If F (2x + y)i + (3y 4x)j evaluate o. F.dr around a triangle ABC in the xy-plane with A(0. 0). B(2. 0), C(2, 1). (a) in the counterclockwise direction (b) what is the value in the opposite direction?

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A: Suppose y+x2=k is any function, where k is constant. Then, in the new translated function…

Q: Graph the function. 10) y = sec (2x - )+ 2 A) B) 3n x 2 C) D) Зл х 2.

A: graph the function

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A: The detailed solution is given below Thank you

Q: Show that the into R² defined by T₁ = ( 9₁ ₂1₂) — 172,9₁) and T2: (F₁, F₂) → (Y¶₁₂ Y {₂) : are…

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Q: Consider F = (5æ³y°, 10x7 + 3y±). Then div(F) = Ar²y" + By³. What is the value of A? (no answer)

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Q: (x- 2y) dA on the parallelogram P bounded by y = 5 – 2x, y = 7- 2x, y = 3x – 6, and y = 3x + 2. Use…

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Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

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Q: (c) If f is a C² scalar function, then V × (Vƒ) = 0. True False (d) The lines 1₁ (t) = (1 − t, 1+ t,…

A: (C) If c is scalar function Means      curl(grad ƒ)  is = 0   Therefore correct ans is  True

Q: In a regression analysis involving 30 observations, the following estimated regression equation was…

A: Solution In a regression analysis involving 30 observations, the following estimated regression…

Q: Calculate (x+y+z) ds

A: In this question, we evaluate the surface integral for the given intersection of the curves.

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Q: Find the cosine of the angle between the planes -3x - 4y – 3z = 3 and the plane - 1x - 3y + 3z = -2.

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Q: Exercise #3: Which of the following is a point where; (1) (0,7) (2) (-1,-1) (3) (-2,4) (4) (2,10) 7…

A: Please see the below picture for detailed solution.

Q: 5. Suppose that you were standing at the point (-1,2, 39) on the graph of f(1,y) = r -3ry+4y. If you…

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Q: What is the direction perpendicular to the plane containing F₁ and F₂? F₁ = (11î+ 4ĵ- k) N F₂ =…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 5. Let f(t) = 2t + cost-2. The positions at time t≥ 0 of a particle moving along a coordinate line…

A: Hdhd ggg ghhhhhh hhhh ghhh0222222333 mmmm

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Q: Find the distance d between the two parallel planes x + 2y 2z = −2 and x + 2y = 2z = 1.

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Q: Find x such that the points A(x, 5), B(2, 3), and C(4, - 5) are collinear.

A: Given. A(x,5), B(2,3) and C(4,-5) are collinear.

Q: If z = 1 - 2j and w= 2 - 3j, express 2. w in the form a + bj where a and b are real.

A: Given  z=1−2jw=2−3j