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Q: Q3) Obtain the Fourier series of the waveform shown in Figure below. Use the exponential form of the…

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

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Q: Question 2 Let F(x, v. 2) = -2y7 + 2xj. Use Stokes' Theorem to find 17-d7, where C is a circle…

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Q: if (1+i)(x+iy) = 2+4i then 5x is: * O 15 O 10 05 O 3 Let z be a complex number such that |z| = 4 and…

A: Given (1+i)(x+iy)=2+4i. We find 5x.

Q: organize the truth table of the following Proposition. {[(P=>r) => (vr)] >> P } 19 Uni Note

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Q: ¹).. Suppose that fn are integrable and ffn du <∞. Show that, if fn 1 f, then f is integrable and f…

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Q: the angles between the vectors u = 2i - 2j+ k, v = 3i + 4k = O 84.2 O 40.2 O 48.2 80.3

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Q: There have two matrix A and B [0 2 0 [3 2 11 22 A = 2 0 0 B = 1 LO 0 2 [1 2 1. If CB=BA³, what is…

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Q: SHOW YOUR DETAILED SOLUTION Find an LU decomposition of: 2x+5y=16 3x+y=11

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Q: mpounding interest and an APR of 4.5% in sume no additional deposits are made.

A: Given as, 8 years is $25,000 and APR of 4.5%.

Q: Q16

A: We use identity , cos(z)= cosx coshy- six sinhy

Q: ind Laplace Transform of the expression. f(t) = e-5 H (t-2)

A: Sol Le-tHt-2 Apply transform rule:  if Lft=Fs then  Leatft=Fs-a

Q: gral and determine whether it is convergent or not.

A: Introduction: The formula of gamma function as integration is given by, Γx=∫0∞e-xtx-1dt

Q: (e) Find the Jacobian matrix ду 1+ where y-[11]× ×-[2²-15] G X= Z= əz (f) What is the first-order…

A: As per the question we are given a state vector z in three variables and its 2×1 observable vector…

Q: 3-2x 1./2+2x2 dx 2+4x²

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Q: Find the values of ln(z) 2)Z = -5

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Q: 3. Solve the following differential equation using any appropriate methods: First, find the general…

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Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute the polor integral so…

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Q: Q2:/ By using Z-tansform, solve the recurrence relation Xk+2 + 5xk+1 + 6x = 1 where x = 0 and x₁ = 1

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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…

Q: (a) Use a graphing utility to graph the slope field for the differential equation. 20- 20 y(x) 10-…

A: The slope field is the graphical representation of a differential equation. From a slope field, one…

Q: Find the general solution of the following linear second order inhomogeneous O.D.E.: ý -ye

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Q: Let a graph have vertices n, o, p, q, r, s, t, u and edge set {{n,o}, {n,q}, {n,r}, {n, s}, {n, u},…

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Q: Q1) Find the half-range sine series for the function f(t) = πt - t², in the interval 0<t<π.

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Q: Solve the ODE y (4) — 4y"" + 8y" — 8y' + 4y = 0. -

A: First find auxiliary equation then find solution as in next step.

Q: Find the streamlines corresponding to: f(z) = Hint: Find the differential equations and its solution…

A: Given: fz=z2y2 To find: Differential equations

Q: Q.4. Use the Ratio Test to determine if the following series converges or diverges. n! (2n+1)!

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Q: I+J

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Q: Given the partitioned matrix A = [ B]. B]₁ C D in which B and C are invertible. Which of the…

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Q: if x < - 4 - Let f(x) = x² + 3x 8 if x ≥ - 4 - If f(x) is a function which is continuous everywhere,…

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Q: 2 solve the following set of three equations by Gramer and by A XI-X22X3 = 1 2X1 - X3 = 2 X₁ + X₂ +…

A: Given the system of equations: x1-x2-2x3=12x1-x3=2x1+x2+x3=3 Solve using Cramer's rule.

Q: PC costs the store owner $1000 and a laptop costs him $1500. Each PC is sold for a profit of $ M…

A: We have given conditions..by comparing these conditions we get first three questions answers... And…

Q: Evaluating a Double Integral SS -dA where R is the triangle in the xy-plane bounded by the x-axis,…

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Q: 2. For the quadratic function y = -6x² + (K + 4)x +9, find the following: a. The Axis of Symmetry of…

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Q: ! (9) Let K be integer ring module 12 and let I-([4]) and J-([6]) be ideals of K. Then ([0]) (i) I +…

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Q: The throttle-control lever OA rotates in the range 0 ≤ 0 ≤ 90°. An internal torsional return spring…

A: Please see the attachment

Q: The given equation is: 0.2x1 + 4x2 - 0.4x3 = 32 0.5x10.2x2 + 2.5x3 = -5.1 7.5x1 + 0.1x2 - 1.5x3 =…

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Q: Q2\ Evaluate : fot√x dx

A: The given integral is ∫cot2xxdx use the identity  cosec2x-cot2x=1 cosec2x-1=cot2x therefore the…

Q: The particular integral of the difference equation Yn+3 - 6yn+2 + 12Yn+18Yn = 3n is

A: We have to find Particular Solution of given difference equation yn+3 - 6yn+2  +12yn+1 - 8yn  = 3n.

Q: Find an LU decomposition of: 2x+3y-z=5 3x+2y+z=10 x-5y+3z=0

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Q: The relationship between sales S and the amount x and y spent on two advertising media is given by…

A: Given: S=200x5+y+100y10+y To find: Solution

Q: How to find the inverse Laplace transform of the expression? (3s-5) / (4s2+4s+1)

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Q: a. Solve the ODE y" + 3y + 2y = 0. b. Use the method of undetermined coefficients to find a…

A: We can solve the given differential equation using method of undetermined coefficients. In this…

Q: / Reversing the order of integration fxsinydydx.

A: To find- Reversing the order of integration ∫0π∫0xxsiny dy dx

Q: Find the optimal solution to the following problem. Minimize f (x1, X2, X3) = x₁² + 2x2² + 10x3²…

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Q: н-ду +1д=

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Q: 2. d²y dy +5 − 3y=0, given that when x =0, dx2 dx dy y=4 and =9. d.x

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Q: Let's prove that K5,9 is not planar: First, how many vertices and how many edges does K5,9 have? v=…

A: Given: K5,9 To find: Solution

Q: Find the local maxima, local minima, and saddle points of the function, f(x, y) = x³ + 3xy + y³

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Q: 4. Solve the following differential equation using any appropriate methods: First, find the general…

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