Consider the following. x = t4, y = In(t) (a) Eliminate the parameter to find a Cartesian equation of the curve.

Q: Find the points on the curve t² 16t+ 6, y X = = A. a horizontal tangent line B. a vertical tangent…

A: Given the curve is x=t2-16t+6  and y=t2+4t+3

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Q: The cartesian equation of the curve x = vt ,y= 1-t is: (a)y = 1 – x2, x 2 0 (b)y = 1 – x ,x > 0 (c)…

A: Given:-paametric equation:x=t y=1-tsince we have to find the cartesion equation

Q: Find the length (in units) of the curve y =    16 − x2between x = 0 and x = 2.

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Q: (ii) Find the length of the curve y = E* from x = 0 to x = 2. %3D

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Q: Sketch the two curves 7(t) = tî + t²j; t e [1, 5] and B(T) = e"î + e²r3; T E [0, In 5]. How are they…

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Q: Find the slopes of the tangent lines to the ellipse 4x +y = 40 at y=2. The smaller slope is The…

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Q: What is the slope at t = −2 ?

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Q: Find all the values of x at which the curve y = xe xe-6x? has stationary points. %3D Give your…

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