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Consider the following two curves in the $x-y$ plane 

  • $y=x^3 + x^2 +5$
  • $y=x^2 + x + 5$

Which of the following statements is true for $-2 \leq z \leq 2$?

  1. The two curves intersect once
  2. The two curves intersect twice
  3. The two curves do not intersect
  4. The two curves intersect thrice
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