Multiple Choice 1/1 point (graded) (SKN) Find the 25 th derivative of f(x) = COSX. O cosx sinx O - cosx
Q: What is the inverse of (show the steps) a) 20 mod 49 b) 7 mod 26
A: Multipart : We have , 20 mod 49 We need to find Inverse. We know that , if aa¯ ≡ 1 mod m then a¯ is...
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A: we have given the two triangles suppose the given triangles are ABC and PQR we have to find the re...
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Q: Prove that every group of order 675 has a normal Sylow 5-subgroup.
A: Theorem: If number of Sylow p-subgroup of a group G is unique, then that subgroup is normal. Let G b...
Q: Q.2: Find a solution for the following simultaneous equat Gauss- Elimination method. 2x + 5y = 2 -4x...
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Q: 5. Let A = {n E Z; n is odd} and B = {n € Z; 3n² +7 is even}. Prove that A = B.
A: 5.
Q: 2. Let char F = 0 and f(x) E F[x] be a monic polynomial having positive degree. If d(x) = gcd(f(x), ...
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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: 1+1=?
A: 1+1 = 2
Q: Use Horner's method to evaluat P(x) = 2x – 3z? +3x -4 at xo = 2
A: Horner's method (also known as Nested scheme) uses synthetic division to evaluate the function: y=f(...
Q: Evaluate the integral S (* In ti+ 3t sin (t*) j+ k) dt. x(*+1)
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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: 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 1. Let G is a finite group and ø : G → G' be a surjective homomorphism (that is, ø is a hom...
A: Multiple : Let G be finite group. Consider the map , ϕ : G → G' Here , ϕ is a homomorphism and ϕ ...
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Q: Q1: Solve the following linear programming problem graphically Max z = 4x, + 5x, Subject to 3x1 + x2...
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Q: Suppose that the Cumulative distribution function (CDF) of the random variable X with parameter e > ...
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Q: Solve, 3 5 2 1 8 -8 7 4 1 - 5 0 6 3 4 det
A: Given matrix is A = 43520189-8741-5063
Q: 5. Let A = {n E Z; n is odd} and B = {n E Z; 3n² + 7 is even}. Prove that A = B. %3D
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Q: Four candidates are running for mayor of Enterprise: • Cooper (C), • Vickers (V), • Brooks (B), • Sm...
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Q: Which properties hold on the rational numbers that did not hold on the set of whole numbers? O commu...
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Q: Use appropriate Lagrange interpolating polynomial to approximate f(8.2) , if f(8.3) = 17.56,f(8.1) =...
A: The value of the table for x and y: x 8.3 8.1 8.6 y 17.56 16.94 18.51 We will approximate th...
Q: Give all the elements of Ug and write them in rectangular form. Draw the regular octagon in the comp...
A: Note: Usually U8denotes {1,3,5,7} with multiplication operation but as per your notations it seems i...
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Q: Use the following matrices to compute the indicated expression if it is defined. 1. (С"В)A" 3 1 4 A ...
A: 1. (CTB)AT = 142315T4-10230-1211T = 1341254-1023-11021 = 4516-2883-11021 ...
Q: C. Compute the determinant by cofactor expansion. Pick the easiest row or column to use. 1 0 2 1 0 0...
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Q: 3.1. Prove that the square of a rational number is rational, using direct proof.
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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...
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Q: Using Newton-Raphson method, show that VN is given by Pn+1 N Pn + "dL){ =
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Q: enclosed by area find Ix, Ig and Io for the Y= 1+ CoSO
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Q: 5. Find the solution of the differential equation y"(t) - 3y'(t) + 2y(t) = 4 y(0) =y'(0) = O using L...
A: Given differential equation is y''(t) - 3y'(t) + 2y(t) = 4 with y(0) = y'(0) = 0
Q: (b)(i) Use Mathematical Induction to prove that for all positive integers n 21 1 1. 1 一 -十 +... 1x3 ...
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Q: 1. (C"B)A" 3 A = -1 B = -1 4 C = 1 2. tr(4ET – D) 1 1 1 2 6. 1 3 D = -1 1 E = -1 1 3 2 4 4. 3
A: To evaluate the given matrices.
Q: 5. Let A = {n E Z; n is odd} and B = {n € Z; 3n² + 7 is even}. Prove that A = B.
A: Given that A=n∈ℤ ; n is odd and B=n∈ℤ; 3n2+7 is even
Q: Font Paragraph Styles Edit 13.14. IS 9.1 14 1 17. 18 Are the following sets of vectors (in the three...
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Q: Given the system of equations, use Gauss elimin-
A: Given, -3x2+7x3=2 x1+2x2-x3=3 5x1-2x2=2
Q: Construct the dual
A: Given problem is max z = -x1 +x2s.t. 2x1 +2x2 ≤ 10 x1 + x2 ≥ -2 x1...
Q: sin(r. r dr dy. Compute O y/3
A: To evaluate∫01∫y131sin(πx2)x2 dx dyx= y13y = x3
Q: Which of the following statements is/are true regarding the matrix A? -51 0 2 3 A = | 1 -4 -9 7 A) T...
A: We have to find the correct statements for the given matrix A. For this, we have to find the rank of...
Q: 4. Find the solution of the following set of simultaneous equations by ' conditions y(0) = x(0) = 0 ...
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Q: Let F(t) = (4 – t2,4, t² – 4) and g(t) = 2 – t. Find (F • g)(1). %3D -
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Q: r+ cimo - coso)drt r Cino + co-B ナ
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- What happens in Newton’s Method if your initial guess happens to be a local min or max of f ?13.Find a sinusoidal function with a maximum value of 9 that occurs at x=4 , and a minimum value of -1 that occurs at x=11.find a particular solution yp of the given equation. primes denote derivatives with respect to x. y"-4y= coshx
- 3) Find the Frenet (TNB) frame for the function at the point (2, 5?, 0). Hint: once you find ? and ?, you can plug in ? before finding ? since it doesn’t involve taking a derivative! ?(?) = 〈−2 cos(3?) , 5?, 2 sin(3?)〉Suppose f is differential equation on (-inf, +inf), f(3)=12 and f'(3)=-2 use linear approximation to estimate f(3.3).Use variation of parameters to find the general solution of the ODE.
- (a) Write a specifific example of a third order, linear, nonhomogeneous, autonomous ordinary difffferential equation, such that every derivative that could appear, does appear. (b) Turn your difffferential equation from part (a) into an initial value problem (IVP) by assigning appropriate initial conditions.A mass m moves along the x-axis subject to an attractive force given by 19mx/2 and a retarding force given by , where x is its distance from the origin and is a constant. A driving force given by , where A is a constant, is applied to the particle along the x-axis. Write down the equation of motion. What value of results in steady-state oscillations about the origin with maximum amplitude? What is the maximum amplitude? what is the Q value?Solve Cauchy Euler DE 4x^2y"-4xy'+3y=sin ln(-x), x less than 0
- A ball is thrown upward from the top of a 200-foot tall building with a velocity of 40 feet per second. Take the positive direction upward and the origin of the coordinate system at ground level. What is the initial value problem for the position, x(t), of the ball at time t?In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from y = 0.98x2.1for one year to y = 0.32x2 + 0.68x for the next year. Find the Gini coefficient of income for both years. (Round your answers to three decimal places.) after beforeAssuming an initial bracket of (-0.5, 0), what is the approximate value of the root of f(x) = 3x + cos2x after two iterations of the false position method? Initial approximation should be counted as one iteration.