Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT. (1 + 1 1 + In(x) + X) dx = (2 − In(x)) dy

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Q: 4. Find the area of the triangle whose vertices lie at A, B and C whose coordinates are (4,1), (6,2)…

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Q: 2 (2x² + y²) dx - xydy = 0 X2 O = C y² +4x²2 ○ In x + In (²4²) = C Oy - 1 = x - 3+ C .2 X O = C…

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Q: 2. A plane is defined by the equation 2x - 5y = 0. a. What is a normal vector to this plane? b.…

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Q: Find the derivative dy dx of the function y = sec +√4+ sin (4+x²) + x²)).

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Q: Solve the general solution of the equations in items 3-4. 2 (2x² + y²) dx - xydy = 0 C Oy-1=x-3+C…

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Q: (c) Given the following second-order differential equation 2d²y -+7y-3x² =5 dx² Find the general…

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Q: = that pv(x) de d] - f [ra] dx u(x) f (t) ) dt = f (v (x)) v' (x) − f (u (x)) u' (x)

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Q: 12. Find the area of the triangle bounded by the lines y=x+3, y=2x-1 and y=-3x+4

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Q: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

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