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The task from the image is to find the equation of a tangent line to the graph of a given function that is parallel to a given line. Let's break down the general approach for each exercise (29-32):

1. **Given function**: \( f(x) \).
2. **Find the derivative**: \( f'(x) \), which gives the slope of the tangent line at any point.
3. **Given line**: We will compare the slope of this line to the derivative to find the point at which the slopes match, ensuring the tangent is parallel to the line.

For each exercise:
- **Step 1**: Differentiate \( f(x) \) to find \( f'(x) \).
- **Step 2**: Find the slope of the given line by rewriting it in slope-intercept form \( y = mx + b \) and identifying the slope \( m \).
- **Step 3**: Set \( f'(x) \) equal to the slope of the given line and solve for \( x \).
- **Step 4**: Once \( x \) is found, substitute it back into \( f(x) \) to find the corresponding \( y \)-coordinate, giving the point of tangency.
- **Step 5**: Use the point-slope form \( y - y_1 = m(x - x_1) \) to write the equation of the tangent line.

Do you want me to go through the solution of a specific exercise (e.g., 29)? Let me know if you'd like details for a particular one!

Find an equation of a tangent line to the graph of f(x) that is parallel to the given line.

Learn how to find the equation of a tangent line to the graph of a function f(x) that is parallel to a given line. This problem involves calculus concepts, including derivatives, tangent lines, and the condition for parallelism.

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