Find the directional derivative of the function at the given point in the direction of the vector v. x² + y²² (2, 1), v = (3, 5) Duf(2, 1) = f(x, y) =

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Q: the surface area E = 9(x1 4₁2)

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Q: ( Ἡ 1 (3x)"

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Q: a (t) = (t, sint, cost) (d) Compute equations of osculating normal and rectifying planes at t = 0.

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Q: To show this, let f, g be polynomials in R[x] such that g-f = (x-3)h for some polynomial h in R[x].…

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Q: 1. Prove that if S is a subring of a ring R then the following are true: (a) Os = OR (b) if 1R € S,…

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Q: 1. Find homogenous solution of the following S.L.D.E using Cramer's rule.

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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Q: Sketch a graph of the parametric curve defined by:  x = t^2 and y = t^3 - 4t  for − 2 ≤ t ≤ 2.…

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Q: 2 3 For A = 0 -1 0 orthogonal matrix Q. V₁ = Ex: 5 1 -2, find the orthogonal vectors V₁, V2 and V3…

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Q: T4.4) (4) Consider the following piecewise function f(x)= x+1, 2+ lnr, T³ - 1, x ≤ 1 1 e (a) Find…

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Q: 1 हुण : Find Fourie trans form? Ut) = 5 rect(134) & Azt-2) √201] (2) F2C+) Cos3)7 الموضوع : ar

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Q: Draw a switching circuit that represents the symbolic statement. (~pv q) ^ (rv ~s) Choose the…

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Q: wietni let 2,4 h(x,y)= (1+2+0 40 if (xy) +(0,0) 8 "+69⁰ o if (x,y) = (0,0) exiyo ah 1) Show that 3h…

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Q: Let f(x, y, z) = 2xy sin (yz) and F = Vf. Evaluate F. dr, where Cis any path from (0, 0, 0) to (3,…

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Q: B3.3.4.1f) (1) Use limit laws and SL. 1 - SL. 8 for sequences, to evaluate the following limits: cos…

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Q: (1) Use these (₁) (2) (us . 1 1 D and () 1 1 J Draw by ( (b) (vi) 0 1 I 1 0 1 1 I the (i) ↑ 1 1 1…

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Q: X Q₁) Use Taylor's series method to solve the following differential equations (iii) y'=x+y²;…

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Q: 1. Solve the following system of equations using the Gauss elimination method: 2x₁ + x₂x3 = 1 x₁ +…

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Q: Find the rule for the geometric sequence given below. 3an - 1 and ao an = 5.

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Q: 1 2 Perform the indicated operations when A = 0 -1 A(I + A) = =

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