Determine the smallest b>0 such that the BVP 4y” — 36y' = 2 tanh(x), g(0)=0,ý (b) = 6 does not have a unique solution.

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Q: (b) 3x + 2 in Z,[x]

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Q: (a) Suppose a, de N. Define what it means to say that d divides a. (b) Find all natural numbers d…

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Q: 2. Let T: R³ R¹; T € 1 + 1₂ +13 21-22 +33 be a linear transformation. -3x2 + x3 3x₁ + 4x3 Find the…

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Q: 1. 2. 3. 4. x²-2x-3 x-2 x²-x+2 x-3 x² +6 x-2 x²+3x+5 x+1

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Q: 3. Show that if I aij = 1, then if A= (orj), entrees of of then the sum of vector V Av equals the…

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Q: Find the coordinates of the centroid of the area of the region bounded by y =4x-x^(2) and…

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Q: General quartic Show that the general quartic (fourth-degree) polynomial f(x) = x* + ax³ + bx? + cx…

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Q: Question 4. Solve for y(t) given that y" - 16y=32t + 16 subject to y(0) = -6 and y'(0) = 2. (i)…

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Q: (1) Let G := S4. Then G naturally acts on A := {1, 2, 3, 4}. Let X := { ƒ: A → A} be the set of maps…

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Q: Circulation in a plane A circle C in the plane x + y + z = 8 has a radius of 4 and center (2, 3, 3).…

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Q: 3. 4. x² +6 x-2 x²+3x+5 x+1

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Q: Question2. A periodic function of period 27 is defined for 0 ≤ x ≤ 2π by (0 ≤ x ≤ 1/n) 글자 ( n < x≤n)…

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Q: (a) Solve the following equations: (1) 5--125

A: The digits in question (ii) of (a) is not clear. So I solve (i) of (a).

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Q: Let V be a set of vectors in R² with the operations defined as follows: (a,b)+(c,d)=(c-a,b+2d)…

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Q: Check whether the IVP X y' = y(0) = 4. y-4' satisfies the hypotheses of the Picard-Lindelöf theorem.

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Q: You are given the following inhomogeneous system of first-order differential equations for x(t) and…

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Q: The triangular plate shown in Figure has a constant density ofd = 3 g/cm2.(a) Find the plate’s…

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Q: Indicate whether the following functions are Riemann integrable or not on [0,1]. (i) f(x)=x-2 (ii)…

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Q: 3. The level of impurity (in percent) in the product of a certain chemical process is a random…

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Q: (a) Check whether the IVP v=y=49(0)=4. Y satisfies the hypotheses of the Picard-Lindelöf theorem.…

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Q: Compute the gradient of function 1.-f(x) = (Ax + b)¹ C(Dx + e) where x E R", A E Rmxk, C € Rmxn. and…

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Q: Determine the smallest b>0 such that the BVP 2y" — 18y = tanh(x), y(0) = 0, y' (b) = 3, does not…

A: As per the question we are given an IVP and we have to find the smallest value of the parameter b…

Q: ¯'x' = 47] [²] + [²³=_=+ e 4 t ] 3 — e4t- -te4t 2 L6 3.

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Q: Simplify. Write your answers without exponents. (+) ³ 32 81 3 Simplify. 0 11 11 0 믐 X 27s12,11…

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Q: x+2y+3z=12x+3y+z=2 3x+y+3z=3 finde the inverse of given equation

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Q: Use upper and lower sums to approximate the area of the region using the given number of…

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Q: Q2 The population of a certain species of mole is divided into three age classes each lasting one…

A: The evolution of the population is described by the age structured linear model xt+1=Lxt, where L is…