Barrons AP Calculus

(D)

(E)

(A)

(B)

(C)

(D)

(E)

I.

II.

III.

(A)

(B)

(C)

(D)

(E)

105. 
     

     (A)
     (B)
     (C)
     (D)
     (E)

     
     


106. 
     

(A)

(C)

(B)

constant    in  direction   only

constant    in  neither magnitude   nor direction

Suppose we  plot    a   particular  solution    of      from    initial point   (0, 1)

using   Euler’s method. After   one step    of  size    Δx  =   0.1,    how big is  the

error?

0.09

1.09

1.49

1.90

2.65

We  use the first   three   terms   to  estimate     .  Which   of  the following

statements  is  (are)   true?

The estimate    is  0.7.

The estimate    is  too low.

The estimate    is  off by  less    than    0.1.

I   only

III only

I   and II

I   and III

I,  II, and III

Which   of  these   diverges?

Find    the radius  of  convergence of  .

0

1