Question 8 Given f(x)=x and g(x)=-+2, determine: a) (fog)(2) b) (gog)(-1) c) (gof)(x) =

Q: Errors may occur in performing numerical computation on the O Rounding errors

A: Power fluctuation and operator fatigue has nothing to do with numerical calculations

Q: Using Heun's Method, calculate y10 for the following: h = 0.1 y xy² = 0, y (0) = 1, The solution for…

A: The solution is given by using the Heun's method upto 4 decimal places as follows.

Q: For the following initial-value problem: ý = y-t²+1, 0≤t≤ 2, y(0) = 0.5, h = 0.125,----- is the…

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Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

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Q: The transpose of a square matrix is

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Q: 4. What is the z-transform (az)-1 (1-(az)-1)2 of the signal x(n)-na"u(n)? az-1 (1-(az)-1)2 (a) (b)…

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Q: Solve the following system using Gauss Jordan method? x + 3y + z = 10 x-2y-z = -6 2x + y + 2z = 10

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Q: Q3/ find the Fourier series for the following function. F (t) = C 0<t<2 2<t<4

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Q: Q8. Find, if possible, the sum of each of the following series. Give exact answers. 3.2k α) ΚΕ Σκ 1…

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Q: To get a better approximation of the area under a curve using Simpson's Rule, the value of "n" can…

A: Explanation of the answer is as follows

Q: QUESTION #20 CONTINUED of largioneque 19410120 b. Find a basis and the dimension of each eigenspace.…

A: We have to find a basis and the dimension of each eigenspace of the given matrix

Q: True error is defined as O )Present Approximation - Previous Approximation True Value - Approximate…

A: True error is defined as difference between the true value and the approximate value

Q: Given the Rational Function f(x) = Check all that apply. p(x) which of the following statements are…

A: I have given the answer in the next step. Hope you understand that

Q: D G B Consider the graph given above. Add an edge so the resulting graph has an Euler path (without…

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Q: To yield solution set of equations, system of equations used in form of © A+X = B+X OBX=A OAX=B O…

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Q: Secant Method is also called as? O2-point method O False3-point method O 4-point method O 5-point…

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Q: 9. The value of ¹₁ O True False [Tn (x)]² dx = 0, for each Chebyshev polynomial T₁(x), n > 0.

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Q: When using Adams-Bashforth method to solve the initial-value problem: ý= 1 + considered to be equal…

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Q: or the initial-value problem: ý = sint+et, 0≤t≤ 1, y(0) = 0, N = 2, the step size (h) is…

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Q: a. Find Taylor Expansion of the following Functions about xo =0 b. Find Taylor Expansion of the…

A: Sol:- Taylor expansion about x0 = 0 Taylor series of function fx at a is defined…

Q: alculate the first six iterates for the equation x = e. When xo 0.

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Q: If X-hyp(n, D, N) then, the second factorial moment of X is n(n-1)D(D-1) N(N-1) True False O O

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Q: Radio Waves KROC radio station is 4 miles west and 6 miles north of the center of Bigcity. KROC can…

A: We will use equation of circle to find equation of boundary  Equation of circle centered at (h,k)…

Q: X₁ X₂ X3 20 50/3 O 100/3 10/3 Consider the following LPP O 250/3 Min z = Then its optimal value is…

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Q: Show that in cylindrical coordinates r, 0, z defined by the relations x = r cos 0, y = r sin 8, z =…

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Q: 10. A small object is attached to the end of a string to form a simple pendulum. The period of its…

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Q: 8. Consider linear spline function L(x): Let f(x) = ln(x + 2), Given (0, 2), (-1, 4) and (1, 6).…

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Q: Construct a graph with vertices I, J, K, L, M, N that has an Euler circuit and the degree of L is 4.…

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Q: B: Find Laplace Transform of f(t)= cos3t By DEF.

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Q: 4 1) L-^ { 2x-3 5²-4x+8.

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Q: 4) L'{ + } હ ર (+)4

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Q: a. From the table below, find the interpolated value of f(2.2) to 3 decimal places using; i. ii. The…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. tan² (x)+x²e² = 2 dx Order Linear / Nonlinear (circle the correct answer, 2. 6².0².…

A: The order of the differential equation is the highest order derivative occurring in the equation.…

Q: Item 1. Use the long cut procedure of McLaurin series of expansion in determining the power series…

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Q: Find the inverse Laplace transform of F(s)=1/s4+(2s-6)/(s2+4)

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Q: A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east…

A: Use the following formulae, to obtain the solution. Pythagorean theorem states that in a right…

Q: The equivalent of - (P^-9) is:

A: The given statement is ¬p∧¬q ¬p∧¬q≡¬p∨¬¬q≡¬p∨q Therefore ¬p∧¬q≡¬p∨q

Q: Find solution of the equation x2 = 17 by the Newton's method.

A: We find the solution of x2=17 by Newton's method.

Q: find solutions accurate to within 10-5 for the following problems. 2+ sin x - x = 0 use [2,3]

A: To obtain the solution of the transcendental equation fx=0, use the Newton-Raphson method formula.…

Q: Suppose z = x + iy and f(z) = z - 1. Find w = u + iv such that f(w) = 1 + 3i (A) 3+2i (B) 3-2i (C)…

A: We have given that , fz = z - 1 , where , z = x + iy Here , w = u + iv Let , fw = 1 + 3i We need to…

Q: What is the chromatic index of each graph? P13 2 C12 C7 K5,11 K15 ← FI S

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Q: determine a cubic approximation centered on the origin of the result of the following double…

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Q: 3. Let W be the subspace of R3 [x] spanned by the polynomials 1+2x+3x²+4x³, 2+3x+4x²+x³, 3+4x + x² +…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Q3./ Solve the following simultaneous ODE, y₁ = -3 y₁+ y₂ y₂ = y₁ - 3y₂

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Q: Prove that there exists no rational number x such that x2 = p, where p is a prime number (A prime…

A: We need to prove that there exists no rational number x such that , x2 = p  ,  where p is prime…

Q: Calculate the first six iterates in the following iteration with xo = 1. Xn+1 0.3+ sin(x) -

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

A: Sol:- (1) tan2xy''+x2ey=2 Order = 2 (Since equation contains y'') Nonlinear

Q: Explain why the Laplace transform of = = ₁,t>0 t is not defined for any s, while the Laplace…

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Q: Using Midpoint Method, calculate y4 for the following: y' - xy² = 0, y (0) = 1, The solution for…

A: For a differential equation  dydx=fx,y yn+1= yn + h× fxn+h2 , yn+ h2 fxn,yn   where h is the step…

Q: Which method is/are said to be direct method Gauss Elimination Gauss Jordan LU Decomposition method…

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