If `f(x)=3x^2+15 x+5,`then the approximate value of `f (3. 02)`is
(A) 47.66
(B) 57.66
(C) 67.66
(D) 77.66

Explanation

To find the approximate value of \( f(3.02) \) for the function \( f(x) = 3x^2 + 15x + 5 \), we can use the concept of derivatives to estimate the change in the function value.

### Step 1: Calculate \( f(3) \)
First, we need to find the value of \( f(3) \).

\[ f(3) = 3(3^2) + 15(3) + 5 \]
...