the following data x -2 -1 0 1 2 3 y -8 -4 2 10 20 32 Find f(-1.5) and f(2.2) using…

A: Given the difference table; x f(x) ∆f(x) △2f(x) △3f(x) △4f(x) △5f(x) -2 -8               4…

Q: [Q1] The relation between the independent variable x and y obtained by performing experiment is…

A: We are given the table,                          . For (a), We need to plot the given data on a…

Q: Given the following data: x 2.5 3.5 5 6 7.5 10 y 13 11 8.5 8.2 7 6.2     Compute f(2.8) using…

A: The given table, x 2.5 3.5 5 6 7.5 10 y 13 11 8.5 8.2 7 6.2 We have to find the value of…

Q: Consider y=xsin(pi)x over [0,2] Verify the mean value that applies and find all values c satisfying…

A: Find values of c satiating the Mean Value Theorem

Q: Define f: N→ N by f(n) = 2". Find range(f).

A:

Q: (iv) p(39), where p is the Euler p-function.

A: Euler totient function and residue classes

Q: Use Runga-Kutta 4 to determine y(1.3) for f(r, y) = with y(1)%3D 1

A: Here we have to use Runga Kutta 4 method

Q: (B) For the following data in table: 50 618 x /(x) 100 724 150 805 Find f(160) by using: L First…

A: The question asked by you are three different questions, so according to the rule I solved the first…

Q: Q2. Given that f(x) = |6 – 2x|. Draw the graph of f (x) and hence evaluate f f(x)dx. [ Fig 1

A: Let's find.

Q: The function, f(x), in the graph below has f(1) = 1 and f'(1) = 2. Which of the following are the…

A: