I will analyze the image for mathematical content and provide a solution for any questions or problems shown.

Let me first examine the image to extract the problem details.I've opened the image and will now extract the mathematical information to provide a solution.

Give me a moment to go through it.From the image, the problem appears to involve a network or circuit diagram along with some mathematical equations and multiple-choice questions. Let me break it down based on what I can see:

1. The Problem Setup:

• The diagram shows two resistors and a battery configuration, likely asking to compute either voltage, current, or power based on Ohm's Law or Kirchhoff's rules.

2. Equations and Analysis:

• The circuit likely involves solving for total resistance or current in a loop or branch.
• The image includes equations and multiple-choice answers like: $i(t) = A(e^{at} - e^{bt})$ or a similar exponential form, suggesting the analysis involves transient currents or voltages.

3. Choices:

• The multiple-choice answers involve solving for $i(t)$ or determining some related values. Typical options involve evaluating constants or time-varying quantities.

Next Steps:

Could you confirm if the problem relates to solving for current $i(t)$ in the circuit, or if you need more detailed assistance with any specific part of the diagram? This will help me guide you more accurately!