The number of students in a school infected with the flu t days after exposure

# The number of students in a school infected with the

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The number of students in a school infected with the flu t days after exposure is modeled by the function 3 500 1 t P t e . (a) How many students were infected after four days? (b) When will 200 students be infected? ______________________________________________________________________________ Evaluate. 18. 1 3 cos Sin 2 19. tan Arcsec 3 x ______________________________________________________________________________ 20. Convert 2 6 cos 0 r r into rectangular form. 21. Sketch the graph of 2 2sin r   . 22. Sketch the graph of 1 2cos r   . ______________________________________________________________________________ Find the limit. 23. 3 3 3 lim 27 x x x 24. 0 2 2 lim y y y 25. 2 3 3 3 4 lim 5 2 x x x x x    TURN--->>> 26. Find the slope of the line tangent to 3 2 3 4 at the point 1,2 . f x x x x
27. Find an equation of a line that is tangent to 2 5 g x x   and is perpendicular to the line 6 7 0. x y ______________________________________________________________________________ Use the definition of the derivative to find the derivative. 28. 2 1 f x x 29. 3 2 5 f x x x _____________________________________________________________________________ Write a function, and use your graphing calculator to solve. Give decimal answers correct to three decimal places. 30. A container with square base, vertical sides, and an open top is to be made from 2 1000 ft of material. Find the dimensions of the container with greatest volume. 31. A piece of wire 10 m long is cut into two pieces. One piece is bent into a square, and the other is bent into an equilateral triangle. How should the wire be cut so that the total area enclosed is (a) a maximum? (b) a minimum? 4 mi. S 32. On the same side of a straight river are two towns, and the townspeople want to build a pumping station at point S . 1 mi. 4 mi. Find the distance from S to Town 1 that will minimize the total length of pipe. Town 1 Town 2