The unemployment rate U(t) varies with time. The table gives the percentage of unemployed in a certain country's labor force from 1999 to 2008. tU(t) 1999 4.2 2004 5.3 2000 4.0 2001 4.7 2002 5.9 2003 6.4 t U(t) 2005 5.1 2006 4.5 2007 4.5 2008 5.9 (a) What is the meaning of U'(t)? O The derivative U'(t) is the percentage of people who are unemployed at a given time. O The derivative U(t) is the number of people who are unemployed at a given time. O The derivative U(t) is the rate at which the unemployment rate is changing with respect to time. O The derivative U'(t) is the rate at which people are being fired with respect to time. What are its units? O percent unemployed people per year O people O percent unemployed per year (b) Construct a table of values for U'(t). (Use h = 1 for 1999 and h = -1 for 2008. For all other years, use h = -1 and h = 1.) U'(t) 1999 -0.2 U'(t) 2004 2000 2005 2001 2006 2002 2007 2003 2008

Q: - g(4)= <F 1 • g(x)= x² +. 5

A:

Q: 21. y = x² + 1 – 1 I - zx 3

A:

Q: Find the derivative of the algebraic function. c5-x5 c5 + x5 f'(x) = f(x) = c is a constant. X

A:

Q: Unemployment and inflation are inversely related, with one rising as the other falls, and an…

A: Given y=9.638 x-1.394-0.900, where x and y are both in percent.   To Find: derivative of above…

Q: If the sign of the first derivative function is positive, the main function f(x) is decreasing.

A: We have to tell If the sign of the first derivative function is positive , the main function f(x) is…

Q: 43. y = (secx + tanx) 5

A: To calculate the derivative of the following function.

Q: Find the derivative of the function. √5-3 √√5 +5 f(s) =

A: given function

Q: Find the derivative of the function at the given point in the direction of A. f(xу,2) - 4x - 5у -…

A: Use the formula of the directional derivative and solve accordingly.

Q: Calculate the derivative. f (x) = (x + 3)(x − 1)(x − 5)

A: The given function is In the expanded form the above function can be written as

Q: Calculate the derivative of the function. r(s) = (35+ sº.1)-1 r(s) =

A:

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(s) :…

A:

Q: h the graph of the derivative of the given function. 0 -4 -4 у 4 у 4 4 у X 4 X -4 у 4 У 4

A: Given query is to find the graph of the derivative.

Q: Example 4:- By using the four steps rule, find the derivative of the function f(x) = Vx + 2

A:

Q: Populations starting out in closed environments grow slowly at first, when there are relatively few…

A: Here we have to find the graph of the derivative of the fruit fly population. After observing the…

Q: Oil Production in Mexico The following graph shows approximate daily oil production by a country's…

A: