Use the long division method to find the result when 4x³ – 26x² + 13x – 6 is r(x) divided by x – 6. If there is a remainder, express the result in the form q(x) + b(x) * -

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A: Ratio Test : Suppose we have the series ∑ an . Define,                         L = limn→∞…

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Q: 8. Use Green's Theorem to evaluate px*dx+xydy where C is the triangle with vertices (0,0), (1,0),…

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Q: اذا كانت f (x,y,z)=x -+y +xy*-3 فأن f,x تساوي.

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Q: Let P denote the plane in R3 containing the points (1, 2, 0), (3, 4, 1), and (−1, −2, 1). (a)  Find…

A: Given that P denote the plane in R3 containing the points (1,2,0) , (3,4,1) and (-1,-2,1) .

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Q: Q2. Find the second order partial derivative of F(x.y) = x³+ x°y°- 2y² w.r.t. x at (2,1).

A: Given:        Fx,y=x3+x2y3-2y2  taking first partial derivative with respect to x.…

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A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…