f15. Find the degree of precision of the quadrature formula f(x) dx = f + f 3. 3 16

Q: 1. Show that the scalar multiple of a diagonal matrix is also a diagonal matrix.

A: Since multiple questions are asked we are answering the first question. 

Q: -) Are these pairs of vectors orthonormal or only orthogonal or only linearly independer [:]; » [] 1...

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Q: 5. Prove the following: (a) P(T) is the identity matrix if and only if a = idſn] - (b) P(T2 0 T1) = ...

A: Permutations: A permutation π of m elements is the function  π:1,2,...,m→1,2,...,m given by the 2×m ...

Q: 5. Solve (if possible) the following system of equations using the method of Gauss-Jordan eliminatio...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: 10. Determine three linearly independent solutions to the equation y" + 2y" – 3y = 0 of the form y(x...

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Q: Develop the third Taylor polynomial P3(x) for the function f(x) = (x+ 1)0.5 about x = 0. If h > 0, t...

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 8 A = 16 30

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Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x, (...

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Q: e value of JA121 - A

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Q: The sports association in charge of a tennis event has to set ticket prices. Its fixed costs are $40...

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Q: Do the following sets of vectors span R? Select an Answer 1. 3 6 -12 30 12 -30 3 -5 14 Select an Ans...

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Q: Let A, B, and C be invertible matrices. Then (4A-1B"C²)-1 is equal to c--(B")-1A equal to the above ...

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Q: For the demand function q= D(x) = 700 find the following. a) The elasticity b) The elasticity at x= ...

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Q: All of the formulas in Table 8-1 in the textbook have a truncation error of O(h), O(h2), or O(h4). T...

A: To find- Try to derive a four-point, non-centered, finite difference formula for the first derivativ...

Q: 41. Find the value of A if the vectors i+ Aj+3k and-2i+j-4k arc parallel. uectors ii + 3k and 2i -

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Q: Prove that (- 1)u = - u. [Hint: Show that u + (- 1)u = 0. Use the following axioms and results, wher...

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Q: 5. Let A = {n E Z; n is odd} and B = {n E Z; 3n² +7 is even}. Prove that A = B.

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Q: Question 6 The following function is homogenous of degree what? Vx++x²+y? x+y other/not possible 2 4...

A: For the detailed solution of the problem follow the next step.

Q: Draw a sketch of a position-time graph, corresponding velocity-time graph, and corresponding acceler...

A: (i) First draw a position-time graph such that vt≠0 at every point.

Q: 1. (Divisibility) Let a, b e Z with a # 0. We say that a divides b if there is some integer k such t...

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Q: Find the transition Matrix from B {(3, 2, 1), (1, 1, 2), (1,2, 0)} to B' = {(1,1,–1), (0, 1, 2), (–1...

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Q: (b) The function f : R Ris defined as follows: -r, if r1 f(r) = {r. Plot the function, and say wheth...

A: Given f:Z →Za ) f(x) = n+1, if n is evenn-3, if n is oddTo check one-one or injective Case 1: x and ...

Q: Which of the following matrices is in Row Echelon Form? * [1 4 3 0 -5 2 0 1 None of the mentioned Th...

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Q: at e t

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Q: 4. Evaluate. H. following.integrals.by.changing.the.arder.of integrahan. o... .4 .a..... 2 4005(x?) ...

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Q: Suppose we randomly select a subset of positive integers. How large must the subset be, if we want t...

A: According to the given question, if any positive integer n belongs to the required subset then it mu...

Q: Let A, B, and C be invertible matrices. Then (4C B"A-1)-1 is equal to ACB")-C-2 None f the mentioned...

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Q: x +x-5 Find lim 1-2x -x

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Q: Evaluate the unoriented line integral +y² + z²) ds along the parametric curve a : [0, 1] → R³ with a...

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Q: A. Integrating factors found by inspection 1. y(x² + y² – 1)dx + x(x² + y² + 1)dy = 0 when y(1) = 0 ...

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Q: Let p : R → C be the map defined by p(x, y) = z, where z =x+ iy, Let f: C- c be the function f(z) = ...

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Q: Question 7 The following function is homogenous of degree what? f (x, y, z) = x²zy + z² Vx²y² other/...

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Q: 2. Suppose x e Z. Then x is odd if and only if 3x +6 is odd.

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Q: If f(x) = log, (2x – 7) and g(1) = log, 3, find a value for x that satisfies f(x)= g(x). %3D

A: f(x) = g(x)  => log4 (2x - 7) = log4 3 => 2x - 7 = 3

Q: Differentiate the two most common methods use for depreciation.

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Q: 10. Find the work done by the force F=vx +2y y - 7 for a particle that moves between points (-1,0,1)...

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Q: Use polar coordinates to find the limit. [If (r, 0) are polar coordinates of the point (x, y) with r...

A: We have ,  f(x , y) = 4e-x2-y2 - 4x2 + y2 By using polar coordinates , plug x = rcosθ  , y = rsinθ T...

Q: Question 1. Consider the second order partial differential equation c2 (1) for an unknown real-value...

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Q: Q.2: Find a solution for the following simultaneous equat Gauss- Elimination method. 2x + 5y = 2 -4x...

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Q: Let E be the solid region bounded by the upper half-sphere x² + y? + z2 = 4 and the plane z = 0. Use...

A: Flux of a vector field F→ along surface S =∫∫SF→.dS Divergence theorem  ∫∫SF→.dS→=∫∫∫E divF→dV Where...

Q: Part A Which number in the equation indicates the growth rate? O 300 e O 0.75 O time Part B Calculat...

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Q: ich of the following subsets of IR3X3 are subspaces of R3x32 A. The 3 x 3 matrices of rank 2 B. The ...

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Q: Use Green's theorem to evaluate the line integral I of the one-form W = + æ sin? (y)) dæ + (x² cos(y...

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Q: 2. Let the rref of a matrix A be, (1 0 2 0 -2) 0 1 -5 0 -3 00 0 1 6 Determine A if the first, second...

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Q: Find all constrained relative extrema of f(x, y, z) = (x − 1)^2 + (y − 1)^2 + z^2 subjected the cons...

A: To determine the extremum values of the function f(x,y,z), subject to the the constraint g(x,y,z)=0,...

Q: 8. 火 (1-ぺ) く

A: We know that: βm, n=∫0∞xm-11+xm+n and βm, n=ΓmΓmΓm+n, where βx, y is the Beta function and Γx is the...

Q: 2. Use the Newton-Raphson iteration method to estimate the root of the following function employing ...

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Q: Let A and B be vectors in R" and let c be a real number. Then (1) ||A|| 2 0, and || A|| = 0 if and o...

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Q: F22) Determine one of the roots of f(x)=x' +1 · using the Newton Raphson method and an initial guess...

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to calculate the root of the equation: f...

Q: To every linear transformation T from R² to R², there is an associated 2 x 2 matrix. Match the follo...

A: Given that T : ℝ2 → ℝ2 is a linear transformation. For each cases we will find the associated matrix...