Handwriting is still taught in schools.

Question

asked 2021-05-03

Find \(\frac{dy}{dx}\) and \(\frac{d^2y}{dx^2}.x=e^t,y=te^{-t}\). For which values of t is the curve concave upward?

asked 2021-05-21

what is the squareroot of 2

asked 2021-05-21

A population like that of the United States with an age structure of roughly equal numbers in each of the age groups can be predicted to A) grow rapidly over a 30-year-period and then stabilize B) grow little for a generation and then grow rapidly C) fall slowly and steadily over many decades D) show slow and steady growth for some time into the future

asked 2021-05-03

Find the linear approximation of the function \(f(x) = \sqrt{1-x}\) at a = 0 and use it to approximate the numbers \(\sqrt{0.9}\) and \(\sqrt{0.99}\). (Round your answers to four decimal places.)

L(x) =

\(\sqrt{0.9} \approx\)

\(\sqrt{0.99} \approx\)

L(x) =

\(\sqrt{0.9} \approx\)

\(\sqrt{0.99} \approx\)