Let F = (x'e* +2.xy - 2y)i+(cos y+x² +3x)j and let C be the ellipse with equation (2x - 2y) +(x+ y)° = 9. Find the work (circulation) associated with F along the curve C traversed counterclockwise. [Hint: You may have to invoke two important theorems to complete this problem.]

Q: 2. For the equation 2x² + 2xy + 2y²-2x-10y+11= 0, eliminate the xy term by rotating the coordinate…

A: Given: The given equation of the conic is 2x2+2xy+2y2-2x-10y+11=0.                      ...........1…

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Q: 260. Find the intersection point of the x-axis with the line of parametric equations x= 10 +t,…

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Q: A watermelon is launched by a catapult with an initial velocity of 89 feet per second and an angle…

A: x(t)=(89cos61∘)t, y(t)=−16t2 +(89sin61∘)t+9.    comparing with height equation; y(t)=−1/2(g)t2 +(v0…

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Q: (a) Let f(x, y) = sin(y?). Compute fry and fyr and show that they are equal to each other. (b) Let…

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Q: The slope of the tangent line to the graph of x + y + xy = 3 at (1, 1) is Blank 1. Blank 1 Add your…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 1. Express the given parametric curve by an equation in x and (a) x = 8t²-5, y = 2t - 1, for t€…

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Q: Suppose parametric equations for the line segment between (4, 2) and (4, - 2) have the form: [ x(t)…

A: The line segment between the points (4, 2) and (4, -2) has parametric equations,It is also given…

Q: Let Q = 4x2 + 6xy+ 4y? . The points on the curve Q = 7 which are closest to the origin are: %3D %3D…

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Q: 17. Let L be the line determined by the equation r(t) = (2 + 7t, 3 – 5t, 2t), –∞ < t < . (a) Give…

A: given equation is                                              r(t)=2+7t, 3-5t, 2t, -∞&lt;t&lt;∞ ℒ…

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