In order to be able to remain latent in an infected live cell, hsv must be able to shut down what process?

Apoptosis of the infected cell.

Explanation:

Lytic and lysogenic are the two different types of viral life cycle. In the lysogenic part of life cycle the virus remain in the latent stage. In this stage, the genetic material of the virus gets attached with the host genetic material and gets replicated with the host genome. This stage is called prophase stage.

In lytic part, the viral gene transcribe and produce viral protein from which new phage particles are formed which do apoptosis of cell and gets released from the cell to infect other cells. So to be able to remain latent in the infected live cell HSV virus should shut down the apoptosis process of the infected cells.

sorry, but you do not have posted the diagram.

because they are eaten by the frog and the frog getseaten by the snake and the snake by the eagle