ind the point on the curve y = x^2 closest to the point (3, 4).

To find the point on the curve \( y = x^2 \) that is closest to the point \( (3, 4) \), we minimize the distance between a point on the curve and \( (3, 4) \).

### Step 1: Distance Formula
The distance \( D \) between a point \( (x, y) \) and \( (3, 4) \) is given by:
\[
D = \sqrt{(x - 3)^2 + (y - 

Find the point on the curve y = x^2 closest to the point (3, 4).

Learn how to find the point on the curve y = x^2 closest to the point (3, 4) by minimizing the distance. This problem covers key concepts in calculus, optimization, and quadratic functions, with step-by-step instructions. Suitable for students in Grades 11-12.

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Solution

Step 1: Distance Formula

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