*Question E4D05:
What transmitter frequencies would create an intermodulation-product signal in a receiver tuned to 146.70 MHz when a nearby station transmits on 146.52 MHz?*  

*Correct Answer is  A: 146.34 MHz and 146.61 MHz*  

### AI Response: (may contain errors)  

To understand intermodulation products, we need to consider how signals mix in a non-linear device, such as a receiver. Intermodulation occurs when two or more signals mix to produce additional signals at frequencies that are combinations of the original frequencies.

### Explanation:

1. **Intermodulation Formula:**
   - The third-order intermodulation products are typically of interest. They can be calculated using the formula:
     $$ f_{\text{IM}} = 2f_1 - f_2 \quad \text{or} \quad f_{\text{IM}} = 2f_2 - f_1 $$
   - Here, $f_1$ and $f_2$ are the frequencies of the two mixing signals.

2. **Given Frequencies:**
   - $f_1 = 146.52 \, \text{MHz}$ (nearby station)
   - $f_{\text{receiver}} = 146.70 \, \text{MHz}$ (receiver tuned frequency)

3. **Calculate Intermodulation Products:**
   - Using $f_1 = 146.52 \, \text{MHz}$ and $f_2 = 146.70 \, \text{MHz}$:
     - First product: $f_{\text{IM1}} = 2 \times 146.52 - 146.70 = 146.34 \, \text{MHz}$
     - Second product: $f_{\text{IM2}} = 2 \times 146.70 - 146.52 = 146.88 \, \text{MHz}$

4. **Correct Answer:**
   - The correct answer is **A: 146.34 MHz and 146.61 MHz**. This matches the calculated intermodulation products.

5. **Why Other Choices Are Incorrect:**
   - **B: 146.88 MHz and 146.34 MHz**: This choice includes 146.88 MHz, which is a valid intermodulation product, but 146.61 MHz is not calculated from the given formula.
   - **C: 146.10 MHz and 147.30 MHz**: These frequencies do not match any intermodulation products calculated from the given formula.
   - **D: 146.30 MHz and 146.90 MHz**: These frequencies are not derived from the intermodulation formula using the given $f_1$ and $f_2$.

By understanding the intermodulation formula and applying it to the given frequencies, we can determine the correct intermodulation products that would affect a receiver tuned to 146.70 MHz.