Suppose C and D are two linear codes onFq. Define C + D = {c+d: c E C, d E D} Show that C + D is a linear code and(C+ D)¹ = C²nD¹.

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: 3. Given the polynomials p1 = t3 – 2t2 + 1, p2 = t2 – 4, p3 = t3 + 2t, p4 = 5t. Does this set of…

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Q: 1 t² √9t² - 1 dt

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Q: Find the greatest common divisor (GCD) and the least common multiple (LCM) of 1575 and 66. Hence…

A: Given number's 1575 & 66  Division algorithm: If m and n are integers and n is positive there…

Q: A thin square metal plate has a uniform temperature of 80°C on two opposite edges, a temperature of…

A: %% 6 clear clc A=[8 1 6;3 5 7;4 9 2]; b=[7.5;4;12]; x=A\b   %x = % % 1.2931 % 0.8972 % -0.6236   %%…

Q: iready Classes O Zooniverse Algebra Calculator... ssade Zachary - GU5L5 Exploration le Edit View…

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Q: 8. Which expression is the simplest form of V48 – 4V6

A: Simplest form: - When an expression is easiest to employ, it is in its simplest form. Given: - The…

Q: e down a polynomial of degree exactly 4 that interpolates the four points: (-1,-5 1), (2, 1), (3,…

A: We have to find the polynomial equation from given points.

Q: A=[[3,2],[7,5]],B=[[2,6],[3,9]],AB=[[a,b],[c,d]] Determine the values of the entries in the product…

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Q: 8. (S.15). Write P20 r2+2r-1 as a linear combination of the polynomials P21 r-r- 2, P22 2r2-r+3, P23…

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Let p, = 2t – 1 and p2 = t3 +2. Write three polynomials that are in span{p1, P2}-

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Q: Find A x Bx C where A = {4,6},B={14,18} , C = {0}. O (4,14,0), (4, 18,0), (6, 14, 0), (6, 18, 0) O…

A: given A={4,6}B={14,18}C={0}

Q: Find A x B x C where A = {2, 5}., B = {13, 17}, C = {0} . O (2,13,0), (2, 17,0), (5, 13, 0), (5, 17,…

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Q: Q4. Write a MATLAB code to plot the following x, y, and z in four different 3D plot types (bar…

A: For the given question answer is In matlab to plot 3d chart following methods are used bar3() to…

Q: Find the meteix A of the Lineak teansfoRmati on foom IRto IR . 2. given by x2

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Q: V16-x² Graph and evaluate Szz+y2) V16 – r²drdzd0 -

A: As integral given in cylindrical form ( dz dr dθ ) so we will convert limits also in cylindrical co…

Q: Expand (x + y) 8.

A: Given: The expression x+y8.

Q: Find the set (A∪B)∩C if A={0},B={1,2} and C={−1,0,1,2}

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Q: 5V2 + 6/64

A: We need to find the solution of 525+6645

Q: Use the substitution method to evaluate V1-22dx

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Q: Find the polynomials connecting the points (0,1), (1,3), and (2,13) ​​by quadratic interpolation.

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Q: a (x + 4y) = ax + 4ay Select one: O True O False

A: Given here a function and asked to find whether it is true or false

Q: 1 х°— х5 +2х? — 3 dx -1

A: topic - definite integral note : As per bartleby guidelines, we are supposed to answer only first…

Q: Construct the highest degree Lagrange Interpolation Polynomial. Xi yi 1 3 -1 -2 3 100

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Q: The set of polynomials {1, x² + 3x“, 2x² – 7x4} is a linearly independent set in P4.

A: NOTE: Due to time limit answer of 1 is given here, for other please ask in a different question.…

Q: If web₁x-b₂y-b3z, w= where b₁,b2, b3 are constants and b² + b² + b = 1. Show that 8² w 8² w 8² w əx²…

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Q: 6. Which expression is the simplest form of V12+ V48

A: Solution

Q: 2. Write a computer code that interpolates the function f(x) = 1+2 at the points -5, -4, -3, -2, -1,…

A: Here is the code:import numpy as np import matplotlib.pyplot as plt # Define the function def f(x):…

Q: Given w= (-4, 12), s=(-6, -2), and r=(4, 11), %3D find 6r-(w+s). 6r-(w+s) =(| , O)

A: This is related to vector addition sub, and mul

Q: 1. Determine whether the set S = {2x² – 14x + 34, 3x – 4, x² + 5x + 1} is linearly independent or…

A: Here first we check the set s is linearly dependent or not.

Q: Find a and b if a + (5 – 3b) i = ai + 2 (b + 5)

A: See the attachment.

Q: Express as a polynomial. (2u +3)(u - 4) ( 4u+u ) 2

A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

Q: The set of polynomials {3t²-3t+5, mt+6t²+10} is a linearly dependent set in P, if 2 m=6 Select one:…

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Q: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

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Q: Find the interpolating polynomial of degree at most 2 that passes through the points (-2, 14), (1,…

A: Using Lagrange interpolating polynomial.

Q: Z4×Z6 has an element of order 24. true or false ?

A:

Q: Q2/sit a second order Polynominal to the data X 2 3 3 9. 1 2 4 y 4 7 -1 6. 2 4 3

A: we have to find the second order polynomial from the given data.