Exam One Info

Question 1

Log linear plot

Answer 1

for exponentials take log of y= C•B^x

Question 2

Log log plot

Answer 2

Log x and y, for power functions., y = CX^2

Question 3

Exponential decay/growth equation

Answer 3

N(t) = N(0) x R^t R= rate of doubling N(0) = initial pop t = time unit

Question 5

Slope formula for exponentials

Answer 5

Log ys over Xs slope= under x

Question 6

Slope formula for power functions

Answer 6

Log ys over log xs slope = exponent

Question 7

Squeeze theroem

Answer 7

Find lim x with y<x<z so find the lim of both sides and find x

Question 8

Intermediate value theroem

Answer 8

Must have continuous function. Solution exists if there are different signs with the values of x. 0 if they add to 0

Question 9

DNE by oscillation examples

Answer 9

(-2)^x or cos(x)

Question 10

Lim to inf of Cosx/x

Answer 10

0

Question 11

Lim of (Cos(2x)-1) / 3x to 0

Answer 11

Rewrite into the identities and the multiply by inverse of the internals

Question 12

Leading terms

Answer 12

Use with lims to inf and use the first term on top and bottom

Question 13

Lim to inf for zero over zero

Answer 13

Do algebra

Question 14

Lim to inf if nonzero over zero

Answer 14

Inf, -inf or DNE keep track of signs

Question 15

Union

Answer 15

Only use union for holes not piecewise

Question 16

Intervals of continuity

Answer 16

Pieces you draw without lifting pencil

Question 17

Sequence form

Answer 17

An = Fn

Question 18

Recursive formula

Answer 18

An =An-1 •r

Question 19

Intermediate value theroem

Answer 19

Prove that for the countinous chunk, equation goes through 0 or given value

Question 20

Bisection method

Answer 20

Use intermediate theorem, then find the midpoint. Figure out if 0 is still between them, and do intermediate theroem again. Repeat till zero or as necessary