Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: Sa(t) = 4t2 ly(t) = - 7+2t The resulting equation can be written as x = Preview

Q: Find dy/dx and d²y/dx², and find the slope and concavity (if possible) at the given value of the…

A: x=4cosθ and y=4sinθ We have to find: (1) dydx (2) d2ydx2 (3) Slope at point θ=π4 (4) Concavity at…

Q: Find dy/dx and d²y/dx2, and find the slope and concavity (if possible) at the given value of the…

A: We are given the parametric equations: x=6cosθy=6sinθ We know that the derivative of  cosa=-sina and…

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Q: 15sin (t), y 8cos (t) 3. Eliminate the parameter to find a Cartesian equation of the curve: x =

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Q: Find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value of the…

A: find the slope and concavity (if possible) at the given value of the parameter.

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for Sz(t) =…

A: Explanation of the answer is as follows

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: S¤(t) = – 5t2 ly(t)…

A: Given query is to find the equation in Cartesian form.

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Q: 1. For the parametric equations: x = 4t3, y= 2 +60t – 8t?, find: a) All values of t at which the…

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A: Due to guidelines, I'll be solving first three subparts and giving hints to fourth subpart.

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for Sa(t)…

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Q: Find the equation of the curve at any point  P(x,y) of a curve the subtangent equals -1/x

A: Given that the subtangent equals -1x. Then we get, tan θ2=-1x⇒tan θ=2 tan θ21-tan2 θ2⇒tan…

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for (x(t) =…

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Q: Consider the following. x = et, y=e-2t (a) Eliminate the parameter to find a Cartesian equation of…

A: Given  x=et  ,  y=e-2t   Then we can find out cartesian curve by eliminating parameter 't' .

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for Sa(t) =…

A: We have to eliminate the parameter t to find a simplified cartesian equation of the form y = mx+b.…

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: 1. Find and Y and simplify whenever possible. d²y dx dx2 Given parametric equations: x = t3 +1, y =…

A: Since, you have asked multiple questions, we will solve the first question as per company…

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Q: Find dy/dx and d'y/dx, and find the slope and concavity (if possible) at the given value of the…

A: slope is defined at dy/dxand concavity is defined at d2ydx2