Whateverchan
New member
- Joined
- Oct 18, 2013
- Messages
- 13
Your files are not readable - too small. Let me say a little about linearization, using calculus. The intent is to make a straight line approximation to a portion of a non-linear equation. If you have a nonlinear f(x), and you evaluate the function AND its first derivative at x=a, thenCan someone explain to me how to do these two problems? My idiot teacher couldn't explain a single thing, the textbook instructed me some nonsense and told me to use a calculator, other sources on the internet were too complicated. I don't even know where to start. :-x
View attachment 3330
The text in the graph appears to be as follows.
Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. Round your interval-notation answer to three decimal places.
. . . . .\(\displaystyle \sqrt[4]{1\, +\, 2x}\, \approx\, 1\, +\, \frac{1}{2}x\)
Compute \(\displaystyle \Delta\, y\) and dy for the given values of x and dx = \(\displaystyle \Delta\, x\). Round your answer to three decimal places.
. . . . .\(\displaystyle y\, =\, \sqrt{x},\, x\, =\, 1,\, \Delta\, x\, =\, 1\)