Homogeneous or not? State the degree of function if homogeneous. x^3-xy+y^3

Q: Q1. Choose the correct option: a) Let f(x) = |x]. Then at x = 0, the function f(x) is: %3D (A)…

A: This is a problem of limit and continuity parts. Please find the solution below.

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A: a)an=13n3+223n3+323n3+......+n23n3b)4-2n+1+3nn=1∞

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Q: Find f (x) if f'(x) = and f(1) = 25. O f(x)= 16x + 25 O f(x) = 16x +1 O f(x) = 16xl +9 O f(x) = 16x…

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A: Equation of tangent line of a function f(x) at (a,b) is given by, y-b= f'(a)(x-a)

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Q: Find the equation of the tangent line to the curve (a lemniscate) 2( +y) = 25(x - y) at the point (-…

A: 2(x2+y2)2=25(x2-y2)2(x4+y4+2x2y2)=25x2-25y22x4-25x2=-25y2-2y4-4x2y22x4-25x2=-25y2+2y4+4x2y2different…

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Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

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Q: 2. Rewrite the following quadratic function in standard form, identify the vertex: f(x) = 2x + 12x -…

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Q: 3. Rewrite the following equation for a circle in standard form, identify center and radius. a² + y?…

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Q: Find u v, u u, ||v||, (u v)v, and u (3v). u = (3, 11), v = = (-4, 3) %3D (a) u. v (b) (c) ||v||2 (d)…

A: Given: u=3, 11, v=-4, 3

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Q: /3x+10 4 Evaluate lim x- 2- x2- 4x +4 А. 1 В. 3/8 D. -00 E. None of these C.0 B O D E O A

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Q: Consider the following differential equation. (x2 + y2)y′ = y2 Let  f(x, y) =  y2/x2 + y2 .  Find…

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