Let θ : R^4 → R defined by θ(u) = sup{u1|, |u4|}. Determine if θ is a norm, a seminorm or none of the two for R^4

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Q: Let Y = KL (3K²+7L4) 1/4 (a) Find RLK=YK/YL, the marginal rate of substitution of L for K. YK YL…

A: To Find:

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Q: utt - (rux + X(a,b) Utx)x - Byt = 0, x €]0, 1[, t > 0, Ytt - (Yx + X(a,b) Ytx)x+ But = 0, x €]0, 1[,…

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Q: In Problems 11-15, let R be the region bounded by the lines y=4-x, x= -2, and the x-axis. Each…

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Q: Show that an intersection of ideals of a ring R is again an ideal of R.

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Q: d) Determine the three culmroots of the complex number (-10 + j6)5 in both polar and Cartesian forms…

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A: The given statemnt is a TRUE statement. The given ODE is dydt+2ty=2te-2t.

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Q: 12. -6 000 -4 7 h -3

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Q: 2. Use power series to solve the differential equation. y" + 4xy + 2y = 0, y (0) = 1, y(0) = 2

A: The  given  equation is

Q: 1. Use quadrature formula f(x) dx = c f(0)+c, f(x) to approximate the value of the integral ¹ √f(x)…

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Q: Find the infinite sum, if it exists: −2+ (0.4) + (−0.08) + ·

A: The given infinte series isWe can rewrite this as

Q: a²u ²u ax² + y² = G(x) for 0<x<a, 0 <y<b If u(x, 0) = 0, u(x, b) = 0 for o < x <a u(0, y) = f(y),…

A: Given the partial differential equation, for .Subjected to  , for   , between .

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Q: In any ring R show that the set S={x∈R|r(x)⋂B≠(0) for all nonzero right ideals B or R} is an ideal…

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Q: 8. How large should n be so that the trapezoidal and Simpson's approximations to e³t dt are within…

A: As asked in the question,  we will solve only the question no. 8

Q: Problem 1: Gaussian Elimination Method 3x +2y-6z = 0 x-y+z=4 y+z=3

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Q: Find the absolute maxima and minima of f(x, y) on the given regions Of(x,y) = x² + y² on 0≤ y ≤2-2x}…

A: Here,.To Find: The absolute maxima and minima.

Q: Define a - b, if a = 9.k+2.j-2.i, b=5 k-8.j-10.i. à-b= Note! For example, give the vector Check…

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Q: (a) Suppose that (în) is a sequence of real numbers. Define what it means to say that the sequence…

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Q: y = 2x²-3x+1 find it's least value y and the x which gets the least y, using Python code, and…

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Q: Let x = V = -5 = -5 and y = Find the vector v = 5x - 3y and its additive inverse. 1.81 (18) 6 [:] 5

A: The given vectors  and .To find the vector  and its additive inverse.

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Q: Find the asymptotes of the hyperbola. (x + 1)²2 (y-5)² 64 36 =

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Q: x 4 four + Need Help? x 44 + Read It x 43 + Watch It x 4-1

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A: A scientist studied the migration patterns of two types of whales.. The humpback whales traveled…

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Q: Find the generalized union and intersection: 1. A = (0,1)

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