. (1 + j3)z² + (5 + j6)z +7 – j6 = 0

Q: Use an appropriate substitution to integrate 2. A sin u +c 12r'sin (x?– 2) +c © 12sin (x2- 2) +c…

A: To evaluate the given integral.

Q: Let A = Consider the discrete dynamical system x+1 = Axg. If xo = what is x,? Enter it into x_2.…

A: Given discrete dynamical system is xi+1=Axi where matrix A is A=320073

Q: 3. у") - бу' () - 2у(t) %3 4 сos 2t- 4t3; у (0) — — 2,у'(0) — 3 4 cos 2t - 4t3; У (0) — — 2, у'(0) —…

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Q: Give an example of a ring Zn and polynomials f, g ∈ Zn[x] such that f, g do not satisfy relation…

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Q: Consider the trees with 7 vertices which have exactly 4 leaves. (a) Find a representative of each…

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Q: 7. xdx + ydd = 8. (2x2 + y)dx + (x²y - x)dy = 0 (x² + y²)dx

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Q: g. L[cos(3t – 4)] h. L[t³sin(2t)cos(2t)] i. [[te-atsin(at)]

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

Q: Simplify 6+j2.5 3+j4

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Q: Consider the sequence defined by the recurrence: a0 = -1, a1 = 2, an+2 = 3an+1 - 2an (n is greater…

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Q: 1 J (5x)sin X )dx + 5 (5x – 15)sin 1.5 NT X |dx 1.5 1.5

A: To solve the given integration.

Q: Show that the function f defined by 1, (1, y) = (0,0) %3D f(r, y) = {1 +y (1, y) # (0,0) I+y is not…

A: The given function is f(x,y)=1 if (x,y)=(0,0)x2+yx+y if (x,y)≠(0,0) First we will show that the…

Q: The pattern​ 1, 8,​ 27, 64,​ 125, ... is a cubic pattern named because 1=1•1•1 or 1^3 8=2•2•2 or…

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Q: The limit 1 log n y = lim [1 + n00 n = 0.57721 56649 01532 86060 65120... is called Euler's constant…

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Q: Show that the function f defined by (r, y) = (1, –1) (r, y) # (1, –1) f(r, y) = 1² + y is not…

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Q: Solve the value of x in the system of equations. х — Зу 3z =- 1 = - 1 y-z = 0 а. t b. - t с. 1 — 3t…

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Q: Q2 An electrical device was measured for its current, I fluctuates at a number of different values…

A: We can solve this using given information

Q: 3. (1 – 3 sinh( 2t) + sinh(4t))´ dt

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Q: The order of the differential equation whose general solution is given by y = c*+C2 + (C3 + C4) –…

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Q: 4. (а) Find d -1 dx V 1+ x². 1 (b) Hence evaluate 2 dx. (1+ x2)3/2

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Q: (x* - y*)dx + xy dy = 0

A: Given: Differential equation x4-y4dx+xy3dy=0 To find: An integrating factor. As per the policy…

Q: Which of the following direction field will represent the differential equation y' = x + y Option 1…

A: Given:  y' = x+y

Q: To find the distance AB across a river, a distance BC = 1226 m is laid off on one side of the river.…

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Q: 2. Evaluate the following integrals (a) / 20° 2x + 3х — 2 dx (b) /: 3x2 + Vx dx (c) / t (Vi – 3t) dt

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Q: Given that the matrix A has eigenvalues A1 = -5 with corresponding eigenvector v1 and A2 = 5 with…

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Q: 5. Let o1, 02, 03 be the Pauli spin matrices (? 0 1 1 0 1 03 = 01 02 i and oo = I2. Consider the…

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Q: Solve the equation dy, 3y + dx +2 = 3x, y(1) = 1.

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Q: [B] Use the Newton-divided difference formula to find a polynomial of the form P„(x) = = ax4 + bx³ +…

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Q: Jan Reus sold her home and has $18,000 to invest. She believes she can earn 8% compounded quarterly.…

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Q: If 1 4 and v2 are eigenvectors of a matrix A corresponding to the eigenvalues A1 -4 and X2 = 1,…

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Q: 2х-1 7. Into how many partial fractions should dx be decomposed such that the (x++2x²+1)(x²–1)2…

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Q: dr = 83 8= gravitational force 1. %3D dt in m/sec2 when t = 1, v= 4.

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

Q: By Variation of Parameters 1) xy' + (1 – x)y = xe* 2)(x²

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Q: 1 Given: E = 3 -1 [-2 2 01 2, find E1. 3 -2] 2 -1 11 a. -2/3 -5/3 2 c. nonsingula -1] 4/3 -5/3 b.…

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Q: An 8-foot ladder is leaning against a wall. The top of the ladder is sliding down the wall at the…

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Q: if was T:R Linearidentifir grand father O KerT ImF

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Q: 3.) S(1 – sin²xcos²x)²dx

A: As per our guidelines we need to solve only one question. Please repost the remaining questions as…

Q: A system which is represented by the given equation below, is able to work effectively even when the…

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Q: 1 example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: consider the curves  fx=x2 , gx=8-x2

Q: íf was T'fz (R)→R Linearidentifier grand father ♡ Kert ☺ Im T

A: Here given that a linear identifier T :ℙ2ℝ→ℝ3 defined by Ta+bx+cx2=a, b, a+b. We have to find Ker T…

Q: II. Consider the function g defined by 1 g(x, y) = cos (12VT) + log3(r – y)' Do as indicated. 1.…

A: The given function of the two variables is g(x,y)=cos(πxy)+1log3(x-y). (a) To find: ∂2g∂y∂x. (b) To…

Q: After verifying that the power series method applies, find the general solution (to 5 terms) using…

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Q: [C] Use Newton-Raphson Method to perform thirteen iterations to the equation sin(x) + a? – e + 8 = 0…

A: Find the root of the given equation :-

Q: 5. Find the coefficient of correlation between x and y from the given data. Also find the two lines…

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Q: (vi) { ve'": rsi and @ 4 4 (VW) £ : 1리1 < 1or l 군- 41 <1 5

A: This is a problem of complex analysis.

Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) 4x+ 2y + z %3D subject to a…

A: To solve: Maximize fx,y,z=4x+2y+zSubject to x2+y+z2=1By using lagrange multiplier.

Q: IF R= 5B-2C find the value of the following R10 13 W16 11 14 17 r32 #12 15 18

A: To find the elements of the given matrices :-

Q: Find the general solution to the equation xdx + -dy= 3dy O x=/2y+ Cy-2 O xy= 2y + C O y = 2x3 + C…

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Q: 3. Calculate the area enclosed by the graphs of y = e* and y = x², the y-axis and the line x =1

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Q: Two pair misread values. A computer while calculating she correlation coefficient.between two…

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