43. Eliminate the parameter to find a Cartesian equation of the curve. x = e^t - 1, y = e^{2t}. a. y = ln(x+1) b. y = (x+1)^2 c. y = e^{2x+1} d. y = (x-1)^2 44. Find the length of the curve r = 7 cos? for 0 ? ? ? 3?/4. a. 21/4 b. 21?/4 c. ?/4 d. 21?/11 Choice a. Choice b. Choice c. Choice d.
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To do this, we can solve for t in one of the equations and then substitute it into the other equation. Let's solve for t in the x equation: x = et - 1 x + 1 = et t = ln(x + 1) Now, substitute this expression for t into the y equation: Show more…
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