1. A minivan was purchased for $32,000. If the value of the minivan depreciates by $1,700 per year, find a linear function that models the value V  of the car after t  years. Use the function and find the value of the car after 5 years. 2. Simplify tan x(csc x - sin x) 3. A research lab grows a type of bacterium in culture in a circular region. The radius of the circle, measured in centimeters, is given by  , where t is time measured in hours passed since a circle of a 1cm radius of the bacterium was put into the culture. Express the area, A(t) , of the bacteria as a function of time, and find the approximate area of the bacterial culture in 4 hours. 4. A pendulum moving in simple harmonic motion is modelled by the function , where  is measured in inches and t is measured in seconds. Determine the first time when the distance moved is 4 inches. 5. Solve . 6. Estimate the slope of the tangent line to  at x =2 by finding the slope of the secant line through (2,f(2))  and (2.001,f(2.001)) .

1. 1. A minivan was purchased for $32,000. If the value of the
minivan depreciates by $1,700 per year, find a linear function
that models the value
V
of the car after
t
years. Use the function and find the value of the car after
5 years.
2. Simplify tan x(csc x - sin x)
3. A research lab grows a type of bacterium in culture in a
circular region. The radius of the circle, measured in
centimeters, is given by
, where t is time measured in hours passed since a circle of a
1cm radius of the bacterium was put into the culture. Express
the area, A(t)
, of the bacteria as a function of time, and find the approximate
area of the bacterial culture in 4 hours.
4. A pendulum moving in simple harmonic motion is modelled
by the function
, where
is measured in inches and t is measured in seconds. Determine
the first time when the distance moved is 4 inches.
5. Solve
.

2. 6. Estimate the slope of the tangent line to
at x =2 by finding the slope of the secant line through (2,f(2))
and (2.001,f(2.001))