Question
. Estimate $\sqrt{16.2}$ using the linearization $L(x)$ of $f(x)=\sqrt{x}$ at $a=16$. Plot $f(x)$ and $L(x)$ on the same set of axes and determine whether the estimate is too large or too small.
Your feedback will help us improve your experience
Robert Leedy and 83 other educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Recommended Videos
Estimate $\sqrt{16.2}$ using the linearization $L(x)$ of $f(x)=\sqrt{x}$ at $a=16 .$ Plot $f(x)$ and $L(x)$ on the same set of axes and determine whether the estimate is too large or too small.
APPLICATIONS OF THE DERIVATIVE
Linear Approximation and Applications
Estimate $\sqrt{16.2}$ using the linearization $L(x)$ of $f(x)=\sqrt{x}$ at $a=16$. Plot $f$ and $L$ on the same set of axes and from the plot indicate whether the estimate is greater than or less than the actual value.
Applications of the Derivative
Estimate 1/ $\sqrt{15}$ using a suitable linearization of $f(x)=$ 1$/ \sqrt{x} .$ Plot $f(x)$ and $L(x)$ on the same set of axes and determine whether the estimate is too large or too small. Use a calculator to com- pute the percentage error.
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD