Use Green's Theorem to find the work done by the force field F(x, y) Vyi + Væj on a particle that moves along the stated path. The particle moves counterclockwise one time around the closed curve given by the equations y 0, x = 7, and y 9 NOTE: Enter the exact answer. 2. 7 V7 W = 15

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A: A multiple choice test that has 10 questions. Each question has 7 answer choices with one correct…

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Q: 1. Find the solution to the system 4x - Зу +3z %3D 0 2х — Зу + 2z%3 0 бх — 12у + 7z 3D0.

A: “Since you have asked multiple Questions, we will solve the first question for you. If you want any…

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Q: 5. [6.1] If vector ā reaches from the origin to point (5, –7), determine the magnitude of ā.

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Q: a) Find a polynomial P(x)= a + a₁x+0₂2² +03x³ +ay 20² +a5 205 of degree 5 such that as = 1, and…

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Q: 37. If R is the total resistance of three resistors, connected in par- allel, with resistances R1,…

A: If R is the total resistance of three resistors, connected in parallel, with resistances R1, R2, R3,…

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A: Given, f(x)=sin^2 (x)

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Q: Consider the double integral %3D (a+ 2)? + y = 4 Where R is the region of Xy given x² + y? = 4 find…

A: Given problem:-

Q: Find the arc length L of the graph of r(t). r(1) = t³ i+ t j+V6r? k, 2 <t< 5 k, 2 <t < 5 L = i

A: Given : r(t) = t3 i + t j + √6 t2/2 k 2 ≤ t ≤ 5 Now, r'(t) = 3t2 i + j + √6 t k Arc Length :

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A: Using integration

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Q: B. Identify the function, whose derivative is defined below: dy = lim (x + h)? – x? dx h→0 h А. f(x)…

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Q: Use local linear approximation to estimate In(1.08)

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A: To calculate ddtr1t·r2t and ddtr1t×r2t first by differentiating the product directly and then by…

Q: Ex: Show that if v, u, w are any vectors, then (H.W.) ux (v x w) + v x (w x u) +w x (u x v) = 0.

A: Dot Product Property :- a.b = b.a = a*b*cosθ

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Q: Evaluate the definite integral. Sols i + e*j+ t k at O e6 - 1 i+ 6 1 k i- i- (e 6 1 6 2

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: 10) Given f'(x) = 3x+ 2x + 1 and f(1) 4, determine ƒ(x). %3D %3D

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