math dp exam

Question 1

How do you use lohpital’s rule to calculate limits?

Answer 1

You take the numerator and denominator seperatley and calculate what you’d get when substituting x=a into the numerator and denominator. If you get 0/0 or infinity/infinity, you can seperatley differentiate the numerator and denominator then substitute x=a into that to find the limit.

limit might not exist if you do the first step and don’t get 0/0 or infinity/infinity

limit might not exist if the derivative doesnt exist like the derivative of the absolute value of x

limit might not exist if you repetitively get 0/0 and infinity/infinity after doing lohpitals rule

Question 2

How do you put a cubed root in calculator?

Answer 2

go to math and choose the 5th option.

Question 3

What is the compound interest rate formula and the depreciation formula

Answer 3

compound:
FV=PV (1+r)^n

depreciation:
V=Vo(1-r)^n

Question 4

What can you do if you get a^m times a^n?

What can you do to simplify if you get a^m / a^n?

What can you do if you get (ab)^n

Answer 4

you can simplify that to a to the m + n

you can do a ^m-n

You can do a^n times b^n

Question 5

how do you simplify logb (x^n)

how do you simplify log b (xy)

simplify logb (x/y)

simplify logb (a)

Answer 5

you would get n times log b(x)

you would do logb (x) + logb (y)

you’d get logb (x) minus logb (y)

logc (a) / logc (b)

Question 6

What is lne

Answer 6

1