For the initial value problem, compute the first two approximations u1 and u2 given by Euler’s method using the given time step. Show all work on scratch paper.y'(t) = 6y, y(0) = 2; △t = 0.5

Find the series’ radius of convergence. Show all work on scratch paper.

Find the Taylor polynomial of order 3 generated by f at a. Show all work on scratch paper.f(x) = x3, a = 4

Find the limit of the sequence or determine that the limit does not exist. Show all work on scratch paper.an = ln(7n + 8) – ln(3n + 4)

Find the first four nonzero terms in the Maclaurin series for the function. Show all work on scratch paper.f(x) = e2x

Find the general solution of the equation. Express the solution explicitly as a function of the independent variable. Show all work on scratch paper.

Find the area of the surface generated when the given curve is revolved about the x-axis. You can use your calculator to integrate if you want. Show all work on scratch paper.y = on

Evaluate the improper integral or state that it is divergent. Show all work on scratch paper.

From the Youtube video in Chapter 1 (and from your text) regarding competitive vs. noncompetitive inhibition: Match the terms to the meaning.:  

A nurse is unable to palpate a client’s dorsalis or posterior tibialis pulses. What is the nurse’s most appropriate action?