Consider the following. et – 6, y = e2t (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. У У 250- 250 200 200 150 150 100 100- 5아 х х -10 -5 10 -10 -5 10 У У 250- 250 200 200 150 150 100 100 50아 х х -10 -5 10 -10 -5 5 10

Q: ) Find the orthogonal trajectory of the family of curve given by y = In(r³ + b)

A: First formulate a differential equation to eliminate the parameter b . Then replace (dy/dx) by…

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Q: Consider the following. x = et - 4, y = e2t (a) Eliminate the parameter to find a Cartesian equation…

A: To find The cartesian equation of the curve by eliminating the parameter

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Q: 19. х 3D In t, у %3D Vt, t>1 y = /t, t>1 t> 1

A: a) x =lnt y= sqrt (t) y^2=t e^x=  t e^x = y^2 e^(x/2) = y

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Q: 7. Eliminate the parameter to find a Cartesian equation of the curve: x = Vt, y = 5 – 3t

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A: ...............when  ...............when  .

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