The Z-transform of the following function f[k] = 2.2k + (-5)* - 3³ (-4)* so the constants A and B are......... Z(A+BZ²) (Z-2)(Z+4)(Z+5)

Q: Verify whether the function g(x) = 1- 2 sin x [1-(π/2)] is the solution of the integra

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Q: Use the final value theorem, the final value of f(t)=6. (et +2) - 10 is.....

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Q: Let A be a 3x3 matrix, and let u₁ and u₂ be the first two columns of A. Assume that u₁ and u₂ are…

A: Here, u1 and u2 are the first two columns of the matrix A and they are not parallel.  That implies…

Q: 2. Write the Taylor's series expansion of the function f(x) = sin (ax) about x = 0, where a 0 is a…

A: Solution :-

Q: Problem 1 CHANGE OF VARIABLES. = // (2y - 2)²2) 1² +3 Let 9 = {(x, y) = R²; y + y - x ≤ 1} and I =…

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Q: Determine the values of a for which the following system of linear equations has no solutions, a…

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Q: Let P(x)=20x*-7x3 be the Lagrange interpolating polynomial that approximates a function f over the…

A: Given that P(x) approximates a function f over the interval -1, 1, where P(x)=20x4-7x3is the…

Q: . Consider the following problem max [(1 - s) √kdt s.a. k= s√k k(0) 1, k(10) libre, s(t) = [0, 1],…

A: Given: The problem is max∫0101-skdt. The given constraints are:  k˙=sk, k0=1and st∈0,1 for all…

Q: Evaluate f(2) for f(t) = 1 + u₂(t)t.

A: Given: f(t)=1+u2(t)t To evaluate: f(2)

Q: Round 66,486 to the nearest thousand

A: Consider the given number is 66,486. We have to round the given number to the nearest thousands. The…

Q: 2. Find the maximum and minimum values of the function f(x, y) = x² + y² − x − y + 1 on the…

A: Given: Let us consider the given function fx,y=x2+y2-x-y+1 and the vertices 0,0,2,0, and 0,2. To…

Q: Given the graph of f(x) = √x as shown, graph the function - 4f(x − 3). 8+ 7+ 6+ 5+ 4+ 3+ 2+ H -8 -7…

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Q: 3. Consider the transformation D: P2 P2 given by (1.4.15). Find the eigenvalues and eigenvectors of…

A: The given transformation is D:P2→P2 defined by Df(x)=f'(x). To Find: Eigenvalues, eigenvectors, and…

Q: Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule…

A: Given integration is ∫086x5-4x3dx=258048 Here exact solution is 258048. We have f(x)=6x5-4x3 For n=4…

Q: For the function f: f(3) = 2. f'(3) = 7 and f(n)(3) = -- nf(n-1)(3) for n ≥ 2. Find the first five…

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Q: The Harvard Step Test was developedt in 1943 as a physical fitness test, and modifications of it…

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Q: Two integers are of the same parity if they are both even or both odd. Prove that if x and y are of…

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Q: Q1. Given the nonlinear equation x = Cos ¹(x²), find the: athod

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Q: During the last year the value of my car depreciated by 30%. If the value of my car is ⁢17,000…

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Q: Use the 4th order Runge-Kutta Method to Solve the differential equation dy ax==(x-x-1)=²72 to find…

A: Given: dydx=y-x-12+2, y(0) = 1, h = 0.2We have to find y(1) and percentage error. Also, the exact…

Q: The River debit on the 1st of every month for a year. Month Jan Feb Mar April May June July August…

A: The regression is a technique used to fit a dataset into an equation. A graphing utility can be used…

Q: and B (,0). B a) Write down the coordinates of the midpoint of line segment AB. Another line, L2,…

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Q: The Laplace transform of the following function f(t)--2. e2t +0.5.8(t) is F(s) - A so the constants…

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Q: Find a vector parametric equation r(t) for the line through the points P = (4, −3, 4) and Q = (3,…

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Q: Determine the positive real root of ln(x^2)=0.7 using three iterations of bisection and…

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: d2n-1 dr2n-1 (x sinx) = (-1)-¹(xcosx + (2n-1) sinx). To solve this problem use mathematical…

A: d2n-1dx2n-1x sinx=-1n-1x cosx +2n-1sinx

Q: 1. Let k be a nonzero constant. Show that the equation of the tangent plane to the surface xyz = k…

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Q: Solve the following optimization problem subject to max-(₁-4)²-(₂-4)² 21,22 x₁ + x₂ ≤ 4,2₁ +372 ≤9

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Q: Quick question is that 2500 and 5000feet per minute ?

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Q: Show that convolution with a given function f commutes with differentiation; that is, show that…

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Q: The Z-transform of the following function f[k] =2k +(-5)* - (-4)* is so the constants A and B…

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Q: Problem 2 CONSERVATIVE VECTOR FIELD -I -Y The vector field F(x, y) = \(x² + y²) (2² + y²)/ is…

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Q: Find the standard form of the equation of a circle given the following conditions 10. Passes through…

A: We will use general equation of circle  x2+y2+2gx +2fy +c=0  ......(1)

Q: Q5: Use the necessary transformation to generate Figure3 (polygon) from Figure2 (the two parallel…

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Q: Find the approximate error, relative approximate error, and absolute relative approximate error of…

A: The approximate error is calculated using the formula: Ea=Present value-Previous value. The relative…

Q: enoitetimil torte stigasb = 4", where m, neN. 10. Prove the identity: 3 r=0 itong s

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Q: You have three types of ground coffee: cheap ($5/pound), medium ($8/pound), and expensive Arabica…

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Q: why is the matrix like that?

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Q: Determine the validity of the following "If 7<4 or 7 is a prime number" "7 is not less than 4"…

A: Let : p be 7 is less than 4 q be 7 is a prime number   So, the argument can be written in symbolic…

Q: 9. Solve d²x dt² + 4x + 5y = 1²; d²y dt² + 5x + 4y = t +1.

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Q: 4. 3√(1 +¸y″)² = [2x*y³ + (v″)*]

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Q: 2A.Imani starts her hieyele from rest and accelerates uniformly to a speed of 40 km/h in 6 minutes.…

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Q: Prove that A → B = (Vx)A B- (Vx)A → (Vy)B, if y is not free in B.

A: To prove that A→B ↦∀x∀A→∀yB, if y is not free in B.

Q: -12 -4 x→0 18 -18 (a) lim G(x) = ΝΑ (c) limG(x) = x→0 For the function graphed in the accompanying…

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Q: Consider the process X(t) = W(t) + t. What is the probability that it ever reaches the value-1?…

A: Given: Let us consider the given process Xt=Wt+t To determine: The probability that it ever reaches…

Q: Use the final value theorem, the final value of f(t)=6. (et +2)- 10 is .....

A: Finding final value using laplace transform

Q: (i) Sketch (as accurately as possible) below the function y = t², as x varies from -2 to 2. Then…

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Q: Find the root of equation 3.43x^3-6.4cosx-9.61 By using newton raphson method.

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Q: Two players, A and B, are playing an asymmetrical game. There are n points on the game board. Each…

A: Given: A &amp; B are players which are playing an asymmetrical game. n points on the game board.…

Q: C. Find the standard form of the equation of a circle given the following conditions. 9. Diameter is…

A: 9. Hint: The standard equation of circle is (x-h)2+(y-k)2=r2, where (h, k) is the center and r is…