(Solved): For a certain product, cost C and revenue R are given as follows, where x is the number of units so ...

For a certain product, cost $C$ and revenue $R$ are given as follows, where $x$ is the number of units sold in hundreds. Cost: $C^2=x^2+98\sqrt{x}+53$ Revenue: $898(x?3{)}^2+23R^2=20,700$ a. Find the marginal cost $\frac{\mathrm{dC}}{\mathrm{dx}}$ at $\mathrm{x}=3$. The marginal cost is estimated to be $\$$ (Do not round until the final answer. Then round to the nearest hundredth as needed.) b. Find the marginal revenue $\frac{dR}{dx}$ at $x=3$. The marginal revenue is estimated to be $\$$