Final answer:
During the Cenozoic Era, mammals flourished following the dinosaur extinction, evolving into various niches. The first animals are believed to be from the Ediacaran biota, early multicellular life forms. Many species have gone extinct over Earth's history, and without specific data, pinpointing the period with the most species and those that are extinct is challenging.
Step-by-step explanation:
The Cenozoic Era: Flourishing of Mammals
During the Cenozoic Era, which began 65 million years ago and continues to the present, mammals were able to flourish following the extinction of the dinosaurs. Mammals evolved to fill diverse ecological niches, becoming the dominant animals on Earth. The Cenozoic is often divided into two periods: the Tertiary and the Quaternary. The Tertiary Period saw significant climate changes which, along with continental drift, shaped the evolution of life, while the Quaternary Period is known for its ice ages, leading to more extinctions including species like woolly mammoths.
In contrast, during the end of the Devonian period, there was a large extinction event that affected the diversity of marine invertebrates. However, the exact species that were most numerous at that time would require a specific graph or data set for an accurate answer.
The first animals to exist were likely from the Ediacaran biota, a group of early multicellular organisms that evolved from protists during the Ediacaran Period, between about 635 million to 543 million years ago. These include some of the earliest members of the animal kingdom and were first found in the Ediacaran hills of Southern Australia.
Regarding extinct animals, many species that have ever lived are now extinct, but without a specific graph or source, we cannot ascertain which ones mentioned in the question are extinct. Similarly, for surviving the longest, it is known that a bryozoan species has lived for approximately 85 million years, surviving from the early Cretaceous to the present.
As for the time period with the most species alive, again, without specific data mentioned in the question, it's challenging to provide an exact answer. Generally, however, we can say that diversity has seen a rise and fall over geological time, with significant rises through various periods, including the Cambrian explosion and the late-Triassic to the present.