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The fox population in a certain region has a relative growth rate of 6 percent per year. It is estimated that the population in the year 2000 was 17700. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Round your answer to the nearest fox. In 2008, the fox population will be
How much money is in an account after 5 years if $4500 is invested at 4.9% interest compounded: A) annually? B) monthly? C) continuously?
Find at x = 2 if y = dy dt dy dt 4x² + 4 and dx dt = 2.
The area of a healing wound is given by A = ². The radius is decreasing at the rate of 4 millimeter per day at the moment when r = 44. How fast is the area decreasing at that moment? Select an answer
The volume of a cylinder of height 12 inches and radius r inches is given by the formula V - 12πr². = Which is the correct expression for dV dt dV dt dV dt dV dt dV dt = answer: = 12пр2 24πr- = 0 dr dt dr dt dr dh dt dt = 24πr- 24πη dt dV d.t ? Suppose that the radius is expanding at a rate of 0.8 inches per second. How fast is the volume changing when the radius is 2.1 inches? Use at least 5 decimal places in your answer. cubic inches per second
Suppose you want to find √81.03. The line tangent to the graph of y = This means √x≈ Consequently /81.03~ √x at x = 81 will have equation y =
Let y = tan(2x + 8). Find the differential dy when x = 3 and dx Find the differential dy when x = 3 and dx = 0.1 = 0.2