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1 Pure Mathematics

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Question 682

A curve C C\,C has the parametric equations

x=2tx = 2^tx=2t, y=22t+1y = 2^{2t} + 1y=22t+1, where t∈Rt \in \mathbb{R}t∈R

Show that a Cartesian equation for C C\,C is y=x2+1y = x^2 + 1y=x2+1, and state the range of values of x x\,x for which C C\,C is defined.

[3]
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1 Pure Mathematics Questions

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