Name:____________________________________ PeopleSoft ID:_______________ Math 1330 Written Homework (WHW 3) Section 5.2. Instructions: Homework will NOT be accepted through email or in person. Homework must be submitted through CourseWare BEFORE the deadline. Print out this file and complete the problems. Use blue or black ink or a dark pencil; write neatly. Write your name and PS ID on each page. Write your solutions in the space provided. You must show ALL work to receive credit. Once completed, scan your homework and upload it as a single PDF file under the \"assignments\" tab at CASA. Make sure your homework is easily readable. Must have correct orientation (not sideways or upside down!). If the grader can't read your work, you will not get credit for it. Submit this assignment at http://www.casa.uh.edu under \"Assignments" and choose the corresponding WHW. This week you have both an electronic assignment and a written assignment. Turn in the EHW under EMCF tab, and turn in WHW under \"assignments\" tab. Total points: 15 1. Given f ( x) 3cos 4 x 1 ; a) State the period. b) State the range. c) Graph this function over one period clearly labeling 5 key points. Page 1 of 3 Name:____________________________________ PeopleSoft ID:_______________ 2. Given f ( x ) 2 sin 2 x 3 ; a) State the period. b) State the range. c) Graph this function over one period clearly labeling 5 key points. 3. Given f ( x) 2sin x ; 4 a) State all x-intercepts over the interval 0, 4 b) State the point(s) in 0, 2 answer as a point (x,y). . where the graph of this function reaches a maximum. Give your Page 2 of 3 Name:____________________________________ PeopleSoft ID:_______________ 4. Given f ( x ) 4 cos x ; a) State the range. b) State all x-intercepts over the interval 0, 6 . c) State the point(s) in [0,2] where the graph of this function reaches a maximum. Give your answer as a point (x,y). 2 t 2010 60 11 (where t represents the year) models the number of visible sunspots. The last maximum occurred in year 2010. (On this problem, there isn't much work to show, simply write your answers.) 5. The sinusoidal function N (t ) 50 cos a) What is the maximum number of visible sunspots? _______ b) What is the minimum number of visible sunspots? _______ c) What is the period? ______ d) In which year will we observe a maximum in our nearest future? _______ Page 3 of 3