PA certain pesitive integer X has the! factongation 2°35ª How mamy divisors des the integer x have ? individunl

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Q: Q1) Determine the parameters a and b so that f (x) = aebx fits the following data in the…

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Q: (Fourier series) (a) Show that the pointwise convergent series 00 sin(nx) n1/2 11=1 cannot converge…

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Q: а), J: Find the length of the curve y=3/7 x, 0<x<3 Length= ]: Find the area of the surface b)…

A: Let us consider the function y=f(x)  The length of the curve in the interval [a, b] is obtained as…

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Q: 8.C.7: Suppose V is a complex vector space. Suppose that PE£(V) is such that P2 =P. Prove that the…

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Q: Consider a pentagon P with 100 points in the interior of P. Let T be a triangulation of P with…

A: Given that P is a pentagon with 100 points in the interior of P. T be a triangulation of P with…

Q: Determine the answer to the question. Twelve percent of what number is 48? The answer is

A: Let n be the required number.  Then,         n x 12% = 48       =&gt; 12n/100 = 48       =&gt; n =…

Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

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Q: use Euter me thed to solve y's 2-24

A: Let us consider the given function y'=f(x,y), y(x0)=y0 Solving using the Euler method  Then the…

Q: 8.C.11: Suppose TEL(V) is invertible. Prove that there exists a polynomial pE P(F) such that…

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Q: 3. Expand cos²x as a series of ascending powers of x.

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Q: Q3) Use the Newton-Raphson method to find the root of f(x) = -0.5x *(4 – x) – 2 with initial guess…

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Q: Find a basis for the subspace of ps W= , X3, X4, Xs )x1 + 2x, + x5 = 0} OA {(1.0,0,1). (0,-1,0,0,2).…

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Q: 2/ Complete the following table to find the values a, b,c and s -1 2845 308 3162 1 3544 a h

A: #The value  308 seems wrong , it should be 3162-2845=317, so taking 317 for calculation purpose the…

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Q: Q1: Determine X(z) for each of the following and write anddraw ROC: a) x(n) = [ 3 0 22 - 12 6. 10 1…

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Q: (6) If u, =*-!P«(x)Pn -1(x) dx, show that nu, + (n – 1)n-1 = 2, %3D and hence evaluate u„.

A: Given un=∫-11x-1PnxPn-1xdx

Q: Consider the function f(T,y)= kr – 2ry + y?. |3D 1. Show that (0, 0) is a critical point of f(r, y).…

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Q: Let 3 21 Г1 —2 A = 3 -6 9 6 Describe all solutions of Aa = ở. +x4 +x3 i = x2

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Q: z +3 - iv2 lim z--3+iv2 z² + 6z + 11 1. 2.

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

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Q: Encode the word FINITE using the encoding matrix: [33 48] 42 64 L35 60] a [33 50] 41 64 [35 60] b…

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Q: Q3/ The value of k such that P2 (1) = 2.8, 2 4 of 1 2 Is

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Q: Question 2: Consider the nonlinear system -x1 + 10x2 – cos(x1 – x2) – 2 = 0 10x, + x2 + sin (x, +…

A: Given: Let us consider the given nonlinear systems, -x1+10x2-cosx1-x2-2=010x1+x2+sinx1+x2-10

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Q: x' + y = 0 y' – x = 0 x(0) = 1 y(0) = 0.

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Q: Solve this Question by using Laplace y" + 4y' + 5y = 125t2 y(0) = 0,y'(0) = 0 %3D

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Q: 3. Find all solutions to the equation (D² – 3D + 2)y(x) = 2e3ª.

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Q: Diagonalize the matrix below, if possible. The eigenvalues for A are )= 1,2. 0 -4 -6 A -1 -3 1 2 5

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Q: find ĕ = 1tiG residues Re12) Satis fies the equation

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Q: 1_If the requirement is greater than available in transport matters, we add an imaginary row with…

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Q: A fast-food restaurant has a cost of production C (x) = 12x + 95 and a revenue function R(x) = 7x.…

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Q: Suppose that on the interval I, f(x) is positive and concave up. Furthermore, assume that f" (x)…

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Q: To help pay for new costumes for a play, a theater invests $1200 in a 30-month CD paying 2.4%…

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Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

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Q: John Lee's savings account has a balance of $716. After 3 years, what will the amount of interest be…

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Q: 6. Solve the initial value problem y" – y = cos(x) with y(0) = 0 and y'(0) = 1.

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Q: . Let S be the part of the sphere r+y? + 22 =4 located above the plane z 0, oriented at the point…

A: Flux of a vector valued function over a surface S is given by Flux=∫∫S F→ dS Here we can calculate…

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