Obtain the Lagrange interpolating polynomial using all the data points below: 1.0 1. 0.5 1.5 2.0 2.5 f(x) 0.8415 0.9093 | 0.1411 | -0.7568 -0.9589

Q: 3. Use the Hermite polynomial that agrees with the data xo = 1.2, x1 1.5, x2 1.8, f (xo) = 0.542, ƒ…

A: The value of table for x, f(x) and f′(x) x y=f(x) y'=f'(x) 1.2 0.542 -0.441 1.5 0.463 -0.467…

Q: Explain CHINESE REMAINDER THEOREM with example x = 2( mod 3) x = 3 (mod 5) x = 2(mod 7).

A: Step 1  The answer is given in the below step

Q: using python code The function y(x) represented by the data below has maximum at x =0.7692. Compute…

A: -> Neville's algorithm is used for polynomial interpolation. -> Indentation is important in…

Q: Mechanical engineers, as well as most other engineers, use thermodynamics extensively in their work.…

A: % Mechanical engineers, as well as most other engineers, use thermodynamics % extensively in their…

Q: ode in Python Given the following tabulated points Pick a few points to get a degree 3…

A: Required: Code in Python Given the following tabulated points Pick a few points to get a degree 3…

Q: Find the root of the function i fx) = x³ - x - 1 using secant method with Xo = 0 and X¡ =1 a. *…

A: 1). option(b) is correct.

Q: Given that y(x) =x* - x>+ 8x + 10 1:-Use polynomial form to find y and its derivative for x = =312,…

A: 4. 1. Code: y=[1,0,0,-1,8,10]…

Q: Given polynomials: P(x) = 4x3 + 5x2 -2x + 3 Q(x) = 2x3 -3x2 + x + 1 Calculate the product PQ(x) in…

A: Answer: I have given answer in handwritten format.

Q: Find the algebraic expression of the following given in postfix notation: 2 x *4-2/8 4- 2^4/+

A: Scanning from left to right the first operator we encounter is * So we multiply the two preceding…

Q: find the mean and standard deviation of up to 100 numbers. Suppose that the mean (average) of n…

A: C++ program to solve the given problem is below.

Q: Given that x and y are integers such that 0 < x < y < 9 and that the integer 77265x597y is divisible…

A: Data Given:- x and y are integers 0 &lt; x &lt; y &lt; 9 77265x597y is divisible by 12

Q: F(w,x,y,z)=wxyz+wxy' + wx'yz' +wx'y'z Simplify with the method Quine- McCluskey

A: F(w,x,y,z)=wxyz+wxy' + wx'yz' +wx'y'z  wxyz = 1111 = 15 wxy' it can be two cases wxy'z and wxy'z' ,…

Q: 6) z- 7x+ y = 2 , 2y+ x-z = 6 , 3z = 0 use the inverse method to find x,y,z

A: Given equations, -7x+y+z=2, x+2y-z=6, 3z=0   Formula that we will use to get solutions, X = A^−1 * B

Q: 6) z- 7x+ y = 2 , 2y + x-z = 6 , 3z 0 use the inverse method to find x,y,z

A: Provided solution for above given question using inverse method with detailed step by step…

Q: 6) z- 7x+ y = 2 , 2y + x-z 6 , 3z = 0 use the inverse method to find x,y,z

A: Here in this question we have given three linear equations and we have to find the solution for…

Q: 6) z- 7x+ y 2 , 2y + x-z= 6 , 3z 0 use the inverse method to find x,y,z

A: Use the inverse method for x,y and z

Q: Plot a graph for the following polynomials each with x=-100 to +100 with a change in x as 0.2 a)…

A: PROGRAM CODE: The function is: f(x) = x(x-2)2(x-1)(x+1). The function can be plotted using the…

Q: A function given by x – e –x = 0. Find the root between a = 0 and b = 1 using Bisection method.…

A: solving the function x-e-x , finding root between a=0 and b=1  . using bijection method

Q: Given the non-negative integers m and n (with m<n), create a list of triangular numbers between (and…

A: Solution :

Q: 6 * 6. enter the following polynomial in MATLAB p=- 2x + 3x* – x² + 4x Your answer 7. Find the roots…

A: In matlab Polynomials are represented as vectors of coefficients. 6. x=[-2,0,3,0,-1,4] 7. y=roots(x)…

Q: Find an approximate root of f(x)=x^3+x^2-1 ; [0, 1] correct upto 4 decimal Places, using Newton…

A:

Q: PLEASE USE PYTHON METHOD The function y(x) represented by the data below has a maximum at x =…

A: Neville’s method evaluates a polynomial that passes through a given set of x and y points for a…

Q: Code in Python. Using Newton's method with Briot-Ruffini, determine the smallest positive real root…

A: Given: Code in Python. Using Newton's method with Briot-Ruffini, determine the smallest positive…

Q: Code in Python. Using Newton's method with Briot-Ruffini, determine the smallest positive real…

A: the polynomial P(x) = x³ + 8x² − 4x − 2 = 0 with e = 0.01 python code is implemented below

Q: z-7x+ y= 2, 2y + x-z= 6, 3z = 0 use the inverse method te find x,y,z

A: Value of x,y and z after use inverse method

Q: If x = -0.8 , then [x] + x =

A: [x]= the largest integer that is less than or equal to x Here, x= -0.8 [x]=[-0.8](-0.8) = -1

Q: - Find the closed form for the following series: a) 1+2 +3 + 5 + ... + n b) 1+ x2 + x3 + + x" where…

A:

Q: Plot the graph of the given trigonometric function, f(t) = sin (t) - cos²(t) + 2*t*sin(t). %3D…

A: Algorithm :  Step 1 : store the values of t from 0 to 2 * pi with step size 0.01 in a vector named…

Q: Plot the graph of the given trigonometric function, f(t) = sin°(t) - cos²(t) + 2*t*sin(t). %3D…

A: Write a MATLAB program to plot the graph of the given trigonometric function, f(t) = sin3(t) -…

Q: Q1: For these Value Obtain U and V and evaluate W when Z= V5 – 2i Q2: If Z1= 4i-3 22= 3i Z1+Z2 Find…

A:

Q: what is the function used to determine the logarithm of x

A: logarithm is a mathematical function so it is present in the "math.h" library.

Q: By using De Morgan's theorems, the function F - (A + B) (C + D) (E + F) (G + H) can be simplified…

A:

Q: Tokyo 1275 845 880, 470 320 Hong Kong Bangkok 515 340 520 365 Beijing 225 Seoul A. Use Greedy…

A: Hamiltonian circuit:- The Hamiltonian circuit visits every vertex only once without any repetition…

Q: (b) Let x = 1e16 (a very large number). How big is the "gap" nextfloat(x)-x? (c) The "gap" at 1.0 is…

A: The nextfloat is the function used in the java's scanner package. The scanner is used to trim and…

Q: In the GF(28) for AES, the polynomial modulo is m(x)=x8+x4+x3+x+1.

A: Let’s consider the finite field GF(28) that is used in AES. this field is derived using…

Q: z- 7x+ y = 2 , 2y + x-z = 6 , 3z = 0 use the inverse method to find x,y,z

A:

Q: Find the integer m for which 1048576=2n.

A: Kindly Note: As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: z- 7x+ y = 2 , 2y + x-z 6 , 3z = 0 use the inverse method to find x,y,z 6)

A: x,y and z value after using inverse method

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A: Bisection Algorithm: The approximation of bisection algorithm has got after 14 iterations we find a…

Q: CONVERT THE GENERAL BRESENHAM ALGORITHM TO DRAW THIS LINE P1 (40,10) →P2 (10,30)

A: Code: #include&lt;iostream&gt;#include&lt;graphics.h&gt;using namespace std;void drawline(int x0,…

Q: 0. If Q is

A:

Q: Find the quotients and remainders for the following division problems modulo 2. Q. 10111112 ÷ 111012

A: Introduction of modulo 2 division: Modulo 2 division is the same as the binary division except…

Q: please help me find the time complexity for the following codes

A: Time complexity: We know that the term time complexity refers to the total time taken by the…

Q: Write aprogram to print y from the following equation us(if) y=2x+1 X>=0 y=x+5 x<0

A: Language is one of the most widely used programming language which has been used to create different…

Q: The essential prime implicants of the function below is/are: yz 00 01 11 10 00 1 1 1 01 11 1 10 1 1…

A: A group of one or more 1's which are adjacent and can be combined on a Karnaugh Map is called an…

Q: Using the following K-Map, give me the Boolean expression using xyZW: 00 01 11 10 00 1 0 1 1 1 1 10…

A: Given the K-Map , we have find out the Boolean Expression of variable XYZW.

Q: If 3x + 2 is odd, then x is odd.

A: Given Statement: If 3x + 2 is odd, then x is odd.

Q: d the sum for the following series S=4+10+16+22+...+N, then find the average of the above series.…

A: Required: Find the sum for the following series S=4+10+16+22+...+N, then find the average of the…

Q: a) Use a Karnaugh Map to minimize the following standard SOP 5-Variable Expression? X = A'B'C'D'E' +…

A: K-MAP: K-map is basically the method that is used for the purpose of minimizing the boolean…

Q: he matrix ((4,1),(3,2)) is given for the hill algorithm you have to decrypt the message…

A: The complete answer is given below .