Consider the tangent line to the ellipse x 2 a2 1 y2 b2 1 at a point s p, qd in the first quadrant. (a) Show that the tangent line has x-intercept a2 yp and y-intercept b2 yq. (b) Show that the portion of the tangent line cut off by the coordinate axes has minimum length a 1 b. (c) Show that the triangle formed by the tangent line and the coordinate axes has minimum area ab.

CH 1010: General Chemistry Dr. Ava Kreider-Mueller FINAL EXAM CHAPTER 1: Key Terms- Steps of the Scientific Method: 1. Ask a Question 2. Background Research on the topic 3. Create a Hypothesis 4. Test your Hypothesis 5. Analyze your data, and draw a conclusion 6. Report all findings, check if hypothesis was correct Hypothesis: a testable explanation Scientific Theory: a explanation which has been repeated tested Scientific Law: a statement of a fundamental principle that can be applied to a topic. M