The Z inverse of 3z/(z-2) is: * O3/2An 2/n^3 O 2/3An 3/n^2 Non of these The Z inverse of 9z/(z-1)^2 * O Non of These O -9n 9n 10m

Q: Q4 Calculate the integral Se²y-2x (y + 2x)³ da Where R is the region formed by joining the vertices…

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Q: d) Give a formula for the coefficient of ak in the expansion of where k E Z. 100

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Q: 2) The speeds of oscillation, x, of a loaded beam is given by the equation: x³ 3.25 x² + x -0.063 =…

A: NOTE: As per the guidelines we are supposed to answer only one question because of this is not a…

Q: Q3\ using Euler method, find an approximate value of y corresponding to X€ [0 -0.7], Given = x(x +…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. y…

A: We solve the DE  ydx=2(x+y)dy ........(1)

Q: Find Z transform for 3 F(t) = t

A: We have to find the Z transformation of f(t) we solve it by using the given below formula

Q: 1. A tank initially contains 50 gallons of pure water. At t=0, a brine solution containing 2 lb/gal…

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Q: the given initial condition. (a)

A: Given,               dxdt+dydx+y=t         dxdt+4dydt+x=1  and     x(0)=1, and     y(0)=0

Q: Find f'(x). -2 f(x) = (x³ + 1)-² f'(x) =

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Q: (3) If M is integers ring module n, then M is a field if n=...... O (i) 9 O (ii) 5 O (iii) 12

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Q: t, for t > 0, sa X 2 is

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. X…

A: Given, xdydx=y+x2-y2 ,x >0

Q: Solve d² y dy² – 3 +2y= xe3 dy dx

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Q: Solving A = Pe¹¹ for P, we obtain P = Ae which is the present value of the amount A due in t years…

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Q: dy a) Show that the equation x² - 19y² 18xy = is homogeneous. dx The equation is homogeneous because…

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Q: Laplas invees Q1/ Find 1 = s² (s+1)(S-1)²

A: Using partial fraction and standard formulas of inverse Laplace transform, we find the inverse…

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Q: Consider the initial value problem y+y=1-₁ y(0) = yo What equation expresses the requirement that…

A: Given differential equation is y'+65y=1−16t and y0=y0. Write the auxiliary equation, which is given…

Q: [4 1 5. Find the eigenvalues and eigenvectors the system X'= 0 4 Lo 0 Use the eigenvalues and…

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Q: Let CR be the space of all continuous and bounded functions x(t) on R with norm ||x|| = supR |x(t)|.…

A: As per the question we are given a normed space over the field CR and an operator A such that :…

Q: 2/Solve the following sequence X(n)= n. "u(-n) by using the differentiation property of the…

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Q: A scalar field is given by f = x2/3 + y2/3, where x and y are the Cartesian coordinates. The…

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Q: Use the Divergence Theorem to calculate the surface integral 11. F F. ds; that is, calculate the…

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Q: Question 2.10c. Consider the following system x + y + z + w = 1; x y z w = - Find the solution of…

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Q: f(x)=sin(x) is of order 1.

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Q: A firm has commissioned an IE to design a trash can with a capacity of 30 gallons. The can is in the…

A: Given: 30 gallons To find: Solution

Q: Draw the directed graph of the relation R = {(1,2), (2,1), (1,1), (2,2), (3,3), (4,1)} X=123 43

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Q: Question 2. Find all second-order three-step methods in the form y+=ay+ay+a₂yn-2" +h[b_f (t+1Y+) +bf…

A: Given: y''=y2y1+t2 To find: Solution

Q: using data on Y and x estimate the 2 regression equation what is the are the value of R² ? Yi =…

A: Given the data on x and y To find the regression equation of line. Also find the value R2

Q: The volume of the solid obtained by revolving the region bounded by the curve y = x - x² and the…

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Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)-0 Find y(0.1)?

A: Picard's iterative method helps to solve the differential equation by a sequence of approximations…

Q: Construct a finite state automaton that recognizes all strings that end with 11.

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Q: In this problem, x=c, cos(t) +c, sin(t) is a two-parameter family of solutions of the second-order…

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Q: lim X-0 √√√x √√√x 按

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Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)=0 Find y(0.1)?

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Q: Determine the following limits by using L'Hôpital's Rule, if exists. 1- x + ln x 4/3 X (a) lim x1 x³…

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Q: Q2:/Sketch the region (R) of integration (x² + y²) dydx and evaluate the integration. Then reverse…

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Q: In Numerical differentiation, explain and solve a sum using Newton's forward method clearly with…

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Q: Find the inverse relation of R = {(a, 5), (b, 3), (c, 2), (d, 1)}

A: given relation  R={(a, 5), (b, 3), (c, 2), (d, 1)} we have to find R-1

Q: Part A:  In which interval is the radical function  f of x is equal to the square root of the…

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Q: Using Newton Raphson method, do 4 iterations to find a positive root for f(x)=sin(x)-x² starting…

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Q: Find all integer values of x for which 3x = 4 (mod 8).

A: given congruence equation 3x≡4(mod 8)

Q: f(x)=sin(x) is of order 1.

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Q: Solve the given initial value problem and determine how the interval in which the solution exists…

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Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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Q: Consider the differential equation x" + 16x = f(t) where f(t) = 2- |t| for -2 < t < 2 which is…

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Q: A Let (A, +,.) be a subgroup of (M₂ (Z), +,.), Then A is ideal of M₂ (Z), where = {(ab) a, b, c €…

A: Let I be a non-empty subset of a ring (R,+,·). Then I is an ideal of (R,+,·) if and only if the…

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Q: Multiply the following fractions using the array model method described in the video lesson. Make…

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Q: Q2:/Sketch the region (R) of integration f (x² + y²) dydx and evaluate the integration. Then reverse…

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