Find the solution. dy dx

Q: 1. Evaluate in a + jb form given Z, = 1+ j2 , Z2 = 4- j3 , Z3 = -2+ j3 and Z, = -5 - j. a. Z, + Z2 -…

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Q: The minimum of the three eigen-value of the given matrix is: 1 -1 A = -1 0 0 -2

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Q: 4+4 n i) The sequence { ) is bounded by 3 n ii) The 11 th. element of this sequence is

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Q: 1. Suppose that f(2) is analytic on the set A = {z :1< |z| < 2}, and let f(2) = E apzk be its…

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Q: Approximating Euler's e. 1. Let f(z) = e". (a) Use the Maclaurin series for f(x) to give an…

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Q: 3. For the graph shown above, use Prim's algorithm using vertex B as a starting point.

A: Given: A graph To find: 3) Minimum spanning tree starting from vertex B using Prim's algorithm.

Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. @ y = (c,+cx)e¯* + cze -2r + e*(c_,cosr + c zsinx)…

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Q: Simplify the following Boolean Expression using Boolean theorems. F (A, B, C, D) = ABC + ĀD + BD +…

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Q: (b) Find the Laplace transform of f(t) = t + te (i) First solve using integration Then solve using…

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Q: {4y=+3x+3−15x+py=−2{4y=+3x+3-15x+py=-2 What value of pp makes this system inconsistent? p=p=

A: Given, Equations-    4y=3x+3-15x+py=-2 To find: Value of p for which system becomes inconsistent

Q: Consider the following. 0, -2 s x s -1, f(x) 7x, -1 <x < 1, f(x + 4) = f(x) 1sx < 2; 00 (b) Find the…

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Q: Find a basis for and the dimension of the subspace W of R*. w = {(3s – t, s, 4t, s): s and t are…

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Q: ind a Maclaurin series expansion for f(x) = tan-'x

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Q: 5) a) Construct a Fourier Series for f(x) = (x2 12x)for 12 < x < 3n - b) Briefly explain the…

A: To give the Fourier series for  f(x)=x2 -12x for x∈0,3π We are considering this range since the x…

Q: 4. Find the number of surjections from {1, 2, ..., m} to {1, 2, .. ., n} such that no element in the…

A: We have to find the number of Surjection from one set to another set.

Q: Proble Consider the following graphs and determine the degree of each vertex : d. C (ii) b. (iii)…

A: find degree of each vertex  every edges count 1 and self loop count 2

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A x = y-(1 + e'-*) B y = x-2(1 + el+x) © y = x-'(1 -…

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Q: by Newton-Raphsan method ( E= 0.000l) 2

A: Vali of the 29 Using Newton's Raphson method

Q: I. Evaluate the following using the limit theorems. 1. lim (x,y)→(-1,4) (5x2 – 2xy + y?)

A: We have to find the limit ;   lim(x,y)→(-1,4)(5x2-2xy+y2)  using the limit theorems.

Q: If Total utility function Tu= x3-30 X2 Find number of consumption where is Average Utility are…

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Q: 2. Consider the function ƒ : R × R –→R xR defined by f(2,v) = (,). Determine the powers of f. (Note…

A: The given function is:  f(x,y)=x+y2,x-y2.   we need to find the powers of f(x,y).

Q: I need help with this problem

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Q: 2. Solve the initial value problem by the method of Laplace transforms: y" + 3y' + 2y = 6u(t – In…

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Q: Find the critical point of the function. Then use the Second Derivative Test to classify the nature…

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Q: Draw two graphs (which type?) for the following data, one that makes it look like gun crimes are…

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

Q: nd a basis for and the dimension of the solution space of the homogeneous system of linear…

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Q: 0 3 2 5 1 0 0 2 a 7 The matrix A = has 2 4 0 0 b det (A) = 100 and trace(A) = 14. The value of a – b…

A: Let us consider the matrix A=aij The trace of the matrix is sum all the diagonal elements  In other…

Q: If you want to earn 15% annual simple interest on an investment how much should you pay for a note…

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Q: Find the solution. y'+ ty = ty³

A: Divide both sides of the given equation by y3. y'+tyy3=ty3y31y3y'+ty2=t Consider 1y2=u and…

Q: (d) Prove that if A does not have any real eigenvalues, then A is similar to a matrix of the form XQ…

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Q: Use cylindrical coordinates. Evaluate (x + y + z) dV, where E is the solid in the first octant that…

A: To evaluate ∫∫∫Ex+y+zdV, where E is the solid in the first octant that lies under the paraboloid…

Q: the two squares. Explain all steps. 1g 6X 80S n6N nale uoy yd bawollot szsrlq gniwollot srt eqyt no…

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Q: Evaluate This Integral if curve C consists of curve C₁ which is a parabola y=x² from point (0,0) to…

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Q: be a positive number. Determine the values of p for which

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Q: a) Find Y(s)/X(s) for the following differential equation d³y dydy. d?x dx +6+5y=- +2+9x, where the…

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Q: a.) Determine if x< = 2 (mod 7817) has solutions. b.) Determine if x< = 3760 (mod 4861) has…

A: x2≡2(mod 7817) has a solution if and only if  2 is a quadratic residue of 7817. Euler's criterion…

Q: A population growing with harvesting will behave according to the differential equation dy 0.1y(1 dt…

A: Given differential equation dydt=0.1y1-y1300-c ;       y(0)=y0

Q: Consider the following IVP: y' +y = e2t ; y(0) = 0 Find the general solution. A) y(t) = 5 1 + -e 5…

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Q: Find bases for the range and nullity of 1 -1 2 3 2 -2 5 4 1 -1 0 7

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Q: If M and N are metric spaces, the Cartesian product M x N is again a netric space with the distance…

A: We have given that , M and N are metric spaces. We have to show that , M × N is again a metric space…

Q: -X f(x) = x + e Solve this question by the Newton-Raphson method on the topic of solution of…

A: The Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

Q: Solve the equation: 4ez = 8i A) z = In 2 + iT (;+ 2k) B) z = 2 In 2 + im (+ 2k) c) z= In4 + Ir (;+…

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Q: If you had a bag of 36,110,00 gumballs. 1,673,785 (4.9%) were red and 34,326,215 (95.1%) were not…

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Q: Which are the five roots of 1 in the complex domain? What are their natural logarithms?

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Q: How many ounces of a 15% alcohol solution must be mixed with 9 ounces of a 20% alcohol solution to…

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