se Green's theorem to find the work done by the force F(x, y) = x(x + y) i + xy²j in moving a particle om the origin along the x-axis to (5, 0), then along the line segment to (0, 5), and then back to the origin ong the y-axis. Need Help? Read It Watch It

Q: 15. Sketch the region enclosed by the lines x = 3 and y = 1 and the curve xy = 9, and find its area.

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

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A:

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A: Given,C1: r = 1 ,      C2 : r = cos2θand  C3 : r =2cos2θ

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Q: Which of the following statements must be true if AGHI ~ AJRL? Sle the apply- H K G J 7.

A:

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Q: Use integration by parts to show that | (x) dx = xf(x) –J xf(x) dx

A: For (a), ∫f(x) dx=∫1×f(x) dxBy integration by parts,=∫1 dxf(x)-∫∫1dx×ddxf(x) dx=x f(x)-∫xf'(x) dx

Q: 81. What is wrong with the following calculation? 0 =0 +0 + 0 + ... = (1 – 1) + (1 – 1) + (1 – 1) +…

A: Given a calculation.

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Q: A natural cubic spline S for a function f i defined by: x3 x2 - 12 4 3. S(x) = x3 3x2 + ах 4 17 + ax…

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Q: 5. Find the maximum and minimum values of the function f(x) = x e-2a on the interval [0, 1].

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A: Explanation of the answer is as follows

Q: 19. For what value of h will the line y =-2x +h be tangent to the parabola y = 3x +4x-1? (4T) b)…

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Q: Find the average value of f(x) = ²√√92+z³ on the interval [0,2]. farg Report all answers accurate to…

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A: It is analogous to consider the sample mean as the center of the balance point of our data.

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A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

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