Wednesday
July 23, 2014

Homework Help: calculus

Posted by Janet on Wednesday, March 16, 2011 at 1:52am.

I solved this problem, can someone check it to make sure I did it right. There are two parts to this intrepation and estimate of the value.

Let C(t) be the total value of the US currency (coins and banknotes) in circulation at time, t. The table gives values of this function from 1980 to 2000, as of September 30, in billions of dollars. Intrepret and estimate the value of C'(1990).

Interpretation is that C'(1990) signigies the rate of change of C with respect to the twhen t=1990. Basically the rate of increase of value of US currency in 1990.

t 1980 1985 1990 1995 2000
C(t) 129.9 187.3 271.9 409.3 568.6

I solved this using the difference quotient
C'(1990) =
lim-->1990 C(t)-C(1990)/t-1990
I calculated these values by plugging into the above equation for each year in the table.

I got 14.2 billion for 1980, 16.92 for 1985, 27.4 for 1995 and 29.67 for 2000. C'(1990) would fall in between the 1985 and 1995 values so I averaged them to get the 1990 value at 22.16 billion for C'(1990).

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Calculus - I finished the first question with no problem. It was something like...
Algebra - (x=1 is the day tickets go on sale) Tickets= -0.2x^2+12x+11 1) Use the...
Please Help!!!!!! - Decide whether the following problem can be solved using ...
Calculus-Solved-Please Check? - estimate cube root of 25 by linear approximation...
English - 1. I stayed there for two weeks. 2. I stayed there two weeks. Are both...
Python programming - A standard problem in mathematics is to measure the area ...
math estimate - can you check: i need to estimate the value of each expression: ...
Algebra - |3x+8|=20; -4 Basically that 4 is asking whether that is a possible ...
Pre-calculus - I want to make sure this is right. the inverse of f(x)=(-3x+2)/(...
Stats: Joint Density Function - Let the joint density function of X and Ybe ...

Search
Members