Show that F is conservative and find a function f such that F= Vf, and use this result to evaluate F dr where C is any path from A(x. Vo) to B(x1, y1). F(x, y)= (6-8yli+(4x³y-12rylj: A(1, 2) and B(2, 2) o SFér=-12 O [F dr=-96 F-dr=-274

Q: Find the decivative of thne function f(xiy)=x²+xy+y? at the point (5,4) Po the direction 3n which…

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Q: 3. Find the fixed point(s) of f : [1, 0) → [2, 0) defined by f(x) = vx² + x.

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A: Given Data: Let us consider the given data, Fx,y,z=6x sin y +10xz3i+3x2 cos y -4yeyz-2y2zeyzj…

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Q: 5. Express the given function using unit step function: * [t f (t) = 0st<4 2 , t24 O A.) f (t) = t…

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Q: Find the linearization of f(x, y) = V1+x - y? at (4, 1), and then use it o approximate f(3.96,…

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Q: Compute the discriminant D(x, y) of the function. ƒ(x, y) = x³ + y4 − 6x − 2y² + 2

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Q: For the function f(x,y,z) = In (8x + 7y+ 10z), find fy, fy, and f,. fx fy =D Iz =

A: given,      fx,y,z=log8x+7y+10z

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Q: Determine whether F is conservative. If so, find a functionf such that F= Vf. F(x, y) = (16z-24xy…

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Q: Draw the domain of the function: f (x, y) = Vx² + 9y² – 36

A: Please refer the attached image for complete solution. THANKYOU.

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Q: Consider F and C below. F(x, y, z) = yzexZi + e²j + xye*²k, C: r(t) = (2 + 4)i + (t² – 1)j + (t² -…

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Q: he function f(x)=3x2+2x

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Q: Consider the function f(x, y) = x²y+ y³ – 75y. f has ? v at (0, 0). f has ? at (0, –5). f has ? v at…

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