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Q: 1. Using the definition and the properties of the Dirac delta function evaluate the following integr...
A: I am solving these in step 2
Q: # y= Ax + Bx la x, x>0, is the general solution of a homogeneous second-order Cauchy-Euler equation....
A: We have to identify whether the given statement is true or false.
Q: Q3. Prove or disprove: If A is invertible, then A'A is positive definite.
A: A positive definite matrix is related to the theory of matrix. For a given square matrix A, it is re...
Q: 5. Find (().
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Q: Q4: solve Bernoulli differential equation t2 y'--2ty+y ?
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Q: nºx, 0<x<1/n fm (x)= { --n²x+2n, 1/n<x<2/n L 0, 2/n<x<1 uniformly convergent on [0, 1]?
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Q: 6. Prove that for all integers a, b, and c, if a² + b² = c², then at least one of a and b is even.
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Q: Complete the table below by finding the unknown Principal P, Rate r, Time t and compound interest /c...
A: To complete the table given by finding the unknows. In first row: given principal P= 15000, rate=7%=...
Q: 1. Consider the vectors vi Find the following Proj., b and Proj., b. and b
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Q: 59 An Analysis of antenna radiation patterns for a system with cir- cular aperture involves the equa...
A: Given equation is, gu=∫01frJ0urrdr Where, fr=1-r2 We know that ,Jnx=∑k=0∞-1kk!n+k+1!x2n+2k Thus gu=∫...
Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). 1 4 6. 1 -1 1 -1 I
A: We have to find the satisfying third degree polynomial.
Q: Q3: if y'-f(y/x) where v-y/x Find a solution to the differential equation 2xyy'-y2+x² =0 ?
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Q: dx ii) d-2(x); (1+ x²' | 82(x) In(x)dx d1/3(x)x²dx, iii)
A: I am solving these in step 2
Q: Prove the following in axiomatic system. (A- (-B - C),~B}-A-C
A: Laws of inference are very useful in proving mathematical statement. We can build a sequence of proo...
Q: Set up (and do not evaluate) the iterated double integral in polar coordinates equal to the mass of ...
A: The given equation of cone is - (z-2)2=x2+y2 The above cone lies in the first octant between the cy...
Q: 5. Find (). 24e-5s L-1 S s2 – 9 s2 + 8s + 17
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Q: x' = (; )x + () 1 -1 2 X(1) = -1/ 1/t/" | -
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Q: 1. Consider the vectors vi= Find the following Proj., b and Proj,b. and b
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Q: Find the inverse function of y = (2x-1) (x-1) fx) = -1) 2x f(x) =2* fx) = (x+1) 2x (х-1) fx) = (x+1)...
A: Inverse of the function
Q: Q2/ Find the value of the following integrals: 1- |((x+ y)dx +(y-x)dy), when c is given by, x = cos ...
A: We have to evaluate the integral is ∫cx+ydx+y−xdy. where c is given by x=cosθ, y=sinθ and 0≤θ≤2π. Si...
Q: 7. If f is a continuous function such that f(t)dt = x sin x + f(t) dt for all x , find an explicit f...
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Q: - Consider the vectors vi= and b Find the following Proj., b and Proj, b.
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Q: Convert your last 5 digits of (1919300) number and hexadecimal number.
A: Since you have posted multiple questions and we can answer one question. So, answered question numbe...
Q: f(t) is a periodic function. a) When f is "even function" find Fourier series. b) When f is "odd fun...
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Q: If a 31-day salary is 3,500, how much is it for 4 days?
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Q: Let X denote the diameter of an armored electric cable and Y denote the diameter of the ceramic mold...
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Q: If f is a continuous function such that f(t)dt = xsin x + dt for all x, find an 1+t explicit formula...
A: The function f(x) is a rule that associates or fixes a number to the particular point x. Mathematica...
Q: Find the least squares polynomial of degree one for the data in the following table. Then write the ...
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Q: Find the Taylor Series representation of the function f(x) = In(ax+b) Then evaluate the first three ...
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Q: find z trans foyms of folleing -an simwn ĭ
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Q: Determine the minimum spanning tree T for the graph with weight G in the figure below: 3
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Q: A boutique owner spends ₱200.00 for every clothe that she will be selling on her store. Ten percent ...
A: Given that,Cost=₱200.00Operating cost=₱20 Profit=₱70 Mark-up=₱90Mark-up rate and the selling price o...
Q: у" - 2у' + у %3D хе*
A: We have to solve the given differential equation by method of undetermined coefficients
Q: Solve the following ODE using Runge-Kutta 4 stage method y" + 2 y = t? with the following initial co...
A: clear all; fy=@(t,y,z) z; fz=@(t,y,z) t^2 - 2 * y; t(0) = 50; z(0) = 10; y(0) = 50; h=0.5; tf = 2; N...
Q: A department store has found that its value of sales (z) depends on the mumber of advertisements in ...
A: Given that number of advertisements in circular = x number of advertisements in news papers = y sal...
Q: Q1: For the table shown below, answer the following questions: a) Approximate f(3.3) using Lagrange ...
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Q: A. Find the Laplace Transform if the given is a function of t, and Inverse Transform if the given is...
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Q: Find the general solution of hp dy + 12- dx² dx 8y = 21e2x | dr3
A: To find the general solution of the given differential equation: d3ydx3−6d2ydx2+12dydx−8y=21e2x
Q: A model for the spread of contagious diseases is obtained by assuming that the rate of spread is pro...
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Q: e 6. y' -2y' +y=F +1
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Q: (a) {(-} )'}
A: Solution a: Given sequence is xk=-15k (1) Formula for z-transform is Zx[k]=∑k=0∞x[k]z-k From (...
Q: Prove that in a field, the multiplicative identity 1 is always unique.
A: Consider a field F under the standard operation addition and multiplication. An element e of F is ca...
Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). 1 4 6. y 1 -1 1 -1
A: For the given data points,we have to find out the third degree polynomial satisfying the given data.
Q: Consider the function f: R R dcfined by f (x) = x sinh (a) Usc the Maclaurin scrics of exp to find t...
A: Question from Maclaurin series.
Q: Let F be the vector field F = (14x – a', – Jv", – }2*) %3D Compute the normal at the point (1, 1, 1)...
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Q: ) a minimal element but no maximal element. ) a maximal element but no minimal element. ) neither a ...
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Q: 1. Let F be a forest with 50 vertices and 35 edges. How many trees does have F.
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Q: dx + 2x = dt dy + 10 cos t, dt ay + 2y = 4e-2t – dt 业 da if x = dt rstem
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Q: 1. Evaluate the solution for the following differential equation y" – 2y + y =
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Q: Q1. Suppose that A and B are positive definite n x n matrices. Which of the following matrices must ...
A: ACCORDING TO COMPANY GUIDELINES, WE ARE ALLOWED TO SOLVE ONLY ONE QUESTION WHEN MULTIPLE QUESTIONS A...
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