Can you help me to solve the third problem Given the function \( f(x) = 3 + 2x^2 \), calculate the following values:\[ f(a) = \boxed{3 + 2a^2} \]\[ f(a + h) = \boxed{3 + 2a^2 + 4ah + 2h^2} \]\[ \frac{f(a + h) - f(a)}{h} = \boxed{} \]**Explanation:**This exercise involves finding expressions related to the function \( f(x) = 3 + 2x^2 \). You are tasked with substituting values into the function and simplifying them to derive the difference quotient, helping to understand concepts such as derivatives in calculus.1. **\( f(a) \):** This is the value of the function \( f(x) \) when \( x = a \).2. **\( f(a + h) \):** This expression represents the value of \( f(x) \) when \( x = a + h \), expanded using the binomial theorem.3. **Difference Quotient:** The expression \( \frac{f(a + h) - f(a)}{h} \) is typically simplified to find the derivative of the function, which represents the slope of the tangent line to the curve at \( x = a \).

Name: Can you help me to solve the third problem Given the function \( f(x)
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: Can you help me to solve the third problem Given the function \( f(x) = 3 + 2x^2 \), calculate the following values:\[ f(a) = \boxed{3 + 2a^2} \]\[ f(a + h) = \boxed{3 + 2a^2 + 4ah + 2h^2} \]\[ \frac{f(a + h) - f(a)}{h} = \boxed{} \]**Explanation:**T