1. y = 2t2 – 7t3, x = 9t – t5

Q: Find two different parametric equations for the rectangular equation given. y=x* +3 (a) Substitute…

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Q: 1. Use the parametric equations x = sin(t) and y=sin^3(t) to answer parts a and b. a. Eliminate the…

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Q: QUESTION 1 Find the magnitude and direction of the vector acceleration when t=2 seconds for an…

A: Position vector:r(t)→ =t3, 1-t2Velocity vector:v(t)→ =r'(t)→ =3t2, -2tacceleration…

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: Let z =e^2x Tany find ((d^2 z)/(dxdy)) and ((d^2 z)/(dydx))

A: Given z = e2xtany

Q: Usethemethodofundeterminedcoefficientstofindthecompletesolutionsofthefollowingdifferential equations…

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Q: Write parametric equations for a(t) at (1,1) a(t) =

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Q: Find the transformation that makes the ellipse: (x^2 / a^2) + (y^2 / b^2) = 1, into a unit circle…

A: Find the transformation that makes the ellipse: (x^2 / a^2) + (y^2 / b^2) = 1, into a unit circle.

Q: Parameterize the following 1.) cos(z^4)+1y=1 (a surface) 2.) x^2 +5y^2=25 (a curve in R2) 3.)…

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Q: Convert x = = ln(2t) and y = 1² from parametric to rectangular form. 2

A: Given,  x=ln(2t) and y=12t2