Resolver los siguientes problemas de Cauchy pa primer orden: az az %3D a) y-x = 0 z(x,0) = x², ду az az b) x -y = 0 z(x,1) = |x|. ду ax

Q: 18 M = 18 -9 6- Find formulas for the entries of M", wheren is a positive integer. M" =

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Q: A bowl contains 10 chips of the same size and shape. One and only one of these chips is red. Draw…

A: Discrete Random Variable: A discrete random variable is a variable whose values can be obtained by…

Q: Compute the following: (a) 152 31

A: As both the questions are different, we shall solve first one only as per the company guidelines.…

Q: Differentiate the following with respect to X: In(x? + 3x +5) X A. x² + 3x +5 В. 2x +3 x2 + 3x +5 3…

A: Let, f(x)=ln(x2+3x+5) is the function. We have to find the derivative of this function with respect…

Q: |1 2] D 2 3 [1 0] Let A = PDP-1 and compute A4. P = 3

A: To compute A^4

Q: In an all-pay auction the highest bidder wins the object and all bidders pay their bid. Suppose two…

A: Nash equilibrium is a fundamental concept in game theory that represents a stable outcome in a game…

Q: a²u, a?u at2 0 =

A: Here, we can solve by multiple methods. We have the following differential equation.…

Q: -9 -4] Let A 1 Find S, D, and S-1 such that A = SDS–1. [88 S = D= s-1

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Q: 14. Let d, be the number of derangements of n objects. For example, using the techniques of this…

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Q: Theorem 3-5. If B cA, then (i) P(AnB ) = P(A) – P(B), (ii) P(B)<P(A)

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Q: 00 Eak, |a| < 1 k=2

A: ∑k=2∞ak,  a&lt;1

Q: 2 3 -1 Let A = 3 2 4 Find C32. 1 3 1 03 0 11 O 11

A: The given problem is to find the cofactor of the given matrix A. we have to find cofactor C32.

Q: Problem 7 a given ße (0, 1) and all n 2 no In the setting of Problem 6 (c), find a number no EN such…

A: From the problem 6c,

Q: 4. The generating function f(x) for the Fibonacci numbers 1, 1,2,3,5,8, 13,21, ... is given by OA.…

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Q: tion 20 +4)/2 = > aj,æ“ for || then 16a3 2 k-0

A: We have to find the value of the given condition

Q: BELL RINGER 1. V2k2 - 9 - x = 0 If k>0 and x=3 in the equation abové, what is k?

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Q: then Suppose A= G ) and B= ( ) and A is similar to B= M 'AM where M- as O a o, -0 Oba, -1 Oca, -3…

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Q: C( Jo (t)) = S s²+1 S (√√8² +1 S (Vs2+1) 3 S 1 O None of these

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Q: 1 1 1 A= 1 1 1 is similar to B= 1 3 3 1 1 1 1 1 1 13 3 Select one: O True O False

A: given,A = 111111111characteristic equation

Q: -det (A) =

A: We have to calculate the determinants of the 33 matrix and simplify this expression to find the…

Q: Problem 4. Consider the two following subsets of the real numbers n 2n + 1 S = :n € N CR, T = EN CR.…

A: Supremum of a set is defined as, " If the set of all upper bounds of a set S has a smallest member…

Q: 1. Solve the DE shown below using Reduction of Order; n = :2 y" - n²y = enx

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Q: Prove that 1 n² + a² Σ; π 2a coth na 1 202¹ where a > 0.

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Q: |P((X × Y) U (Y × X))| = |P((X × Y) U (X x Y))| can occur under 3 conditions, name 2, with…

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Q: If A = then det (A) 100 01 0 k 01 =

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Q: #3

A: We are going to use the formula

Q: Problem 4 Let V = P₁ (R). Let W₁ = {k(x + 1) | k ≤ R}, and let W₂ = R. Prove that W₁ + W₂ = V.

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Q: 2.16 Find the characteristics of each of the following PDES: a?u a?u (a) +3 + 2- - 0 ay? dx? дх ду

A: ** I believe we are being asked to classify the above given PDEs into elliptic hyperbolic and…

Q: 1-2 1 Given C= -2 4 -2 1 -2 1 OAC²(61-C)=0 OBC²-C+61=0 OC. None in the given list OD-61-C³=0…

A: The given matrix is: C=1-21-24-21-21 We have to determine the consequence of Cayley-Hamilton…

Q: . Complete the following two-column proof. Given: 3(x+1)=-x-9 Prove: x=-3

A: Given that the equation3(x+1)=-x-9 we have to find x=-3 two columns prove

Q: If Ô₁ and ₂ are unbiased estimators of the same parameter 0, what condition must be imposed on the…

A: The objective of the question is to find the conditions on the constants k1 and k2 such that the…

Q: Find Re (1+17i) 01 O-1 O None of the given O 17

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Q: Problem 5.6. Let ze C. (a) Prove that |1*| is single-valued if and only if Im z = 0. (b) Find a…

A: This is the problem of complex analysis.

Q: Q.1: Prove that A. A-1 = 1 where -1 1 2 A = 3 -1 1 %3D -1 3 4 (Hint: Use Gauss- Jorda

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Q: föllówing as True or False justifying answers: a) Let A = [1 0 k]and B =-1 2 -1. If ABAT = 0, then k…

A: (a) Given A=10k and B=102-12-1011 And ABAT=0 Finding AT: AT=10kT=10k

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.