Velocity functions A projectile is fired vertically upward into the air; its position (in feet) above the ground after t seconds is given by the function s ( t ). For the following functions, use limits to determine the instantaneous velocity of the projectile at t = a seconds for the given value of a . 13. s ( t ) = − 16 t 2 + 100 t ; a = 1
Velocity functions A projectile is fired vertically upward into the air; its position (in feet) above the ground after t seconds is given by the function s ( t ). For the following functions, use limits to determine the instantaneous velocity of the projectile at t = a seconds for the given value of a . 13. s ( t ) = − 16 t 2 + 100 t ; a = 1
Velocity functions A projectile is fired vertically upward into the air; its position (in feet) above the ground after t seconds is given by the function s(t). For the following functions, use limits to determine the instantaneous velocity of the projectile at t = a seconds for the given value of a.
+6x²+135x+1) (0≤x≤10). a) Find the number of units
The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x²+6x² + 135x+
that should be sold in order to maximize the total profit. b) What is the maximum profit?
The fox population in a certain region has an annual growth rate of 8 percent per year. It is estimated that the
population in the year 2000 was 22600.
(a) Find a function that models the population t years after 2000 (t = 0 for 2000).
Your answer is P(t)
=
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer should be an integer)
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