Math 160 Notes Packet #6 Quadratic Functions - Prof. Beydler (Page 6 of 6) in pdf

Math 160 Notes Packet #6 Quadratic Functions - Prof. Beydler Page 6

Notes Packet #6

Math 160

Page 6 of 6

8. A rectangular plot of land is going to be divided into two adjacent playgrounds (see diagram). If

the total number of feet of fencing is 200, find the maximum total area enclosed by both

playgrounds. (Note: there is only one fence between the playgrounds, not two.)

9. A Precalculus book is thrown up and off the top of a 100-foot building (don’t get any ideas!). The

height of the book �� seconds after throwing it is given by the function ℎ ( �� ) = 100 + 64�� − 16��

(in feet). What is maximum height attained by the book? When does this happen?

10. A jumping robot jumps up. The height of the robot �� seconds after jumping is given by the

function �� ( �� ) = 98�� − 4.9��

(in meters). What is maximum height attained by the robot? When

does this happen?

Optional exercises from the Sullivan book if you’d like more practice:

3.3 (p.145) #13-29 odd, 33-47 odd (parts a and b only, don’t find axis of symmetry), 55-61 odd

3.4 (p.153) #7, 9, 11abcf, 16

Math 160 Notes Packet #6 Quadratic Functions - Prof. Beydler Page 6