Solve the Problem $y = \sqrt { x }$ Come to the Point

question 119

Multiple Choice

Solve the problem.
-How close does the curve $y = \sqrt { x }$ come to the point $( 3,0 )$ ? (Hint: If you minimize the square of the distance, you can avoid square roots.)

• A) The distance is minimized when \(x = 2\); the minimum distance is 3 units.
• B) The distance is minimized when \(x = - \frac { 1 } { 3 }\); the minimum distance is \(\sqrt { \frac { 11 } { 4 } }\) units.
• C) The distance is minimized when \(x = \frac { 5 } { 2 }\); the minimum distance is \(\sqrt { \frac { 11 } { 4 } }\) units.
• D) The distance is minimized when \(x = 5\); the minimum distance is 3 units.

Recognize the limitations and capabilities of NMR spectroscopy in detecting dynamic processes.

Demonstrate the ability to use NMR spectroscopy as a tool to investigate molecular dynamics and confirm the presence of specific atoms or functional groups.

Explain the influence of isotopic substitution on NMR spectra.

Understand the concept of nominal variables and their representation by indicator (dummy) variables.