The parametric form of the solutions of the PDES -y zz +x zy = 0, :(s, s²) = s³ (s, s*) %3D %3D z (a, 1) = s cost +a sin t, y (s. t) = sint + cont, (a,) = None r (e, 1) = cost sin t, v(s,t) =a sent cont, a (s, 1) %3! (a.) = a cont - at ain t, v(,) = a sint - cont, s (s, t)- is

Q: Find the parametric equations of normal line to the surface given by f(x,y) = tan Vx2 + y² at the…

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Q: differenetiate parametrically to find dy/dx in terms of t:  x=1/t+1 , y=2t^2-4

A: please use according to form i did solved two equation because your question is not write clear that…

Q: Please do 4

A: 4. (a) To Evaluate: ∫C​x ds, where C is the arc of the parabola y=x2 from (0,0) to (1,1). Let x=t,…

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Q: 1. y = 2t2 – 7t3, x = 9t – t5

A: dy/dx and d2y/dx2  are find in next step dy/dx = (dy/dt) /(dx/dt)

Q: dz where C denotes a 22 Contour C=2e' with a deleted onigin. (2#0)

A: For the solution of the problem follow the next step.

Q: 4) Find dy given: y (1-x)(1+ x )(1+ x³ )(1+x*) dx d'y given: y= (5x -3X7x+x) 5) Find dx

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Q: a) A curve has equation e3x. i) Find dx — e2x e3ye-2y = 3 in terms of x and y. ii) Find the equation…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: Given that x=(v0cos(α))t   and y=(v0sin(α))t-12gt2 , g=9.8m/s2

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A: xt=2t etyt=2t+etAt  P 0,1,  x=0,   y=1  ∴x=0⇒2t et=0             ⇒t=0   dxdt=ddt2t et= 2 t…

Q: 4) Evaluate (¹ + tany)dx + xsec²ydy where C is the curve Y=X²-1 from (1,0) to (2, 3)

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Q: The parametric form of the solutions of the PDES -y žz + x zy = 0 , z (s, s²) is z(s, 1) = s cost…

A: Second option is correct

Q: 4. Consider the parametric curve x = cost, y = sin cost, te [-T, π]. (a) Show that (0,0) is a point…

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