Question

math final 172

Problems 16-17 are worth 8 credits each 1 Let fx)9 and let ga)-1. Specity the domain of f(x)/slz). 2. Draw the graph of y 3cos 2x from z0to x-2 3. Draw the graph of y 4-+2. 4Write an equation of the line perpendicular to the line y-2r-3 through (4,1) and sketch its graph. 5. Draw the graph of y- -2r-2 and label its maximum 6. Draw the graph of y-V-I 7. In triangle ABC, side a-8 in., side b 4 in. and LC- 30°. Find the length of sidee (Leave your answer in radical form.) 8. Write an equation of the line given the graph in Figure A on the back of this page 9. Write an equation of the parabola given its graph in Figure B on the back of this page 0. Let g(a)-100es, Write the inverse of g and specify its domain. 11. Let f(a)-3x+5. Compute and simplify the difference quotient given by o 12 If cos(a)-3/5 and z is an angle in Quadrant IV, find the value of sin(a). 13. State the formula for cos(a + b) and use it to show cos(3/2+b)-sin(b) 14 Draw the graph of f)3Indicate aymptotes. 5-z, for zs3 15. Draw the graph of F(a5,for z>3 16. If a club charges dues of $200 a year, it will have 50 members. For each $5 it raises its dues, it loses a member. USE AN EQUATION to determine what the club should charge to maximize its income from dues. 17. There are 50 bacteria in a Petri dish and the number of bacteria triples every 7 hours. ) Write a function that gives the number of bacteria, B(), after t hours (b) How many hours will it take for the number of bacteria to reach 500? (A formula will suffice)

Answer 1

1-9 1-9 2 리: 349,211 스 2- 2 12