1. **State the problem:** We need to evaluate the function $F(s) = \frac{1}{(s^2+1)(s^2+4)}$ at $s=1$. 2. **Write the formula:** The function is given as $$F(s) = \frac{1}{(s^2+1)(s^2+4)}$$ 3. **Substitute $s=1$ into the function:** $$F(1) = \frac{1}{(1^2+1)(1^2+4)}$$ 4. **Calculate the values inside the parentheses:** $$1^2 = 1$$ So, $$(1+1) = 2$$ $$(1+4) = 5$$ 5. **Multiply the terms in the denominator:** $$2 \times 5 = 10$$ 6. **Write the final value:** $$F(1) = \frac{1}{10}$$ **Answer:** $$F(1) = \frac{1}{10}$$